update on intro

This commit is contained in:
mhjensen
2020-08-19 11:44:39 +02:00
parent 1f64c42f9c
commit 918b257206
26 changed files with 3682 additions and 620 deletions
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# import necessary packages
import numpy as np
import matplotlib.pyplot as plt
from sklearn import datasets
# ensure the same random numbers appear every time
np.random.seed(0)
# display images in notebook
plt.rcParams['figure.figsize'] = (12,12)
# download MNIST dataset
digits = datasets.load_digits()
# define inputs and labels
inputs = digits.images
labels = digits.target
# RGB images have a depth of 3
# our images are grayscale so they should have a depth of 1
inputs = inputs[:,:,:,np.newaxis]
print("inputs = (n_inputs, pixel_width, pixel_height, depth) = " + str(inputs.shape))
print("labels = (n_inputs) = " + str(labels.shape))
# choose some random images to display
n_inputs = len(inputs)
indices = np.arange(n_inputs)
random_indices = np.random.choice(indices, size=5)
for i, image in enumerate(digits.images[random_indices]):
plt.subplot(1, 5, i+1)
plt.axis('off')
plt.imshow(image, cmap=plt.cm.gray_r, interpolation='nearest')
plt.title("Label: %d" % digits.target[random_indices[i]])
plt.show()
from keras.utils import to_categorical
from sklearn.model_selection import train_test_split
# representation of labels
labels = to_categorical(labels)
# split into train and test data
# one-liner from scikit-learn library
train_size = 0.8
test_size = 1 - train_size
X_train, X_test, Y_train, Y_test = train_test_split(inputs, labels, train_size=train_size,
test_size=test_size)
import tensorflow as tf
from keras.models import Sequential
from keras.layers.convolutional import Conv2D
from keras.layers.convolutional import MaxPooling2D
from keras.layers import Flatten
from keras.layers import Dense
from keras.regularizers import l2
from keras.optimizers import SGD
def create_convolutional_neural_network_keras(input_shape, receptive_field,
n_filters, n_neurons_connected, n_categories,
eta, lmbd):
model = Sequential()
model.add(Conv2D(n_filters, (receptive_field, receptive_field), input_shape=input_shape, padding='same',
activation='relu', kernel_regularizer=l2(lmbd)))
model.add(MaxPooling2D(pool_size=(2, 2)))
model.add(Flatten())
model.add(Dense(n_neurons_connected, activation='relu', kernel_regularizer=l2(lmbd)))
model.add(Dense(n_categories, activation='softmax', kernel_regularizer=l2(lmbd)))
sgd = SGD(lr=eta)
model.compile(loss='categorical_crossentropy', optimizer=sgd, metrics=['accuracy'])
return model
epochs = 100
batch_size = 100
input_shape = X_train.shape[1:4]
receptive_field = 3
n_filters = 10
n_neurons_connected = 50
n_categories = 10
eta_vals = np.logspace(-5, 1, 7)
lmbd_vals = np.logspace(-5, 1, 7)
CNN_keras = np.zeros((len(eta_vals), len(lmbd_vals)), dtype=object)
for i, eta in enumerate(eta_vals):
for j, lmbd in enumerate(lmbd_vals):
CNN = create_convolutional_neural_network_keras(input_shape, receptive_field,
n_filters, n_neurons_connected, n_categories,
eta, lmbd)
CNN.fit(X_train, Y_train, epochs=epochs, batch_size=batch_size, verbose=0)
scores = CNN.evaluate(X_test, Y_test)
CNN_keras[i][j] = CNN
print("Learning rate = ", eta)
print("Lambda = ", lmbd)
print("Test accuracy: %.3f" % scores[1])
print()
# visual representation of grid search
# uses seaborn heatmap, could probably do this in matplotlib
import seaborn as sns
sns.set()
train_accuracy = np.zeros((len(eta_vals), len(lmbd_vals)))
test_accuracy = np.zeros((len(eta_vals), len(lmbd_vals)))
for i in range(len(eta_vals)):
for j in range(len(lmbd_vals)):
CNN = CNN_keras[i][j]
train_accuracy[i][j] = CNN.evaluate(X_train, Y_train)[1]
test_accuracy[i][j] = CNN.evaluate(X_test, Y_test)[1]
fig, ax = plt.subplots(figsize = (10, 10))
sns.heatmap(train_accuracy, annot=True, ax=ax, cmap="viridis")
ax.set_title("Training Accuracy")
ax.set_ylabel("$\eta$")
ax.set_xlabel("$\lambda$")
plt.show()
fig, ax = plt.subplots(figsize = (10, 10))
sns.heatmap(test_accuracy, annot=True, ax=ax, cmap="viridis")
ax.set_title("Test Accuracy")
ax.set_ylabel("$\eta$")
ax.set_xlabel("$\lambda$")
plt.show()
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27.863,81.3,0.684,0.67499999,0.935704,0.895263,0.860392,0.828773,0.800406,0.77565,0.754507,0.733421,0.712393,0.696175,1.2255,1.19174,1.16223,1.13578,1.11239,1.08962,1.06747,1.04598,1.02517,1.00707,1.18134,1.19927,1.22091,1.24292,1.26529,1.28783,1.31055,1.33174,1.35141,1.38062,1.41,1.43289,1.44659,0.00161225,0.00171975,0.00184125,0.00197625,0.00212475,0.00229625,0.00249075,0.00270075,0.00292625,0.00320125,0.00198625,0.00214825,0.00232675,0.00252575,0.00274525,0.002988,0.003254,0.0035435,0.0038565,0.0042145,0.00165523,0.00173608,0.00192051,0.00215152,0.00242909,0.00274988,0.00311388,0.00352215,0.0039747,0.00477063,0.00602912,0.00759797,0.00900774
27.039,93.9,0.66,0.984999914,0.970407,0.940277,0.916194,0.894327,0.874673,0.857249,0.842055,0.827939,0.814902,0.805633,1.25397,1.24088,1.23479,1.23179,1.23187,1.23237,1.23328,1.23488,1.23716,1.24453,1.16826,1.18234,1.20118,1.22124,1.24253,1.26643,1.29295,1.32024,1.34829,1.39337,1.45146,1.50515,1.54492,0.001699,0.0018465,0.0020155,0.00220775,0.00242325,0.00266825,0.00294275,0.00325475,0.00360425,0.0040205,0.002089,0.00231675,0.00258025,0.002883,0.003225,0.00361275,0.00404625,0.00454375,0.00510525,0.00577975,0.00164354,0.00171613,0.00189519,0.0021259,0.00240827,0.00274519,0.00313668,0.0035893,0.00410304,0.00504336,0.00660103,0.00862816,0.0105479
33.013,101.1,0.852,1.065000245,1.0109,0.983213,0.960695,0.94098,0.924067,0.910037,0.898889,0.889082,0.880617,0.872387,1.33896,1.33317,1.33173,1.33277,1.33627,1.34146,1.34834,1.35429,1.35933,1.36636,1.17469,1.19232,1.21553,1.23968,1.26477,1.29331,1.3253,1.35645,1.38675,1.43162,1.48728,1.53358,1.5664,0.0017045,0.0018585,0.0020315,0.002225,0.002439,0.00268175,0.00295325,0.00326125,0.00360575,0.00398925,0.0021415,0.00238725,0.00266375,0.002978,0.00333,0.00372825,0.00417275,0.0046685,0.0052155,0.00585125,0.00154136,0.00162633,0.00181618,0.00205674,0.00234802,0.00269283,0.00309119,0.00354277,0.0040476,0.0049417,0.00638282,0.00817651,0.00982853
31.571,38.1,0.764,0.754999993,1.06613,1.03002,0.995255,0.961843,0.929783,0.901983,0.878441,0.854928,0.831441,0.81065,1.41838,1.4001,1.38116,1.36303,1.3457,1.32594,1.30374,1.28389,1.26639,1.24972,1.18682,1.20255,1.22339,1.24719,1.27395,1.30194,1.33117,1.36002,1.38849,1.43299,1.47737,1.51289,1.54189,0.00178275,0.00193025,0.00208875,0.00225825,0.00243875,0.002646,0.00288,0.0031335,0.0034065,0.00371575,0.00224775,0.0024825,0.0027355,0.003013,0.003315,0.00363675,0.00397825,0.00436325,0.00479175,0.0052745,0.00154537,0.00162957,0.00181523,0.00205415,0.00234631,0.00268768,0.00307825,0.00352279,0.0040213,0.00490967,0.00629291,0.00802616,0.00963066
30.953,70.5,0.652,1.075000262,1.07979,1.05635,1.03618,1.01648,0.997264,0.98051,0.966221,0.953969,0.943755,0.934708,1.40813,1.41366,1.42187,1.43279,1.44642,1.46281,1.48196,1.50244,1.52424,1.54021,1.17208,1.18334,1.19985,1.21947,1.24221,1.27062,1.3047,1.33874,1.37272,1.43056,1.51329,1.59533,1.64795,0.0018435,0.00203025,0.00224075,0.0024755,0.0027345,0.0030315,0.0033665,0.0037555,0.0041985,0.004707,0.002311,0.002612,0.002954,0.00335025,0.00380075,0.00433125,0.00494175,0.00565125,0.00645975,0.007366,0.00157791,0.00165038,0.0018247,0.00205369,0.00233734,0.00268595,0.00309952,0.00358004,0.00412751,0.00515112,0.00691187,0.00927138,0.0114633
34.661,68.7,0.844,0.934999645,1.06687,1.03851,1.01148,0.987597,0.966865,0.946295,0.92589,0.908161,0.893107,0.880923,1.4297,1.42739,1.42547,1.42306,1.42017,1.41847,1.41794,1.4175,1.41714,1.41942,1.18278,1.19952,1.22079,1.24606,1.27533,1.30691,1.34079,1.37515,1.40999,1.45533,1.51573,1.57412,1.61147,0.00178675,0.001952,0.00213,0.00232925,0.00254975,0.0027885,0.0030455,0.0033405,0.0036735,0.00405375,0.002277,0.00254925,0.00284775,0.0031785,0.0035415,0.0039485,0.0043995,0.00490375,0.00546125,0.006108,0.0015204,0.00160748,0.00179583,0.00204085,0.00234253,0.00269863,0.00310917,0.00357819,0.00410571,0.00502044,0.00652048,0.00843206,0.0101689
26.627,88.5,0.676,0.714999978,0.917462,0.880085,0.846724,0.818363,0.795001,0.77108,0.746599,0.727724,0.714455,0.700722,1.19218,1.16246,1.13701,1.11386,1.09299,1.07353,1.05547,1.04094,1.02995,1.01652,1.17842,1.19587,1.21499,1.23569,1.25798,1.27946,1.30013,1.32147,1.34349,1.36825,1.40349,1.43615,1.45078,0.001596,0.0017075,0.0018305,0.0019735,0.0021365,0.002312,0.0025,0.0027265,0.0029915,0.003284,0.00195025,0.002116,0.0023,0.00250575,0.00273325,0.0029865,0.0032655,0.0035875,0.0039525,0.004351,0.0016703,0.00174897,0.00192898,0.00215774,0.00243524,0.0027551,0.00311733,0.00352967,0.00399214,0.00478204,0.00609215,0.00774999,0.00922696
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28.893,119.1,0.988,0.735000253,0.893324,0.850249,0.813204,0.777651,0.743587,0.713735,0.688094,0.662889,0.638122,0.615241,1.16409,1.12337,1.08557,1.05027,1.01746,0.984557,0.951559,0.918478,0.885315,0.857534,1.1672,1.19021,1.21495,1.23837,1.26048,1.28235,1.30399,1.32167,1.3354,1.36004,1.38126,1.38652,1.39411,0.001372,0.0014425,0.0015215,0.00160475,0.00169225,0.0017925,0.0019055,0.00202525,0.00215175,0.002292,0.001667,0.00177,0.00188,0.001998,0.002124,0.00225525,0.00239175,0.00253375,0.00268125,0.00285525,0.00147622,0.00156739,0.00174143,0.00194738,0.00218523,0.00245292,0.00275044,0.00307164,0.00341653,0.00402487,0.00494414,0.00601287,0.00698649
30.129,83.1,0.748,0.645000084,0.956119,0.912382,0.87198,0.835878,0.804079,0.774989,0.74861,0.723229,0.698846,0.677756,1.26425,1.22461,1.18471,1.15009,1.12073,1.09182,1.06335,1.03554,1.00839,0.981991,1.18697,1.20731,1.22952,1.2527,1.27684,1.30032,1.32312,1.34275,1.35922,1.38538,1.41492,1.43767,1.44889,0.00159125,0.001687,0.001789,0.001904,0.002032,0.00217225,0.00232475,0.0024915,0.0026725,0.00288225,0.001971,0.00211525,0.00226575,0.00243475,0.00262225,0.002823,0.003037,0.00327,0.003522,0.003793,0.00160591,0.00169184,0.00187416,0.00210135,0.00237342,0.00268309,0.00303038,0.00341171,0.00382708,0.0045571,0.00570072,0.00710469,0.00834172
31.777,92.1,0.828,1.035000114,1.01234,0.985333,0.96149,0.941373,0.924983,0.907882,0.890072,0.877653,0.870626,0.864797,1.33774,1.33056,1.32889,1.32715,1.32533,1.33002,1.34121,1.34669,1.34646,1.34966,1.17491,1.19261,1.21443,1.23973,1.26851,1.29594,1.32202,1.35094,1.38271,1.42161,1.48654,1.54056,1.56074,0.00171425,0.00187,0.002042,0.00223675,0.00245425,0.00269,0.002944,0.00324775,0.00360125,0.00400275,0.00214975,0.00239575,0.00267525,0.00298425,0.00332275,0.0037235,0.0041865,0.00468525,0.00521975,0.0058395,0.00154936,0.00163473,0.00182285,0.00206668,0.00236623,0.00270941,0.00309621,0.00354575,0.00405802,0.00493282,0.00643339,0.00828926,0.00989812
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26.421,54.3,0.788,0.784999998,0.978739,0.939434,0.902539,0.870067,0.84202,0.81526,0.789786,0.76862,0.751763,0.733198,1.28854,1.25794,1.22844,1.2021,1.17891,1.15711,1.13672,1.11838,1.1021,1.08347,1.18666,1.20227,1.22238,1.2451,1.27042,1.29448,1.31726,1.33969,1.36178,1.39131,1.42977,1.46072,1.47799,0.00165525,0.00177625,0.00190475,0.00205,0.002212,0.0023905,0.0025855,0.00281,0.003064,0.003337,0.0020525,0.002235,0.002431,0.00264825,0.00288675,0.00315125,0.00344175,0.0037635,0.0041165,0.004499,0.00157324,0.00165785,0.00184464,0.00208265,0.00237189,0.00270195,0.00307282,0.00349044,0.00395481,0.00475916,0.0060703,0.00768447,0.00913155
29.717,32.7,0.708,0.634999908,1.04298,0.998871,0.956263,0.916092,0.878359,0.843323,0.810982,0.781669,0.755383,0.729026,1.37883,1.34638,1.31373,1.27917,1.24268,1.20612,1.16947,1.13735,1.10976,1.07884,1.18834,1.20439,1.22522,1.24777,1.27204,1.29707,1.32286,1.34873,1.37469,1.40614,1.43647,1.46244,1.48002,0.00173875,0.00185875,0.00198425,0.00212025,0.00226675,0.002427,0.002601,0.0027975,0.0030165,0.00324925,0.002167,0.002357,0.002557,0.00276725,0.00298775,0.00322075,0.00346625,0.00374125,0.00404575,0.00436325,0.00158059,0.00166113,0.00184234,0.0020718,0.00234949,0.00267342,0.0030436,0.00346154,0.00392725,0.00472746,0.0059784,0.00753397,0.00893714
34.867,61.5,0.628,0.794999967,1.10063,1.07335,1.04852,1.0241,1.0001,0.980454,0.96517,0.947649,0.92789,0.912034,1.45198,1.45294,1.45591,1.45964,1.46413,1.46897,1.47417,1.47923,1.48414,1.48845,1.17741,1.19193,1.2115,1.23327,1.25723,1.28611,1.31991,1.35426,1.38916,1.44532,1.51315,1.58082,1.63227,0.0018785,0.0020575,0.0022565,0.002478,0.002722,0.0030065,0.0033315,0.0036845,0.0040655,0.0045165,0.00236975,0.00266375,0.00299525,0.00337425,0.00380075,0.0042865,0.0048315,0.00544925,0.00613975,0.0069265,0.00159775,0.00167529,0.00185345,0.00208477,0.00236923,0.00271669,0.00312715,0.00360434,0.00414823,0.00515747,0.00682307,0.00902998,0.0111152
29.099,90.3,0.636,0.885000359,0.993097,0.962398,0.935508,0.91128,0.889714,0.869999,0.852136,0.839062,0.830774,0.820539,1.29573,1.28367,1.27576,1.268,1.2604,1.2556,1.25361,1.25428,1.25763,1.2637,1.17241,1.18458,1.20167,1.22349,1.25006,1.27739,1.30546,1.33445,1.36435,1.4045,1.45761,1.50447,1.54047,0.00174475,0.00189675,0.00206825,0.00226175,0.00247725,0.002723,0.002999,0.00332925,0.00371375,0.0041385,0.00216925,0.0024075,0.0026765,0.00297925,0.00331575,0.00370325,0.00414175,0.0046575,0.0052505,0.0059405,0.00165355,0.00172481,0.00190221,0.00213818,0.00243271,0.00277989,0.00317973,0.00364368,0.00417174,0.00510723,0.00667395,0.00870514,0.0106484
33.219,108.3,0.772,0.724999978,0.956354,0.92135,0.890873,0.860411,0.829965,0.805773,0.787837,0.769456,0.750632,0.735227,1.2713,1.2443,1.2217,1.20059,1.18099,1.16168,1.14266,1.12438,1.10684,1.09205,1.1781,1.19934,1.22369,1.25142,1.28252,1.30871,1.32998,1.35103,1.37188,1.4099,1.44618,1.46815,1.48542,0.00161275,0.00172975,0.00185925,0.00199575,0.00213925,0.00230975,0.00250725,0.0027205,0.0029495,0.00321875,0.00201525,0.0021925,0.0023895,0.002605,0.002839,0.00309375,0.00336925,0.003674,0.004008,0.00438625,0.00159408,0.0016845,0.00187421,0.00211569,0.00240894,0.00273363,0.00308974,0.00349064,0.00393631,0.00474327,0.00597919,0.00747564,0.00883957
27.245,48.9,0.956,0.744999875,0.975936,0.919364,0.866417,0.817485,0.77257,0.729435,0.68808,0.650834,0.617698,0.586692,1.29326,1.23653,1.17867,1.12317,1.07003,1.01645,0.96243,0.912074,0.865378,0.822492,1.20316,1.2205,1.24091,1.26113,1.28116,1.30286,1.32623,1.34565,1.36111,1.37995,1.39632,1.40117,1.40201,0.0015565,0.001634,0.001714,0.00179875,0.00188825,0.00197875,0.00207025,0.00217675,0.00229825,0.00242825,0.00192775,0.0020435,0.0021565,0.00227375,0.00239525,0.00251175,0.00262325,0.00274625,0.00288075,0.00302825,0.0015124,0.00160227,0.00178456,0.00200635,0.00226761,0.00256912,0.00291088,0.00328319,0.00368605,0.0043712,0.0054216,0.00667743,0.00779843
35.897,65.1,0.74,0.775000018,1.07392,1.04393,1.01656,0.989526,0.962825,0.938231,0.915744,0.894589,0.874769,0.857622,1.43712,1.42915,1.42216,1.41728,1.41451,1.40929,1.40163,1.39089,1.37706,1.36816,1.18194,1.19963,1.22355,1.24959,1.27776,1.30753,1.33891,1.3696,1.3996,1.45146,1.51685,1.56482,1.59558,0.00181925,0.001983,0.002163,0.002356,0.002562,0.00279325,0.00304975,0.003333,0.003643,0.0040005,0.0023115,0.0025755,0.0028665,0.0031945,0.0035595,0.00395625,0.00438475,0.0048515,0.0053565,0.00594625,0.00156083,0.00164763,0.00183921,0.00208442,0.00238327,0.0027346,0.00313841,0.00359838,0.00411452,0.00505785,0.00659095,0.00847501,0.0101951
35.279,74.1,0.724,0.655000038,1.04023,1.00123,0.964158,0.931051,0.901914,0.873386,0.845468,0.820295,0.797868,0.775029,1.39168,1.37099,1.34935,1.32595,1.3008,1.27668,1.25359,1.23115,1.20934,1.18524,1.18568,1.20479,1.22819,1.25246,1.27759,1.30638,1.33881,1.37014,1.40038,1.43363,1.47275,1.5086,1.52955,0.00175025,0.0018795,0.0020165,0.00216875,0.00233625,0.0025175,0.0027125,0.00292975,0.00316925,0.00343125,0.0022085,0.00242275,0.00265225,0.002895,0.003151,0.0034305,0.0037335,0.004068,0.004434,0.0048205,0.00158918,0.0016763,0.0018652,0.00210112,0.00238406,0.00272002,0.00310899,0.00354716,0.00403453,0.00484703,0.00614708,0.00776983,0.00922241
34.249,104.7,0.812,1.00499978,1.01263,0.986166,0.963744,0.942858,0.92351,0.90828,0.897169,0.888313,0.881711,0.872734,1.34606,1.33997,1.33827,1.33821,1.33977,1.34444,1.35224,1.35806,1.36189,1.36573,1.17381,1.19206,1.21559,1.24217,1.27182,1.30106,1.32992,1.35927,1.38914,1.43551,1.49397,1.53679,1.56514,0.0017235,0.00188125,0.00205575,0.002249,0.002461,0.0027045,0.0029795,0.0032975,0.0036585,0.00404825,0.00217125,0.00242075,0.00270225,0.003018,0.003368,0.00377175,0.00422925,0.004737,0.005295,0.005925,0.00155669,0.00164344,0.00183563,0.00208209,0.00238283,0.0027318,0.003129,0.00358217,0.00409132,0.00500189,0.00647835,0.0082945,0.0099594
28.687,113.7,0.836,0.924999856,0.918773,0.887821,0.862103,0.840172,0.822028,0.804911,0.788821,0.776059,0.766625,0.755581,1.20186,1.18047,1.16392,1.1498,1.1381,1.12859,1.12126,1.11707,1.11604,1.1128,1.17008,1.18949,1.2118,1.23611,1.26243,1.28665,1.30877,1.33007,1.35055,1.37678,1.41207,1.44775,1.47299,0.001546,0.0016675,0.0018045,0.0019595,0.0021325,0.0023235,0.0025325,0.0027755,0.0030525,0.00335575,0.00190325,0.00208225,0.00228275,0.00250775,0.00275725,0.003039,0.003353,0.003716,0.004128,0.00457775,0.00156896,0.00165452,0.00183913,0.00207312,0.0023565,0.00267725,0.00303538,0.003438,0.00388511,0.00465336,0.00589982,0.00748285,0.00893513
27.451,99.3,0.804,0.805,0.910763,0.874111,0.842871,0.816473,0.794917,0.775205,0.757338,0.739644,0.722121,0.708471,1.19223,1.16354,1.13759,1.11537,1.09686,1.08011,1.0651,1.04897,1.03172,1.01802,1.17603,1.19609,1.21951,1.24158,1.2623,1.28507,1.30991,1.33161,1.35018,1.37324,1.40007,1.42366,1.43698,0.0015355,0.00164375,0.00176525,0.0019035,0.0020585,0.002233,0.002427,0.00264025,0.00287275,0.00314375,0.00188675,0.00204725,0.00222175,0.00241925,0.00263975,0.00288425,0.00315275,0.00344625,0.00376475,0.0041285,0.00158798,0.00167566,0.00186276,0.00209193,0.00236316,0.00267984,0.00304197,0.00344182,0.0038794,0.00462662,0.00581799,0.00731384,0.00864988
33.837,36.3,0.868,0.764999889,1.0861,1.0482,1.01214,0.976858,0.942355,0.90838,0.874935,0.842208,0.8102,0.782814,1.45938,1.4372,1.41304,1.38729,1.35995,1.33158,1.30218,1.27095,1.23791,1.20365,1.19046,1.20829,1.23043,1.25619,1.28555,1.31499,1.34449,1.37175,1.39676,1.43227,1.47773,1.51904,1.53758,0.001768,0.00191075,0.00206225,0.002223,0.002393,0.0025715,0.0027585,0.00295875,0.00317225,0.00341825,0.00224375,0.00246925,0.00270975,0.002964,0.003232,0.003515,0.003813,0.004128,0.00446,0.004811,0.00149601,0.00158544,0.001771,0.00200992,0.00230218,0.00263958,0.00302212,0.00344957,0.00392195,0.00474526,0.0060635,0.00770556,0.00912415
32.807,117.3,0.668,0.825000153,0.960685,0.929625,0.902121,0.878224,0.857937,0.839758,0.823686,0.809112,0.796033,0.785657,1.26558,1.2502,1.23793,1.22717,1.21792,1.21067,1.20542,1.2013,1.19832,1.19791,1.1721,1.18911,1.21244,1.23738,1.26394,1.29085,1.31811,1.34545,1.37287,1.40885,1.45288,1.49529,1.52485,0.00169025,0.001828,0.00198,0.00215525,0.00235375,0.00257825,0.00282875,0.003117,0.003443,0.0038185,0.002105,0.00232225,0.00256475,0.002837,0.003139,0.0034835,0.0038705,0.00431175,0.00480725,0.00538375,0.00166202,0.00174118,0.00193054,0.00217195,0.00246541,0.00280912,0.00320308,0.0036523,0.0041568,0.00504203,0.00648949,0.00836735,0.010109
30.541,47.1,0.796,0.955000011,1.06639,1.03766,1.01262,0.988706,0.965923,0.94695,0.931787,0.917212,0.903225,0.888885,1.4125,1.40802,1.40725,1.40688,1.4069,1.40504,1.4013,1.40148,1.4056,1.41014,1.18002,1.19505,1.21616,1.23949,1.26503,1.29363,1.32528,1.35751,1.39032,1.44033,1.49406,1.54242,1.58681,0.001792,0.00196025,0.00214675,0.0023505,0.0025715,0.002825,0.003111,0.00343175,0.00378725,0.00417775,0.00227475,0.00254675,0.00285225,0.0031945,0.0035735,0.00398875,0.00444025,0.004962,0.005554,0.0062345,0.00153274,0.00161601,0.00180334,0.00204427,0.00233881,0.00268922,0.00309549,0.00356242,0.00409001,0.00503577,0.00653008,0.00843803,0.0102645
32.189,84.9,0.932,0.835000291,0.995785,0.958093,0.924415,0.893143,0.864275,0.838154,0.814777,0.79166,0.768803,0.746787,1.32468,1.29902,1.27789,1.25562,1.23222,1.20951,1.18749,1.16446,1.14043,1.11673,1.18852,1.20822,1.23244,1.25702,1.28196,1.30663,1.33105,1.35654,1.3831,1.41628,1.45056,1.47742,1.49563,0.00163075,0.001752,0.001884,0.002028,0.002184,0.00235525,0.00254175,0.0027455,0.0029665,0.00320675,0.00204125,0.00223,0.002438,0.002661,0.002899,0.00315475,0.00342825,0.00372425,0.00404275,0.00439,0.00151777,0.00161049,0.00180176,0.00203854,0.00232086,0.00264304,0.0030051,0.00341571,0.00387485,0.00466104,0.00588025,0.00737695,0.0087308
32.601,34.5,0.948,0.965000009,1.09462,1.06375,1.03432,1.00573,0.977984,0.952835,0.930285,0.908338,0.886993,0.867714,1.46065,1.45306,1.44753,1.43947,1.42887,1.4197,1.41194,1.40257,1.39158,1.37972,1.18784,1.20364,1.22371,1.24792,1.27627,1.30532,1.33505,1.36668,1.40022,1.44678,1.50436,1.55693,1.59031,0.001779,0.00194275,0.00211825,0.002307,0.002509,0.00273475,0.00298425,0.003257,0.003553,0.0038865,0.0022535,0.002518,0.002812,0.00312775,0.00346525,0.00384125,0.00425575,0.0047115,0.0052085,0.005751,0.00146867,0.00155384,0.00173641,0.00197448,0.00226806,0.00261054,0.00300192,0.00345359,0.00396553,0.00485784,0.00629849,0.00811763,0.00975208
33.425,106.5,0.892,0.684999897,0.976449,0.93286,0.892331,0.855684,0.822918,0.792691,0.765001,0.739283,0.715539,0.691747,1.29326,1.25859,1.22585,1.1914,1.15523,1.12247,1.09311,1.06187,1.02875,0.996137,1.18384,1.20432,1.22706,1.25091,1.27588,1.30069,1.32534,1.34997,1.3746,1.39842,1.42281,1.43707,1.44012,0.00154,0.001627,0.001719,0.0018205,0.0019315,0.0020525,0.0021835,0.00232825,0.00248675,0.00265425,0.00190825,0.002047,0.002195,0.0023465,0.0025015,0.00267175,0.00285725,0.0030465,0.0032395,0.00344575,0.00152873,0.00161739,0.00179422,0.00201024,0.00226544,0.00255341,0.00287415,0.00323274,0.00362919,0.00427432,0.00527185,0.00644644,0.00746019
25.803,45.3,0.82,0.66500009,0.96154,0.90709,0.855365,0.809034,0.768097,0.729528,0.693325,0.659993,0.62953,0.600347,1.26265,1.20932,1.15833,1.10654,1.05396,1.00435,0.957731,0.914714,0.875304,0.837836,1.19915,1.21598,1.2357,1.25551,1.27542,1.29492,1.31401,1.33409,1.35514,1.37012,1.37922,1.38834,1.3958,0.00156225,0.00163925,0.00171775,0.00180625,0.00190475,0.0020075,0.0021145,0.00223325,0.00236375,0.002506,0.0019185,0.00203675,0.00216025,0.002281,0.002399,0.00252425,0.00265675,0.00280175,0.00295925,0.00313075,0.00156087,0.00164604,0.00182556,0.00204639,0.00230852,0.00260565,0.00293777,0.00331349,0.00373282,0.00440617,0.00543518,0.00670119,0.0078516
29.923,77.7,0.94,0.625000083,1.01788,0.95503,0.894595,0.838108,0.78557,0.735579,0.688137,0.644446,0.604505,0.567963,1.33811,1.26851,1.19497,1.12898,1.07054,1.00563,0.93426,0.870479,0.814287,0.764954,1.20309,1.22108,1.23856,1.25735,1.27745,1.29683,1.3155,1.3286,1.33615,1.35567,1.36192,1.34871,1.34701,0.001804,0.0018585,0.0019135,0.00196975,0.00202725,0.00208475,0.00214225,0.002206,0.002276,0.00235325,0.006264,0.00648925,0.00668175,0.00689975,0.00714325,0.0073285,0.0074555,0.00760325,0.00777175,0.00799175,0.00385201,0.00403879,0.00441147,0.00485582,0.00537186,0.00595744,0.00661257,0.00730483,0.00803423,0.00933115,0.0112061,0.0133012,0.0152031
26.833,75.9,0.756,1.025000455,0.99508,0.966113,0.94071,0.918474,0.899405,0.8834,0.870459,0.856826,0.842501,0.831109,1.29794,1.28535,1.27528,1.2698,1.2689,1.26929,1.27096,1.27741,1.28867,1.29743,1.174,1.18734,1.20462,1.22622,1.25213,1.27839,1.30501,1.33093,1.35617,1.39711,1.44872,1.51071,1.56127,0.0017075,0.00185925,0.00202775,0.002218,0.00243,0.0026735,0.0029485,0.003252,0.003584,0.00397025,0.0021165,0.002347,0.002603,0.0029,0.003238,0.0036215,0.0040505,0.004552,0.005126,0.00577825,0.00158331,0.00165991,0.00184034,0.00207689,0.00236958,0.0027106,0.00309996,0.00354233,0.0040377,0.00493378,0.00639704,0.00835915,0.0102139
1 S0 L ms mv SN112EK42.5 SN112EK47.5 SN112EK52.5 SN112EK57.5 SN112EK62.5 SN112EK67.5 SN112EK72.5 SN112EK77.5 SN112EK82.5 SN112EK87.5 SN124EK42.5 SN124EK47.5 SN124EK52.5 SN124EK57.5 SN124EK62.5 SN124EK67.5 SN124EK72.5 SN124EK77.5 SN124EK82.5 SN124EK87.5 DREK12.5 DREK17.5 DREK22.5 DREK27.5 DREK32.5 DREK37.5 DREK42.5 DREK47.5 DREK52.5 DREK60.0 DREK70.0 DREK80.0 DREK87.5 SN112EK42.5_Error SN112EK47.5_Error SN112EK52.5_Error SN112EK57.5_Error SN112EK62.5_Error SN112EK67.5_Error SN112EK72.5_Error SN112EK77.5_Error SN112EK82.5_Error SN112EK87.5_Error SN124EK42.5_Error SN124EK47.5_Error SN124EK52.5_Error SN124EK57.5_Error SN124EK62.5_Error SN124EK67.5_Error SN124EK72.5_Error SN124EK77.5_Error SN124EK82.5_Error SN124EK87.5_Error DREK12.5_Error DREK17.5_Error DREK22.5_Error DREK27.5_Error DREK32.5_Error DREK37.5_Error DREK42.5_Error DREK47.5_Error DREK52.5_Error DREK60.0_Error DREK70.0_Error DREK80.0_Error DREK87.5_Error
2 31.159 43.5 0.98 0.86500015 1.04974 1.00937 0.971587 0.933543 0.895236 0.860123 0.828202 0.797841 0.769038 0.742806 1.40493 1.37751 1.35058 1.32147 1.29021 1.25781 1.2243 1.19163 1.15983 1.12686 1.19434 1.21192 1.23344 1.25778 1.28492 1.31206 1.33919 1.36544 1.39081 1.42918 1.47076 1.50127 1.51709 0.00169825 0.00183075 0.00197225 0.002117 0.002265 0.00242725 0.00260375 0.002796 0.003004 0.00324 0.00214625 0.002353 0.002573 0.0028035 0.0030445 0.00329925 0.00356775 0.003854 0.004158 0.00448225 0.0014783 0.0015686 0.00175557 0.00199321 0.00228153 0.00261454 0.00299226 0.0034163 0.00388665 0.0047132 0.00600829 0.00758672 0.00898081
3 35.073 56.1 0.7 0.874999781 1.10146 1.07655 1.05356 1.03265 1.01383 0.995491 0.977648 0.95974 0.941767 0.928342 1.46 1.46512 1.476 1.48391 1.48885 1.49423 1.50005 1.51005 1.52425 1.53633 1.17779 1.19134 1.20964 1.23401 1.26444 1.29513 1.32608 1.36158 1.40161 1.4532 1.51812 1.59659 1.65511 0.00186675 0.0020515 0.0022565 0.0024855 0.0027385 0.00302 0.00333 0.003673 0.004049 0.0045 0.00236375 0.002668 0.003018 0.0034055 0.0038305 0.00430975 0.00484325 0.0054735 0.0062005 0.0070255 0.00155663 0.0016348 0.00181482 0.00205576 0.0023576 0.00271148 0.00311739 0.00360118 0.00416282 0.00514327 0.00676129 0.00896646 0.0110487
4 32.395 66.9 0.86 0.854999997 1.03387 0.999617 0.967117 0.937034 0.909368 0.88484 0.863449 0.842654 0.822455 0.805631 1.37691 1.36034 1.34682 1.33146 1.31428 1.2995 1.28711 1.27224 1.25487 1.24206 1.18462 1.20281 1.22636 1.25178 1.27908 1.30598 1.33249 1.36163 1.39341 1.43365 1.48005 1.51807 1.54192 0.0017245 0.001867 0.002019 0.00218625 0.00236875 0.0025735 0.0028005 0.00304875 0.00331825 0.00362625 0.00217025 0.00239925 0.00265375 0.00292275 0.00320625 0.00352925 0.00389175 0.00427825 0.00468875 0.00516625 0.00152451 0.00161443 0.00180679 0.00205087 0.00234667 0.00268606 0.00306905 0.0035118 0.00401432 0.00487219 0.0062451 0.00794452 0.00946792
5 28.275 86.7 0.972 1.095000509 0.979704 0.948603 0.921646 0.900123 0.884032 0.867298 0.849921 0.837539 0.830154 0.821927 1.29187 1.27633 1.26373 1.25524 1.25084 1.24622 1.24137 1.23869 1.23817 1.23582 1.17578 1.19279 1.21577 1.23993 1.26528 1.29176 1.31937 1.34603 1.37173 1.405 1.4491 1.48531 1.50366 0.001609 0.00174425 0.00189475 0.0020665 0.0022595 0.00246925 0.00269575 0.002963 0.003271 0.00361025 0.00200825 0.00221725 0.00244775 0.00270975 0.00300325 0.0033285 0.0036855 0.00409075 0.00454425 0.00504425 0.00150577 0.00158926 0.00177469 0.00200909 0.00229248 0.00262103 0.00299473 0.00341652 0.00388638 0.00468878 0.00599276 0.00760304 0.00902788
6 27.657 79.5 0.612 0.975000093 1.02625 0.998031 0.974097 0.951106 0.929057 0.908939 0.89075 0.876159 0.865163 0.855486 1.32474 1.31925 1.31962 1.32045 1.32175 1.32643 1.33447 1.34221 1.34966 1.36205 1.1705 1.17938 1.19465 1.21375 1.23669 1.26262 1.29155 1.32245 1.35531 1.40611 1.47931 1.54623 1.5924 0.00178175 0.0019475 0.0021365 0.002348 0.002582 0.00285 0.003152 0.003508 0.003918 0.004394 0.0022055 0.00246825 0.00277075 0.003116 0.003504 0.00395725 0.00447575 0.005071 0.005743 0.006558 0.00163183 0.0016981 0.00186869 0.00209515 0.0023775 0.00271832 0.00311759 0.00358738 0.00412769 0.0051213 0.00683362 0.00908361 0.0112354
7 26.009 95.7 0.996 0.704999827 0.896872 0.843576 0.795678 0.750543 0.708171 0.669715 0.635173 0.603506 0.574715 0.546634 1.16422 1.10768 1.05645 1.00644 0.957631 0.912212 0.870179 0.827051 0.782827 0.742548 1.18083 1.20021 1.22109 1.24272 1.26508 1.28378 1.29883 1.3137 1.32841 1.3471 1.36635 1.36596 1.35846 0.001366 0.00141725 0.00147375 0.00153225 0.00159275 0.00166125 0.00173775 0.0018215 0.0019125 0.002009 0.0016385 0.00171125 0.00178975 0.001869 0.001949 0.002036 0.00213 0.0022205 0.0023075 0.002405 0.00150079 0.00158447 0.00174913 0.00194713 0.00217848 0.00243166 0.00270667 0.00301261 0.00334948 0.0039201 0.00480762 0.0058132 0.00668087
8 30.747 63.3 0.716 0.915000109 1.05031 1.02193 0.995669 0.971929 0.95071 0.931251 0.913552 0.895698 0.877688 0.868732 1.38312 1.37743 1.37411 1.37388 1.37671 1.37722 1.37539 1.37476 1.37531 1.37871 1.17746 1.1918 1.21138 1.23412 1.26001 1.28781 1.31752 1.34849 1.38073 1.43139 1.4926 1.5514 1.58703 0.0018015 0.0019695 0.0021545 0.00236075 0.00258825 0.0028435 0.0031265 0.00344125 0.00378775 0.004224 0.00225775 0.00252375 0.00282125 0.003163 0.003549 0.003974 0.004438 0.004967 0.005561 0.00625175 0.00157597 0.00165617 0.00184087 0.00208089 0.00237622 0.00272594 0.00313004 0.00359856 0.00413149 0.00509708 0.00666516 0.00870699 0.0105537
9 28.069 41.7 0.884 0.904999964 1.0329 0.997779 0.964651 0.933931 0.905616 0.878297 0.851974 0.831785 0.817731 0.799174 1.36706 1.347 1.3294 1.31049 1.29028 1.27409 1.2619 1.24937 1.23649 1.22144 1.18924 1.20515 1.22379 1.24655 1.27343 1.29931 1.32419 1.3507 1.37884 1.41448 1.46659 1.50719 1.52887 0.00171325 0.001856 0.002008 0.0021735 0.0023525 0.002548 0.00276 0.0030125 0.0033055 0.00360475 0.00214375 0.00236525 0.00260775 0.00286725 0.00314375 0.0034575 0.0038085 0.0041975 0.0046245 0.0050805 0.00151441 0.00160092 0.00178486 0.00202334 0.00231634 0.00265319 0.0030339 0.00346877 0.00395782 0.0047951 0.00618408 0.00788763 0.00941084
10 31.365 72.3 0.692 0.694999998 1.00218 0.964348 0.929916 0.897819 0.868056 0.840774 0.815973 0.79516 0.778338 0.760552 1.32694 1.30316 1.28071 1.25993 1.24083 1.22128 1.20128 1.18154 1.16206 1.14418 1.18346 1.20058 1.22235 1.24554 1.27018 1.29664 1.32492 1.35203 1.37795 1.41704 1.46283 1.48958 1.50471 0.00172425 0.00185375 0.00199525 0.00215025 0.00231875 0.0025075 0.0027165 0.0029605 0.0032395 0.00354 0.00215275 0.00235825 0.00258275 0.00283 0.0031 0.00339325 0.00370975 0.00406375 0.00445525 0.004892 0.00162287 0.0017057 0.00189339 0.0021317 0.00242065 0.00275872 0.00314592 0.00358375 0.00407223 0.00493759 0.0063239 0.00800652 0.00953556
11 29.305 97.5 0.732 0.605000126 0.915688 0.871781 0.832916 0.797759 0.76631 0.738013 0.712867 0.689244 0.667143 0.648419 1.20464 1.16136 1.12108 1.08362 1.04899 1.0168 0.987073 0.95813 0.929976 0.902373 1.18103 1.20273 1.22669 1.25103 1.27574 1.2975 1.31631 1.33263 1.34645 1.36392 1.38138 1.39214 1.39149 0.00149625 0.0015765 0.0016655 0.00176425 0.00187275 0.0019955 0.0021325 0.00228175 0.00244325 0.00263175 0.00185225 0.0019695 0.0020945 0.002231 0.002379 0.0025405 0.0027155 0.0029055 0.0031105 0.00333175 0.00161798 0.00170022 0.00187747 0.00209629 0.00235667 0.00264665 0.00296624 0.00331676 0.00369823 0.0043493 0.00536537 0.00659454 0.00764712
12 28.481 52.5 0.9 1.014999551 1.03239 1.00137 0.973458 0.9484 0.926198 0.906989 0.89077 0.876285 0.863532 0.850213 1.37116 1.3592 1.35076 1.34207 1.33313 1.32693 1.32346 1.31824 1.31127 1.30525 1.18414 1.19835 1.21653 1.24092 1.27152 1.30082 1.32883 1.35797 1.38824 1.42765 1.47468 1.51158 1.53544 0.001713 0.0018645 0.0020295 0.002213 0.002415 0.00264275 0.00289625 0.00318175 0.00349925 0.00384975 0.0021575 0.0023985 0.0026675 0.00296025 0.00327675 0.003636 0.004038 0.0044805 0.0049635 0.00550475 0.00150973 0.00159225 0.00177447 0.00201542 0.00231509 0.00265982 0.00304959 0.00349608 0.00399929 0.00486526 0.00625286 0.00796472 0.0095203
13 29.511 39.9 0.876 1.054999763 1.07197 1.04404 1.01881 0.996309 0.976542 0.95904 0.943802 0.929423 0.915905 0.903993 1.42109 1.41777 1.41702 1.41523 1.4124 1.41387 1.41964 1.42741 1.43717 1.44469 1.18235 1.19648 1.21556 1.2386 1.2656 1.29486 1.32636 1.35856 1.39147 1.43379 1.48958 1.55283 1.59833 0.00177375 0.00194225 0.00212675 0.00233175 0.00255725 0.0028125 0.0030975 0.00341225 0.00375675 0.00415125 0.0022535 0.00252575 0.00282925 0.00316375 0.00352925 0.0039485 0.0044215 0.0049655 0.0055805 0.0062645 0.00150118 0.00158289 0.00176618 0.00200519 0.00229991 0.00264822 0.0030501 0.00351119 0.00403149 0.00492971 0.00640366 0.00833495 0.0101125
14 34.455 110.1 0.924 0.944999979 0.990684 0.96004 0.933675 0.909954 0.888876 0.869645 0.852262 0.837569 0.825567 0.813187 1.32312 1.30955 1.29881 1.29046 1.28449 1.27727 1.26879 1.26178 1.25624 1.2509 1.18012 1.19925 1.22136 1.24733 1.27716 1.30684 1.33635 1.36462 1.39165 1.43209 1.47903 1.51424 1.53848 0.00164325 0.00178025 0.00193075 0.0020975 0.0022805 0.00248375 0.00270725 0.002963 0.003251 0.0035655 0.0020845 0.00230275 0.00254425 0.00281325 0.00310975 0.00343575 0.00379125 0.00418475 0.00461625 0.005109 0.00152831 0.00161865 0.00180814 0.00205033 0.00234523 0.00268458 0.00306838 0.00349876 0.00397571 0.00481281 0.00614197 0.0077635 0.00923608
15 34.043 50.7 0.644 0.81499989 1.10772 1.08116 1.05423 1.03135 1.01249 0.99311 0.973197 0.956625 0.943395 0.927993 1.46048 1.4625 1.46645 1.47171 1.47826 1.48303 1.48602 1.49102 1.49801 1.50417 1.17723 1.19001 1.20708 1.23 1.25877 1.28843 1.31899 1.35343 1.39175 1.44396 1.51065 1.57356 1.62141 0.0018765 0.0020575 0.0022545 0.00248025 0.00273475 0.00301875 0.00333225 0.00369475 0.00410625 0.00456275 0.00242925 0.00273325 0.00307575 0.00346925 0.00391375 0.004411 0.004961 0.00559725 0.00631975 0.0071395 0.00159872 0.00167436 0.00185024 0.00208632 0.00238259 0.00273397 0.00314044 0.00362322 0.0041823 0.00517889 0.00684787 0.00903062 0.0111141
16 26.215 102.9 0.78 0.844999979 0.897285 0.863974 0.836752 0.81252 0.791278 0.772002 0.754691 0.739764 0.727218 0.716435 1.16868 1.14156 1.11812 1.09904 1.08433 1.07096 1.05894 1.0473 1.03605 1.02734 1.17248 1.19135 1.21118 1.23338 1.25796 1.28122 1.30318 1.32165 1.33662 1.36185 1.39547 1.42031 1.43405 0.00152575 0.00163875 0.00176825 0.00191325 0.00207375 0.002254 0.002454 0.0026825 0.0029395 0.003235 0.00186625 0.0020285 0.0022095 0.002415 0.002645 0.0029025 0.0031875 0.00350575 0.00385725 0.00426 0.00160269 0.00168615 0.00186715 0.00209793 0.00237852 0.00269658 0.00305213 0.00344609 0.00387846 0.0046449 0.00588652 0.00742075 0.00880391
17 27.863 81.3 0.684 0.67499999 0.935704 0.895263 0.860392 0.828773 0.800406 0.77565 0.754507 0.733421 0.712393 0.696175 1.2255 1.19174 1.16223 1.13578 1.11239 1.08962 1.06747 1.04598 1.02517 1.00707 1.18134 1.19927 1.22091 1.24292 1.26529 1.28783 1.31055 1.33174 1.35141 1.38062 1.41 1.43289 1.44659 0.00161225 0.00171975 0.00184125 0.00197625 0.00212475 0.00229625 0.00249075 0.00270075 0.00292625 0.00320125 0.00198625 0.00214825 0.00232675 0.00252575 0.00274525 0.002988 0.003254 0.0035435 0.0038565 0.0042145 0.00165523 0.00173608 0.00192051 0.00215152 0.00242909 0.00274988 0.00311388 0.00352215 0.0039747 0.00477063 0.00602912 0.00759797 0.00900774
18 27.039 93.9 0.66 0.984999914 0.970407 0.940277 0.916194 0.894327 0.874673 0.857249 0.842055 0.827939 0.814902 0.805633 1.25397 1.24088 1.23479 1.23179 1.23187 1.23237 1.23328 1.23488 1.23716 1.24453 1.16826 1.18234 1.20118 1.22124 1.24253 1.26643 1.29295 1.32024 1.34829 1.39337 1.45146 1.50515 1.54492 0.001699 0.0018465 0.0020155 0.00220775 0.00242325 0.00266825 0.00294275 0.00325475 0.00360425 0.0040205 0.002089 0.00231675 0.00258025 0.002883 0.003225 0.00361275 0.00404625 0.00454375 0.00510525 0.00577975 0.00164354 0.00171613 0.00189519 0.0021259 0.00240827 0.00274519 0.00313668 0.0035893 0.00410304 0.00504336 0.00660103 0.00862816 0.0105479
19 33.013 101.1 0.852 1.065000245 1.0109 0.983213 0.960695 0.94098 0.924067 0.910037 0.898889 0.889082 0.880617 0.872387 1.33896 1.33317 1.33173 1.33277 1.33627 1.34146 1.34834 1.35429 1.35933 1.36636 1.17469 1.19232 1.21553 1.23968 1.26477 1.29331 1.3253 1.35645 1.38675 1.43162 1.48728 1.53358 1.5664 0.0017045 0.0018585 0.0020315 0.002225 0.002439 0.00268175 0.00295325 0.00326125 0.00360575 0.00398925 0.0021415 0.00238725 0.00266375 0.002978 0.00333 0.00372825 0.00417275 0.0046685 0.0052155 0.00585125 0.00154136 0.00162633 0.00181618 0.00205674 0.00234802 0.00269283 0.00309119 0.00354277 0.0040476 0.0049417 0.00638282 0.00817651 0.00982853
20 31.571 38.1 0.764 0.754999993 1.06613 1.03002 0.995255 0.961843 0.929783 0.901983 0.878441 0.854928 0.831441 0.81065 1.41838 1.4001 1.38116 1.36303 1.3457 1.32594 1.30374 1.28389 1.26639 1.24972 1.18682 1.20255 1.22339 1.24719 1.27395 1.30194 1.33117 1.36002 1.38849 1.43299 1.47737 1.51289 1.54189 0.00178275 0.00193025 0.00208875 0.00225825 0.00243875 0.002646 0.00288 0.0031335 0.0034065 0.00371575 0.00224775 0.0024825 0.0027355 0.003013 0.003315 0.00363675 0.00397825 0.00436325 0.00479175 0.0052745 0.00154537 0.00162957 0.00181523 0.00205415 0.00234631 0.00268768 0.00307825 0.00352279 0.0040213 0.00490967 0.00629291 0.00802616 0.00963066
21 30.953 70.5 0.652 1.075000262 1.07979 1.05635 1.03618 1.01648 0.997264 0.98051 0.966221 0.953969 0.943755 0.934708 1.40813 1.41366 1.42187 1.43279 1.44642 1.46281 1.48196 1.50244 1.52424 1.54021 1.17208 1.18334 1.19985 1.21947 1.24221 1.27062 1.3047 1.33874 1.37272 1.43056 1.51329 1.59533 1.64795 0.0018435 0.00203025 0.00224075 0.0024755 0.0027345 0.0030315 0.0033665 0.0037555 0.0041985 0.004707 0.002311 0.002612 0.002954 0.00335025 0.00380075 0.00433125 0.00494175 0.00565125 0.00645975 0.007366 0.00157791 0.00165038 0.0018247 0.00205369 0.00233734 0.00268595 0.00309952 0.00358004 0.00412751 0.00515112 0.00691187 0.00927138 0.0114633
22 34.661 68.7 0.844 0.934999645 1.06687 1.03851 1.01148 0.987597 0.966865 0.946295 0.92589 0.908161 0.893107 0.880923 1.4297 1.42739 1.42547 1.42306 1.42017 1.41847 1.41794 1.4175 1.41714 1.41942 1.18278 1.19952 1.22079 1.24606 1.27533 1.30691 1.34079 1.37515 1.40999 1.45533 1.51573 1.57412 1.61147 0.00178675 0.001952 0.00213 0.00232925 0.00254975 0.0027885 0.0030455 0.0033405 0.0036735 0.00405375 0.002277 0.00254925 0.00284775 0.0031785 0.0035415 0.0039485 0.0043995 0.00490375 0.00546125 0.006108 0.0015204 0.00160748 0.00179583 0.00204085 0.00234253 0.00269863 0.00310917 0.00357819 0.00410571 0.00502044 0.00652048 0.00843206 0.0101689
23 26.627 88.5 0.676 0.714999978 0.917462 0.880085 0.846724 0.818363 0.795001 0.77108 0.746599 0.727724 0.714455 0.700722 1.19218 1.16246 1.13701 1.11386 1.09299 1.07353 1.05547 1.04094 1.02995 1.01652 1.17842 1.19587 1.21499 1.23569 1.25798 1.27946 1.30013 1.32147 1.34349 1.36825 1.40349 1.43615 1.45078 0.001596 0.0017075 0.0018305 0.0019735 0.0021365 0.002312 0.0025 0.0027265 0.0029915 0.003284 0.00195025 0.002116 0.0023 0.00250575 0.00273325 0.0029865 0.0032655 0.0035875 0.0039525 0.004351 0.0016703 0.00174897 0.00192898 0.00215774 0.00243524 0.0027551 0.00311733 0.00352967 0.00399214 0.00478204 0.00609215 0.00774999 0.00922696
24 30.335 115.5 0.62 1.044999534 0.983645 0.955245 0.930963 0.909817 0.891806 0.875916 0.862147 0.850953 0.842334 0.833427 1.27088 1.26232 1.25959 1.25995 1.26339 1.26897 1.27669 1.28514 1.29431 1.3062 1.16722 1.17833 1.19408 1.21444 1.23939 1.26548 1.29268 1.32206 1.35361 1.40122 1.46516 1.52361 1.56756 0.00173225 0.00188725 0.00206175 0.0022635 0.0024925 0.0027555 0.0030525 0.00340225 0.00380475 0.00426 0.00213725 0.002381 0.002663 0.0029895 0.0033605 0.0037895 0.0042765 0.0048465 0.0054995 0.00626675 0.00166331 0.00172954 0.00190139 0.00213157 0.00242007 0.00276249 0.00315882 0.00362372 0.00415718 0.00512932 0.00676876 0.00893146 0.011014
25 28.893 119.1 0.988 0.735000253 0.893324 0.850249 0.813204 0.777651 0.743587 0.713735 0.688094 0.662889 0.638122 0.615241 1.16409 1.12337 1.08557 1.05027 1.01746 0.984557 0.951559 0.918478 0.885315 0.857534 1.1672 1.19021 1.21495 1.23837 1.26048 1.28235 1.30399 1.32167 1.3354 1.36004 1.38126 1.38652 1.39411 0.001372 0.0014425 0.0015215 0.00160475 0.00169225 0.0017925 0.0019055 0.00202525 0.00215175 0.002292 0.001667 0.00177 0.00188 0.001998 0.002124 0.00225525 0.00239175 0.00253375 0.00268125 0.00285525 0.00147622 0.00156739 0.00174143 0.00194738 0.00218523 0.00245292 0.00275044 0.00307164 0.00341653 0.00402487 0.00494414 0.00601287 0.00698649
26 30.129 83.1 0.748 0.645000084 0.956119 0.912382 0.87198 0.835878 0.804079 0.774989 0.74861 0.723229 0.698846 0.677756 1.26425 1.22461 1.18471 1.15009 1.12073 1.09182 1.06335 1.03554 1.00839 0.981991 1.18697 1.20731 1.22952 1.2527 1.27684 1.30032 1.32312 1.34275 1.35922 1.38538 1.41492 1.43767 1.44889 0.00159125 0.001687 0.001789 0.001904 0.002032 0.00217225 0.00232475 0.0024915 0.0026725 0.00288225 0.001971 0.00211525 0.00226575 0.00243475 0.00262225 0.002823 0.003037 0.00327 0.003522 0.003793 0.00160591 0.00169184 0.00187416 0.00210135 0.00237342 0.00268309 0.00303038 0.00341171 0.00382708 0.0045571 0.00570072 0.00710469 0.00834172
27 31.777 92.1 0.828 1.035000114 1.01234 0.985333 0.96149 0.941373 0.924983 0.907882 0.890072 0.877653 0.870626 0.864797 1.33774 1.33056 1.32889 1.32715 1.32533 1.33002 1.34121 1.34669 1.34646 1.34966 1.17491 1.19261 1.21443 1.23973 1.26851 1.29594 1.32202 1.35094 1.38271 1.42161 1.48654 1.54056 1.56074 0.00171425 0.00187 0.002042 0.00223675 0.00245425 0.00269 0.002944 0.00324775 0.00360125 0.00400275 0.00214975 0.00239575 0.00267525 0.00298425 0.00332275 0.0037235 0.0041865 0.00468525 0.00521975 0.0058395 0.00154936 0.00163473 0.00182285 0.00206668 0.00236623 0.00270941 0.00309621 0.00354575 0.00405802 0.00493282 0.00643339 0.00828926 0.00989812
28 35.485 57.9 0.916 1.084999917 1.09995 1.07566 1.05306 1.03345 1.01682 1.0037 0.994088 0.981833 0.966931 0.956302 1.47387 1.48086 1.48957 1.49826 1.50692 1.5175 1.53001 1.54223 1.55416 1.56691 1.17958 1.1961 1.21843 1.24398 1.27275 1.30495 1.34057 1.3773 1.41512 1.46627 1.5257 1.58946 1.63863 0.00180525 0.0019865 0.0021835 0.00240325 0.00264575 0.00292475 0.00324025 0.00357575 0.00393125 0.0043505 0.00230925 0.00261 0.002946 0.00332 0.003732 0.0042025 0.0047315 0.00532725 0.00598975 0.0067455 0.00147506 0.00155976 0.00174608 0.00198726 0.0022833 0.00263798 0.00305132 0.00352754 0.00406665 0.00500321 0.00650779 0.00846566 0.0102767
29 26.421 54.3 0.788 0.784999998 0.978739 0.939434 0.902539 0.870067 0.84202 0.81526 0.789786 0.76862 0.751763 0.733198 1.28854 1.25794 1.22844 1.2021 1.17891 1.15711 1.13672 1.11838 1.1021 1.08347 1.18666 1.20227 1.22238 1.2451 1.27042 1.29448 1.31726 1.33969 1.36178 1.39131 1.42977 1.46072 1.47799 0.00165525 0.00177625 0.00190475 0.00205 0.002212 0.0023905 0.0025855 0.00281 0.003064 0.003337 0.0020525 0.002235 0.002431 0.00264825 0.00288675 0.00315125 0.00344175 0.0037635 0.0041165 0.004499 0.00157324 0.00165785 0.00184464 0.00208265 0.00237189 0.00270195 0.00307282 0.00349044 0.00395481 0.00475916 0.0060703 0.00768447 0.00913155
30 29.717 32.7 0.708 0.634999908 1.04298 0.998871 0.956263 0.916092 0.878359 0.843323 0.810982 0.781669 0.755383 0.729026 1.37883 1.34638 1.31373 1.27917 1.24268 1.20612 1.16947 1.13735 1.10976 1.07884 1.18834 1.20439 1.22522 1.24777 1.27204 1.29707 1.32286 1.34873 1.37469 1.40614 1.43647 1.46244 1.48002 0.00173875 0.00185875 0.00198425 0.00212025 0.00226675 0.002427 0.002601 0.0027975 0.0030165 0.00324925 0.002167 0.002357 0.002557 0.00276725 0.00298775 0.00322075 0.00346625 0.00374125 0.00404575 0.00436325 0.00158059 0.00166113 0.00184234 0.0020718 0.00234949 0.00267342 0.0030436 0.00346154 0.00392725 0.00472746 0.0059784 0.00753397 0.00893714
31 34.867 61.5 0.628 0.794999967 1.10063 1.07335 1.04852 1.0241 1.0001 0.980454 0.96517 0.947649 0.92789 0.912034 1.45198 1.45294 1.45591 1.45964 1.46413 1.46897 1.47417 1.47923 1.48414 1.48845 1.17741 1.19193 1.2115 1.23327 1.25723 1.28611 1.31991 1.35426 1.38916 1.44532 1.51315 1.58082 1.63227 0.0018785 0.0020575 0.0022565 0.002478 0.002722 0.0030065 0.0033315 0.0036845 0.0040655 0.0045165 0.00236975 0.00266375 0.00299525 0.00337425 0.00380075 0.0042865 0.0048315 0.00544925 0.00613975 0.0069265 0.00159775 0.00167529 0.00185345 0.00208477 0.00236923 0.00271669 0.00312715 0.00360434 0.00414823 0.00515747 0.00682307 0.00902998 0.0111152
32 29.099 90.3 0.636 0.885000359 0.993097 0.962398 0.935508 0.91128 0.889714 0.869999 0.852136 0.839062 0.830774 0.820539 1.29573 1.28367 1.27576 1.268 1.2604 1.2556 1.25361 1.25428 1.25763 1.2637 1.17241 1.18458 1.20167 1.22349 1.25006 1.27739 1.30546 1.33445 1.36435 1.4045 1.45761 1.50447 1.54047 0.00174475 0.00189675 0.00206825 0.00226175 0.00247725 0.002723 0.002999 0.00332925 0.00371375 0.0041385 0.00216925 0.0024075 0.0026765 0.00297925 0.00331575 0.00370325 0.00414175 0.0046575 0.0052505 0.0059405 0.00165355 0.00172481 0.00190221 0.00213818 0.00243271 0.00277989 0.00317973 0.00364368 0.00417174 0.00510723 0.00667395 0.00870514 0.0106484
33 33.219 108.3 0.772 0.724999978 0.956354 0.92135 0.890873 0.860411 0.829965 0.805773 0.787837 0.769456 0.750632 0.735227 1.2713 1.2443 1.2217 1.20059 1.18099 1.16168 1.14266 1.12438 1.10684 1.09205 1.1781 1.19934 1.22369 1.25142 1.28252 1.30871 1.32998 1.35103 1.37188 1.4099 1.44618 1.46815 1.48542 0.00161275 0.00172975 0.00185925 0.00199575 0.00213925 0.00230975 0.00250725 0.0027205 0.0029495 0.00321875 0.00201525 0.0021925 0.0023895 0.002605 0.002839 0.00309375 0.00336925 0.003674 0.004008 0.00438625 0.00159408 0.0016845 0.00187421 0.00211569 0.00240894 0.00273363 0.00308974 0.00349064 0.00393631 0.00474327 0.00597919 0.00747564 0.00883957
34 27.245 48.9 0.956 0.744999875 0.975936 0.919364 0.866417 0.817485 0.77257 0.729435 0.68808 0.650834 0.617698 0.586692 1.29326 1.23653 1.17867 1.12317 1.07003 1.01645 0.96243 0.912074 0.865378 0.822492 1.20316 1.2205 1.24091 1.26113 1.28116 1.30286 1.32623 1.34565 1.36111 1.37995 1.39632 1.40117 1.40201 0.0015565 0.001634 0.001714 0.00179875 0.00188825 0.00197875 0.00207025 0.00217675 0.00229825 0.00242825 0.00192775 0.0020435 0.0021565 0.00227375 0.00239525 0.00251175 0.00262325 0.00274625 0.00288075 0.00302825 0.0015124 0.00160227 0.00178456 0.00200635 0.00226761 0.00256912 0.00291088 0.00328319 0.00368605 0.0043712 0.0054216 0.00667743 0.00779843
35 35.897 65.1 0.74 0.775000018 1.07392 1.04393 1.01656 0.989526 0.962825 0.938231 0.915744 0.894589 0.874769 0.857622 1.43712 1.42915 1.42216 1.41728 1.41451 1.40929 1.40163 1.39089 1.37706 1.36816 1.18194 1.19963 1.22355 1.24959 1.27776 1.30753 1.33891 1.3696 1.3996 1.45146 1.51685 1.56482 1.59558 0.00181925 0.001983 0.002163 0.002356 0.002562 0.00279325 0.00304975 0.003333 0.003643 0.0040005 0.0023115 0.0025755 0.0028665 0.0031945 0.0035595 0.00395625 0.00438475 0.0048515 0.0053565 0.00594625 0.00156083 0.00164763 0.00183921 0.00208442 0.00238327 0.0027346 0.00313841 0.00359838 0.00411452 0.00505785 0.00659095 0.00847501 0.0101951
36 35.279 74.1 0.724 0.655000038 1.04023 1.00123 0.964158 0.931051 0.901914 0.873386 0.845468 0.820295 0.797868 0.775029 1.39168 1.37099 1.34935 1.32595 1.3008 1.27668 1.25359 1.23115 1.20934 1.18524 1.18568 1.20479 1.22819 1.25246 1.27759 1.30638 1.33881 1.37014 1.40038 1.43363 1.47275 1.5086 1.52955 0.00175025 0.0018795 0.0020165 0.00216875 0.00233625 0.0025175 0.0027125 0.00292975 0.00316925 0.00343125 0.0022085 0.00242275 0.00265225 0.002895 0.003151 0.0034305 0.0037335 0.004068 0.004434 0.0048205 0.00158918 0.0016763 0.0018652 0.00210112 0.00238406 0.00272002 0.00310899 0.00354716 0.00403453 0.00484703 0.00614708 0.00776983 0.00922241
37 34.249 104.7 0.812 1.00499978 1.01263 0.986166 0.963744 0.942858 0.92351 0.90828 0.897169 0.888313 0.881711 0.872734 1.34606 1.33997 1.33827 1.33821 1.33977 1.34444 1.35224 1.35806 1.36189 1.36573 1.17381 1.19206 1.21559 1.24217 1.27182 1.30106 1.32992 1.35927 1.38914 1.43551 1.49397 1.53679 1.56514 0.0017235 0.00188125 0.00205575 0.002249 0.002461 0.0027045 0.0029795 0.0032975 0.0036585 0.00404825 0.00217125 0.00242075 0.00270225 0.003018 0.003368 0.00377175 0.00422925 0.004737 0.005295 0.005925 0.00155669 0.00164344 0.00183563 0.00208209 0.00238283 0.0027318 0.003129 0.00358217 0.00409132 0.00500189 0.00647835 0.0082945 0.0099594
38 28.687 113.7 0.836 0.924999856 0.918773 0.887821 0.862103 0.840172 0.822028 0.804911 0.788821 0.776059 0.766625 0.755581 1.20186 1.18047 1.16392 1.1498 1.1381 1.12859 1.12126 1.11707 1.11604 1.1128 1.17008 1.18949 1.2118 1.23611 1.26243 1.28665 1.30877 1.33007 1.35055 1.37678 1.41207 1.44775 1.47299 0.001546 0.0016675 0.0018045 0.0019595 0.0021325 0.0023235 0.0025325 0.0027755 0.0030525 0.00335575 0.00190325 0.00208225 0.00228275 0.00250775 0.00275725 0.003039 0.003353 0.003716 0.004128 0.00457775 0.00156896 0.00165452 0.00183913 0.00207312 0.0023565 0.00267725 0.00303538 0.003438 0.00388511 0.00465336 0.00589982 0.00748285 0.00893513
39 27.451 99.3 0.804 0.805 0.910763 0.874111 0.842871 0.816473 0.794917 0.775205 0.757338 0.739644 0.722121 0.708471 1.19223 1.16354 1.13759 1.11537 1.09686 1.08011 1.0651 1.04897 1.03172 1.01802 1.17603 1.19609 1.21951 1.24158 1.2623 1.28507 1.30991 1.33161 1.35018 1.37324 1.40007 1.42366 1.43698 0.0015355 0.00164375 0.00176525 0.0019035 0.0020585 0.002233 0.002427 0.00264025 0.00287275 0.00314375 0.00188675 0.00204725 0.00222175 0.00241925 0.00263975 0.00288425 0.00315275 0.00344625 0.00376475 0.0041285 0.00158798 0.00167566 0.00186276 0.00209193 0.00236316 0.00267984 0.00304197 0.00344182 0.0038794 0.00462662 0.00581799 0.00731384 0.00864988
40 33.837 36.3 0.868 0.764999889 1.0861 1.0482 1.01214 0.976858 0.942355 0.90838 0.874935 0.842208 0.8102 0.782814 1.45938 1.4372 1.41304 1.38729 1.35995 1.33158 1.30218 1.27095 1.23791 1.20365 1.19046 1.20829 1.23043 1.25619 1.28555 1.31499 1.34449 1.37175 1.39676 1.43227 1.47773 1.51904 1.53758 0.001768 0.00191075 0.00206225 0.002223 0.002393 0.0025715 0.0027585 0.00295875 0.00317225 0.00341825 0.00224375 0.00246925 0.00270975 0.002964 0.003232 0.003515 0.003813 0.004128 0.00446 0.004811 0.00149601 0.00158544 0.001771 0.00200992 0.00230218 0.00263958 0.00302212 0.00344957 0.00392195 0.00474526 0.0060635 0.00770556 0.00912415
41 32.807 117.3 0.668 0.825000153 0.960685 0.929625 0.902121 0.878224 0.857937 0.839758 0.823686 0.809112 0.796033 0.785657 1.26558 1.2502 1.23793 1.22717 1.21792 1.21067 1.20542 1.2013 1.19832 1.19791 1.1721 1.18911 1.21244 1.23738 1.26394 1.29085 1.31811 1.34545 1.37287 1.40885 1.45288 1.49529 1.52485 0.00169025 0.001828 0.00198 0.00215525 0.00235375 0.00257825 0.00282875 0.003117 0.003443 0.0038185 0.002105 0.00232225 0.00256475 0.002837 0.003139 0.0034835 0.0038705 0.00431175 0.00480725 0.00538375 0.00166202 0.00174118 0.00193054 0.00217195 0.00246541 0.00280912 0.00320308 0.0036523 0.0041568 0.00504203 0.00648949 0.00836735 0.010109
42 30.541 47.1 0.796 0.955000011 1.06639 1.03766 1.01262 0.988706 0.965923 0.94695 0.931787 0.917212 0.903225 0.888885 1.4125 1.40802 1.40725 1.40688 1.4069 1.40504 1.4013 1.40148 1.4056 1.41014 1.18002 1.19505 1.21616 1.23949 1.26503 1.29363 1.32528 1.35751 1.39032 1.44033 1.49406 1.54242 1.58681 0.001792 0.00196025 0.00214675 0.0023505 0.0025715 0.002825 0.003111 0.00343175 0.00378725 0.00417775 0.00227475 0.00254675 0.00285225 0.0031945 0.0035735 0.00398875 0.00444025 0.004962 0.005554 0.0062345 0.00153274 0.00161601 0.00180334 0.00204427 0.00233881 0.00268922 0.00309549 0.00356242 0.00409001 0.00503577 0.00653008 0.00843803 0.0102645
43 32.189 84.9 0.932 0.835000291 0.995785 0.958093 0.924415 0.893143 0.864275 0.838154 0.814777 0.79166 0.768803 0.746787 1.32468 1.29902 1.27789 1.25562 1.23222 1.20951 1.18749 1.16446 1.14043 1.11673 1.18852 1.20822 1.23244 1.25702 1.28196 1.30663 1.33105 1.35654 1.3831 1.41628 1.45056 1.47742 1.49563 0.00163075 0.001752 0.001884 0.002028 0.002184 0.00235525 0.00254175 0.0027455 0.0029665 0.00320675 0.00204125 0.00223 0.002438 0.002661 0.002899 0.00315475 0.00342825 0.00372425 0.00404275 0.00439 0.00151777 0.00161049 0.00180176 0.00203854 0.00232086 0.00264304 0.0030051 0.00341571 0.00387485 0.00466104 0.00588025 0.00737695 0.0087308
44 32.601 34.5 0.948 0.965000009 1.09462 1.06375 1.03432 1.00573 0.977984 0.952835 0.930285 0.908338 0.886993 0.867714 1.46065 1.45306 1.44753 1.43947 1.42887 1.4197 1.41194 1.40257 1.39158 1.37972 1.18784 1.20364 1.22371 1.24792 1.27627 1.30532 1.33505 1.36668 1.40022 1.44678 1.50436 1.55693 1.59031 0.001779 0.00194275 0.00211825 0.002307 0.002509 0.00273475 0.00298425 0.003257 0.003553 0.0038865 0.0022535 0.002518 0.002812 0.00312775 0.00346525 0.00384125 0.00425575 0.0047115 0.0052085 0.005751 0.00146867 0.00155384 0.00173641 0.00197448 0.00226806 0.00261054 0.00300192 0.00345359 0.00396553 0.00485784 0.00629849 0.00811763 0.00975208
45 33.425 106.5 0.892 0.684999897 0.976449 0.93286 0.892331 0.855684 0.822918 0.792691 0.765001 0.739283 0.715539 0.691747 1.29326 1.25859 1.22585 1.1914 1.15523 1.12247 1.09311 1.06187 1.02875 0.996137 1.18384 1.20432 1.22706 1.25091 1.27588 1.30069 1.32534 1.34997 1.3746 1.39842 1.42281 1.43707 1.44012 0.00154 0.001627 0.001719 0.0018205 0.0019315 0.0020525 0.0021835 0.00232825 0.00248675 0.00265425 0.00190825 0.002047 0.002195 0.0023465 0.0025015 0.00267175 0.00285725 0.0030465 0.0032395 0.00344575 0.00152873 0.00161739 0.00179422 0.00201024 0.00226544 0.00255341 0.00287415 0.00323274 0.00362919 0.00427432 0.00527185 0.00644644 0.00746019
46 25.803 45.3 0.82 0.66500009 0.96154 0.90709 0.855365 0.809034 0.768097 0.729528 0.693325 0.659993 0.62953 0.600347 1.26265 1.20932 1.15833 1.10654 1.05396 1.00435 0.957731 0.914714 0.875304 0.837836 1.19915 1.21598 1.2357 1.25551 1.27542 1.29492 1.31401 1.33409 1.35514 1.37012 1.37922 1.38834 1.3958 0.00156225 0.00163925 0.00171775 0.00180625 0.00190475 0.0020075 0.0021145 0.00223325 0.00236375 0.002506 0.0019185 0.00203675 0.00216025 0.002281 0.002399 0.00252425 0.00265675 0.00280175 0.00295925 0.00313075 0.00156087 0.00164604 0.00182556 0.00204639 0.00230852 0.00260565 0.00293777 0.00331349 0.00373282 0.00440617 0.00543518 0.00670119 0.0078516
47 29.923 77.7 0.94 0.625000083 1.01788 0.95503 0.894595 0.838108 0.78557 0.735579 0.688137 0.644446 0.604505 0.567963 1.33811 1.26851 1.19497 1.12898 1.07054 1.00563 0.93426 0.870479 0.814287 0.764954 1.20309 1.22108 1.23856 1.25735 1.27745 1.29683 1.3155 1.3286 1.33615 1.35567 1.36192 1.34871 1.34701 0.001804 0.0018585 0.0019135 0.00196975 0.00202725 0.00208475 0.00214225 0.002206 0.002276 0.00235325 0.006264 0.00648925 0.00668175 0.00689975 0.00714325 0.0073285 0.0074555 0.00760325 0.00777175 0.00799175 0.00385201 0.00403879 0.00441147 0.00485582 0.00537186 0.00595744 0.00661257 0.00730483 0.00803423 0.00933115 0.0112061 0.0133012 0.0152031
48 26.833 75.9 0.756 1.025000455 0.99508 0.966113 0.94071 0.918474 0.899405 0.8834 0.870459 0.856826 0.842501 0.831109 1.29794 1.28535 1.27528 1.2698 1.2689 1.26929 1.27096 1.27741 1.28867 1.29743 1.174 1.18734 1.20462 1.22622 1.25213 1.27839 1.30501 1.33093 1.35617 1.39711 1.44872 1.51071 1.56127 0.0017075 0.00185925 0.00202775 0.002218 0.00243 0.0026735 0.0029485 0.003252 0.003584 0.00397025 0.0021165 0.002347 0.002603 0.0029 0.003238 0.0036215 0.0040505 0.004552 0.005126 0.00577825 0.00158331 0.00165991 0.00184034 0.00207689 0.00236958 0.0027106 0.00309996 0.00354233 0.0040377 0.00493378 0.00639704 0.00835915 0.0102139
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<center>[2] <b>Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University</b></center>
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<center><h4>Nov 12, 2019</h4></center> <!-- date -->
<center><h4>Aug 19, 2020</h4></center> <!-- date -->
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<center style="font-size:80%">
<!-- copyright --> &copy; 1999-2019, Morten Hjorth-Jensen. Released under CC Attribution-NonCommercial 4.0 license
<!-- copyright --> &copy; 1999-2020, Morten Hjorth-Jensen. Released under CC Attribution-NonCommercial 4.0 license
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<!-- navigation toc: --> <li><a href="._Intro2Course-bs003.html#___sec2" style="font-size: 80%;">Course Format</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs004.html#___sec3" style="font-size: 80%;">Teachers and ComputerLab</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs004.html#___sec3" style="font-size: 80%;">Teachers</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs005.html#___sec4" style="font-size: 80%;">Deadlines for projects (tentative)</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs006.html#___sec5" style="font-size: 80%;">Learning outcomes</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs007.html#___sec6" style="font-size: 80%;">Topics covered in this course: Statistical analysis and optimization of data</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs008.html#___sec7" style="font-size: 80%;">Topics covered in this course: Machine Learning</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs009.html#___sec8" style="font-size: 80%;">Extremely useful tools, strongly recommended</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs010.html#___sec9" style="font-size: 80%;">Other courses on Data science and Machine Learning at UiO</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs006.html#___sec5" style="font-size: 80%;">Prerequisites</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs007.html#___sec6" style="font-size: 80%;">Learning outcomes</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs008.html#___sec7" style="font-size: 80%;">Topics covered in this course: Statistical analysis and optimization of data</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs009.html#___sec8" style="font-size: 80%;">Topics covered in this course: Machine Learning</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs010.html#___sec9" style="font-size: 80%;">Extremely useful tools, strongly recommended</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs011.html#___sec10" style="font-size: 80%;">Other courses on Data science and Machine Learning at UiO</a></li>
</ul>
</li>
@@ -118,10 +120,10 @@ end of tocinfo -->
<p> <!-- subsequent paragraphs come in larger fonts, so start with a paragraph -->
<ul>
<li> Thursday August 22: First lecture: Presentation of the course, aims and content</li>
<li> Thursday: Second Lecture: Start with simple linear regression and repetition of linear algebra</li>
<li> Friday August 23: Linear regression</li>
<li> Computer lab: Tuesday. First time: Tuesday August 27.</li>
<li> Thursday August 20: First lecture: Presentation of the course, aims and content</li>
<li> Thursday: Second Lecture: Start with simple linear regression and repetition of linear algebra and elements of statistics</li>
<li> Friday August 21: Linear regression</li>
<li> Computer lab: Wednesdays, 8am-6pm. First time: Wednesday August 26.</li>
</ul>
</div>
</div>
@@ -143,6 +145,8 @@ end of tocinfo -->
<li><a href="._Intro2Course-bs008.html">9</a></li>
<li><a href="._Intro2Course-bs009.html">10</a></li>
<li><a href="._Intro2Course-bs010.html">11</a></li>
<li><a href="">...</a></li>
<li><a href="._Intro2Course-bs011.html">12</a></li>
<li><a href="._Intro2Course-bs002.html">&raquo;</a></li>
</ul>
<!-- ------------------- end of main content --------------- -->
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<!-- navigation toc: --> <li><a href="._Intro2Course-bs001.html#___sec0" style="font-size: 80%;">Overview of first week</a></li>
<!-- navigation toc: --> <li><a href="#___sec1" style="font-size: 80%;">Lectures and ComputerLab</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs003.html#___sec2" style="font-size: 80%;">Course Format</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs004.html#___sec3" style="font-size: 80%;">Teachers and ComputerLab</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs004.html#___sec3" style="font-size: 80%;">Teachers</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs005.html#___sec4" style="font-size: 80%;">Deadlines for projects (tentative)</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs006.html#___sec5" style="font-size: 80%;">Learning outcomes</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs007.html#___sec6" style="font-size: 80%;">Topics covered in this course: Statistical analysis and optimization of data</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs008.html#___sec7" style="font-size: 80%;">Topics covered in this course: Machine Learning</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs009.html#___sec8" style="font-size: 80%;">Extremely useful tools, strongly recommended</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs010.html#___sec9" style="font-size: 80%;">Other courses on Data science and Machine Learning at UiO</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs006.html#___sec5" style="font-size: 80%;">Prerequisites</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs007.html#___sec6" style="font-size: 80%;">Learning outcomes</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs008.html#___sec7" style="font-size: 80%;">Topics covered in this course: Statistical analysis and optimization of data</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs009.html#___sec8" style="font-size: 80%;">Topics covered in this course: Machine Learning</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs010.html#___sec9" style="font-size: 80%;">Extremely useful tools, strongly recommended</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs011.html#___sec10" style="font-size: 80%;">Other courses on Data science and Machine Learning at UiO</a></li>
</ul>
</li>
@@ -118,12 +120,10 @@ end of tocinfo -->
<p> <!-- subsequent paragraphs come in larger fonts, so start with a paragraph -->
<ul>
<li> Lectures: Thursday (2.15pm-4pm, this may change) and Friday (12.15pm-2pm).</li>
<li> Weekly reading assignments needed to solve projects and exercises.</li>
<li> Lectures: Thursday (12.15pm-2pm and Friday (12.15pm-2pm). Due to the present COVID-19 situation all lectures will be online. They will be recorded and posted online at the official UiO <a href="https://www.uio.no/studier/emner/matnat/fys/FYS-STK4155/h20/index.html" target="_self">website</a>.</li>
<li> Weekly reading assignments and videos needed to solve projects and exercises.</li>
<li> Weekly exercises when not working on projects. You can hand in exercises if you want.</li>
<li> First hour of each lab session may be used to discuss technicalities, address questions etc linked with projects and exercises.</li>
<li> Detailed lecture notes, exercises, all programs presented, projects etc can be found at the homepage of the course.</li>
<li> Computerlab: Tuesday (8am-4pm), VB IT-auditorium 3. Depending on how many enlist we may extend the lab sessions</li>
<li> Weekly plans and all other information are on the official webpage.</li>
<li> No final exam, three projects that are graded and have to be approved.</li>
</ul>
@@ -147,6 +147,7 @@ end of tocinfo -->
<li><a href="._Intro2Course-bs008.html">9</a></li>
<li><a href="._Intro2Course-bs009.html">10</a></li>
<li><a href="._Intro2Course-bs010.html">11</a></li>
<li><a href="._Intro2Course-bs011.html">12</a></li>
<li><a href="._Intro2Course-bs003.html">&raquo;</a></li>
</ul>
<!-- ------------------- end of main content --------------- -->
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<!-- navigation toc: --> <li><a href="._Intro2Course-bs001.html#___sec0" style="font-size: 80%;">Overview of first week</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs002.html#___sec1" style="font-size: 80%;">Lectures and ComputerLab</a></li>
<!-- navigation toc: --> <li><a href="#___sec2" style="font-size: 80%;">Course Format</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs004.html#___sec3" style="font-size: 80%;">Teachers and ComputerLab</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs004.html#___sec3" style="font-size: 80%;">Teachers</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs005.html#___sec4" style="font-size: 80%;">Deadlines for projects (tentative)</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs006.html#___sec5" style="font-size: 80%;">Learning outcomes</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs007.html#___sec6" style="font-size: 80%;">Topics covered in this course: Statistical analysis and optimization of data</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs008.html#___sec7" style="font-size: 80%;">Topics covered in this course: Machine Learning</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs009.html#___sec8" style="font-size: 80%;">Extremely useful tools, strongly recommended</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs010.html#___sec9" style="font-size: 80%;">Other courses on Data science and Machine Learning at UiO</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs006.html#___sec5" style="font-size: 80%;">Prerequisites</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs007.html#___sec6" style="font-size: 80%;">Learning outcomes</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs008.html#___sec7" style="font-size: 80%;">Topics covered in this course: Statistical analysis and optimization of data</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs009.html#___sec8" style="font-size: 80%;">Topics covered in this course: Machine Learning</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs010.html#___sec9" style="font-size: 80%;">Extremely useful tools, strongly recommended</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs011.html#___sec10" style="font-size: 80%;">Other courses on Data science and Machine Learning at UiO</a></li>
</ul>
</li>
@@ -150,6 +152,7 @@ end of tocinfo -->
<li><a href="._Intro2Course-bs008.html">9</a></li>
<li><a href="._Intro2Course-bs009.html">10</a></li>
<li><a href="._Intro2Course-bs010.html">11</a></li>
<li><a href="._Intro2Course-bs011.html">12</a></li>
<li><a href="._Intro2Course-bs004.html">&raquo;</a></li>
</ul>
<!-- ------------------- end of main content --------------- -->
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<!-- navigation toc: --> <li><a href="._Intro2Course-bs001.html#___sec0" style="font-size: 80%;">Overview of first week</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs002.html#___sec1" style="font-size: 80%;">Lectures and ComputerLab</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs003.html#___sec2" style="font-size: 80%;">Course Format</a></li>
<!-- navigation toc: --> <li><a href="#___sec3" style="font-size: 80%;">Teachers and ComputerLab</a></li>
<!-- navigation toc: --> <li><a href="#___sec3" style="font-size: 80%;">Teachers</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs005.html#___sec4" style="font-size: 80%;">Deadlines for projects (tentative)</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs006.html#___sec5" style="font-size: 80%;">Learning outcomes</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs007.html#___sec6" style="font-size: 80%;">Topics covered in this course: Statistical analysis and optimization of data</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs008.html#___sec7" style="font-size: 80%;">Topics covered in this course: Machine Learning</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs009.html#___sec8" style="font-size: 80%;">Extremely useful tools, strongly recommended</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs010.html#___sec9" style="font-size: 80%;">Other courses on Data science and Machine Learning at UiO</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs006.html#___sec5" style="font-size: 80%;">Prerequisites</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs007.html#___sec6" style="font-size: 80%;">Learning outcomes</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs008.html#___sec7" style="font-size: 80%;">Topics covered in this course: Statistical analysis and optimization of data</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs009.html#___sec8" style="font-size: 80%;">Topics covered in this course: Machine Learning</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs010.html#___sec9" style="font-size: 80%;">Extremely useful tools, strongly recommended</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs011.html#___sec10" style="font-size: 80%;">Other courses on Data science and Machine Learning at UiO</a></li>
</ul>
</li>
@@ -110,7 +112,7 @@ end of tocinfo -->
<a name="part0004"></a>
<!-- !split -->
<h2 id="___sec3" class="anchor">Teachers and ComputerLab </h2>
<h2 id="___sec3" class="anchor">Teachers </h2>
<p>
<div class="panel panel-default">
@@ -120,31 +122,26 @@ end of tocinfo -->
<p>
<b>Teachers :</b>
<ol>
<li> <a href="https://www.researchgate.net/profile/Hanna_Svennevik" target="_self">Hanna Svennevik</a></li>
<li> <a href="http://mhjgit.github.io/info/doc/web/" target="_self">Morten Hjorth-Jensen</a></li>
<li> <a href="https://no.linkedin.com/in/lucas-charpentier-176206171" target="_self">Lucas Charpentier</a></li>
<li> <a href="https://www.researchgate.net/profile/Stian_Bilek" target="_self">Stian Bilek</a></li>
<li> <a href="https://github.com/Schoyen" target="_self">&#216;yvind Sigmundson Sch&#248;yen</a></li>
</ol>
<ul>
<li> Morten Hjorth-Jensen, morten.hjorth-jensen@fys.uio.no</li>
<ul>
<li> <b>Phone</b>: +47-48257387</li>
<li> <b>Office</b>: Department of Physics, University of Oslo, Eastern wing, room F&#216;470</li>
<li> <b>Office hours</b>: <em>Anytime</em>! In Fall Semester 2020 (FS20), as a rule of thumb office hours are planned via computer or telephone. Individual or group office hours will be performed via zoom. Feel free to send an email for planning. In person meetings may also be possible if allowed by the University of Oslo's COVID-19 instructions.</li>
</ul>
<div class="row">
<div class="col-xs-3">
<table class="table table-striped table-hover table-condensed">
<thead>
<tr><td align="center"><b> day </b></td> <td align="center"><b> Time </b></td> </tr>
</thead>
<tbody>
<tr><td align="center"> Group 1: Tuesday </td> <td align="center"> 8am-10am </td> </tr>
<tr><td align="center"> Group 2: Tuesday </td> <td align="center"> 10am-12pm </td> </tr>
<tr><td align="center"> Group 3: Tuesday </td> <td align="center"> 12pm-2pm </td> </tr>
<tr><td align="center"> Group 4: Tuesday </td> <td align="center"> 2pm-4pm </td> </tr>
</tbody>
</table>
</div> <!-- col-xs-3 -->
</div> <!-- cell row -->
<p>
<li> &#216;yvind Sigmundson Sch&#248;yen, oyvinssc@student.matnat.uio.no</li>
<ul>
<li> <b>Office</b>: Department of Physics, University of Oslo, Eastern wing, room F&#216;452</li>
</ul>
<li> Michael Bitney, m.s.bitney@fys.uio.no</li>
<li> Kristian Wold, kriswold@student.matnat.uio.no</li>
<li> Nicolai Haug, nicoha@student.matnat.uio.no</li>
<li> Per-Dimitri S&#248;nsteland, perdimitri.bs@gmail.com</li>
</ul>
</div>
</div>
@@ -165,6 +162,7 @@ end of tocinfo -->
<li><a href="._Intro2Course-bs008.html">9</a></li>
<li><a href="._Intro2Course-bs009.html">10</a></li>
<li><a href="._Intro2Course-bs010.html">11</a></li>
<li><a href="._Intro2Course-bs011.html">12</a></li>
<li><a href="._Intro2Course-bs005.html">&raquo;</a></li>
</ul>
<!-- ------------------- end of main content --------------- -->
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<!-- navigation toc: --> <li><a href="._Intro2Course-bs001.html#___sec0" style="font-size: 80%;">Overview of first week</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs002.html#___sec1" style="font-size: 80%;">Lectures and ComputerLab</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs003.html#___sec2" style="font-size: 80%;">Course Format</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs004.html#___sec3" style="font-size: 80%;">Teachers and ComputerLab</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs004.html#___sec3" style="font-size: 80%;">Teachers</a></li>
<!-- navigation toc: --> <li><a href="#___sec4" style="font-size: 80%;">Deadlines for projects (tentative)</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs006.html#___sec5" style="font-size: 80%;">Learning outcomes</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs007.html#___sec6" style="font-size: 80%;">Topics covered in this course: Statistical analysis and optimization of data</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs008.html#___sec7" style="font-size: 80%;">Topics covered in this course: Machine Learning</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs009.html#___sec8" style="font-size: 80%;">Extremely useful tools, strongly recommended</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs010.html#___sec9" style="font-size: 80%;">Other courses on Data science and Machine Learning at UiO</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs006.html#___sec5" style="font-size: 80%;">Prerequisites</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs007.html#___sec6" style="font-size: 80%;">Learning outcomes</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs008.html#___sec7" style="font-size: 80%;">Topics covered in this course: Statistical analysis and optimization of data</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs009.html#___sec8" style="font-size: 80%;">Topics covered in this course: Machine Learning</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs010.html#___sec9" style="font-size: 80%;">Extremely useful tools, strongly recommended</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs011.html#___sec10" style="font-size: 80%;">Other courses on Data science and Machine Learning at UiO</a></li>
</ul>
</li>
@@ -118,12 +120,12 @@ end of tocinfo -->
<p> <!-- subsequent paragraphs come in larger fonts, so start with a paragraph -->
<ol>
<li> Project 1: September 30 (graded with feedback)</li>
<li> Project 2: November 13 (graded with feedback)</li>
<li> Project 3: December 15 (graded with feedback)</li>
<li> Project 1: September 28 (graded with feedback)</li>
<li> Project 2: November 2 (graded with feedback)</li>
<li> Project 3: December 7 (graded with feedback)</li>
</ol>
Projects are handed in using devilry.ifi.uio.no. We use Github as repository for codes, benchmark calculations etc. Comments and feedback on projects only via devilry.
Projects are handed in using <b>Canvas</b>. We use Github as repository for codes, benchmark calculations etc. Comments and feedback on projects only via <b>Canvas</b>.
<p>
</div>
@@ -146,6 +148,7 @@ Projects are handed in using devilry.ifi.uio.no. We use Github as repository for
<li><a href="._Intro2Course-bs008.html">9</a></li>
<li><a href="._Intro2Course-bs009.html">10</a></li>
<li><a href="._Intro2Course-bs010.html">11</a></li>
<li><a href="._Intro2Course-bs011.html">12</a></li>
<li><a href="._Intro2Course-bs006.html">&raquo;</a></li>
</ul>
<!-- ------------------- end of main content --------------- -->
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<!-- navigation toc: --> <li><a href="._Intro2Course-bs001.html#___sec0" style="font-size: 80%;">Overview of first week</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs002.html#___sec1" style="font-size: 80%;">Lectures and ComputerLab</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs003.html#___sec2" style="font-size: 80%;">Course Format</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs004.html#___sec3" style="font-size: 80%;">Teachers and ComputerLab</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs004.html#___sec3" style="font-size: 80%;">Teachers</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs005.html#___sec4" style="font-size: 80%;">Deadlines for projects (tentative)</a></li>
<!-- navigation toc: --> <li><a href="#___sec5" style="font-size: 80%;">Learning outcomes</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs007.html#___sec6" style="font-size: 80%;">Topics covered in this course: Statistical analysis and optimization of data</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs008.html#___sec7" style="font-size: 80%;">Topics covered in this course: Machine Learning</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs009.html#___sec8" style="font-size: 80%;">Extremely useful tools, strongly recommended</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs010.html#___sec9" style="font-size: 80%;">Other courses on Data science and Machine Learning at UiO</a></li>
<!-- navigation toc: --> <li><a href="#___sec5" style="font-size: 80%;">Prerequisites</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs007.html#___sec6" style="font-size: 80%;">Learning outcomes</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs008.html#___sec7" style="font-size: 80%;">Topics covered in this course: Statistical analysis and optimization of data</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs009.html#___sec8" style="font-size: 80%;">Topics covered in this course: Machine Learning</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs010.html#___sec9" style="font-size: 80%;">Extremely useful tools, strongly recommended</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs011.html#___sec10" style="font-size: 80%;">Other courses on Data science and Machine Learning at UiO</a></li>
</ul>
</li>
@@ -110,28 +112,18 @@ end of tocinfo -->
<a name="part0006"></a>
<!-- !split -->
<h2 id="___sec5" class="anchor">Learning outcomes </h2>
<h2 id="___sec5" class="anchor">Prerequisites </h2>
<p>
<div class="panel panel-default">
<div class="panel-body">
<p> <!-- subsequent paragraphs come in larger fonts, so start with a paragraph -->
<ul>
<li> Learn about basic data analysis, statistical analysis, Bayesian statistics, Monte Carlo sampling, data optimization and machine learning</li>
<li> Be capable of extending the acquired knowledge to other systems and cases</li>
<li> Have an understanding of central algorithms used in data analysis and machine learning</li>
<li> Gain knowledge of central aspects of Monte Carlo methods, Markov chains, Gibbs samplers and their possible applications</li>
<li> Understand linear methods for regression and classification, from ordinary least squares, via Lasso and Ridge to Logistic regression</li>
<li> Learn about various neural networks and deep learning methods for supervised and unsupervised learning</li>
<li> Learn about about decision trees and random forests</li>
<li> Learn about support vector machines and kernel transformations</li>
<li> Reduction of data sets, from PCA to clustering, supervised and unsupervided methods</li>
<li> Work on numerical projects to illustrate the theory. The projects play a central role and you are expected to know modern programming languages like Python or C++</li>
</ul>
</div>
</div>
Basic knowledge in programming and mathematics, with an emphasis on
linear algebra. Knowledge of Python or/and C++ as programming
languages is strongly recommended and experience with Jupiter notebook
is recommended. Required courses are the equivalents to the University
of Oslo mathematics courses MAT1100, MAT1110, MAT1120 and at least one
of the corresponding computing and programming courses INF1000/INF1110
or MAT-INF1100/MAT-INF1100L/BIOS1100/KJM-INF1100. Most universities
offer nowadays a basic programming course (often compulsory) where
Python is the recurring programming language.
<p>
<p>
@@ -149,6 +141,7 @@ end of tocinfo -->
<li><a href="._Intro2Course-bs008.html">9</a></li>
<li><a href="._Intro2Course-bs009.html">10</a></li>
<li><a href="._Intro2Course-bs010.html">11</a></li>
<li><a href="._Intro2Course-bs011.html">12</a></li>
<li><a href="._Intro2Course-bs007.html">&raquo;</a></li>
</ul>
<!-- ------------------- end of main content --------------- -->
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<!-- navigation toc: --> <li><a href="._Intro2Course-bs001.html#___sec0" style="font-size: 80%;">Overview of first week</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs002.html#___sec1" style="font-size: 80%;">Lectures and ComputerLab</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs003.html#___sec2" style="font-size: 80%;">Course Format</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs004.html#___sec3" style="font-size: 80%;">Teachers and ComputerLab</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs004.html#___sec3" style="font-size: 80%;">Teachers</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs005.html#___sec4" style="font-size: 80%;">Deadlines for projects (tentative)</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs006.html#___sec5" style="font-size: 80%;">Learning outcomes</a></li>
<!-- navigation toc: --> <li><a href="#___sec6" style="font-size: 80%;">Topics covered in this course: Statistical analysis and optimization of data</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs008.html#___sec7" style="font-size: 80%;">Topics covered in this course: Machine Learning</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs009.html#___sec8" style="font-size: 80%;">Extremely useful tools, strongly recommended</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs010.html#___sec9" style="font-size: 80%;">Other courses on Data science and Machine Learning at UiO</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs006.html#___sec5" style="font-size: 80%;">Prerequisites</a></li>
<!-- navigation toc: --> <li><a href="#___sec6" style="font-size: 80%;">Learning outcomes</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs008.html#___sec7" style="font-size: 80%;">Topics covered in this course: Statistical analysis and optimization of data</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs009.html#___sec8" style="font-size: 80%;">Topics covered in this course: Machine Learning</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs010.html#___sec9" style="font-size: 80%;">Extremely useful tools, strongly recommended</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs011.html#___sec10" style="font-size: 80%;">Other courses on Data science and Machine Learning at UiO</a></li>
</ul>
</li>
@@ -110,22 +112,27 @@ end of tocinfo -->
<a name="part0007"></a>
<!-- !split -->
<h2 id="___sec6" class="anchor">Topics covered in this course: Statistical analysis and optimization of data </h2>
<h2 id="___sec6" class="anchor">Learning outcomes </h2>
<p>
<div class="panel panel-default">
<div class="panel-body">
<p> <!-- subsequent paragraphs come in larger fonts, so start with a paragraph -->
<p>
This course aims at giving you insights and knowledge about many of the central algorithms used in Data Analysis and Machine Learning. The course is project based and through various numerical projects, normally three, you will be exposed to fundamental research problems in these fields, with the aim to reproduce state of the art scientific results. Both supervised and unsupervised methods will be covered. The emphasis is on a frequentist approach, although we will try to link it with a Bayesian approach as well. You will learn to develop and structure large codes for studying different cases where Machine Learning is applied to, get acquainted with computing facilities and learn to handle large scientific projects. A good scientific and ethical conduct is emphasized throughout the course. More specifically, after this course you will
<ul>
<li> Basic concepts, expectation values, variance, covariance, correlation functions and errors</li>
<li> Simpler models, binomial distribution, the Poisson distribution, simple and multivariate normal distributions</li>
<li> Central elements of Bayesian statistics and modeling</li>
<li> Gradient methods for data optimization</li>
<li> Monte Carlo methods, Markov chains, Metropolis-Hastings algorithm</li>
<li> Linear methods for regression and classification</li>
<li> Estimation of errors using cross-validation, blocking, bootstrapping and jackknife methods</li>
<li> Practical optimization using Singular-value decomposition and least squares for parameterizing data</li>
<li> Learn about basic data analysis, statistical analysis, Bayesian statistics, Monte Carlo sampling, data optimization and machine learning;</li>
<li> Be capable of extending the acquired knowledge to other systems and cases;</li>
<li> Have an understanding of central algorithms used in data analysis and machine learning;</li>
<li> Understand linear methods for regression and classification, from ordinary least squares, via Lasso and Ridge to Logistic regression;</li>
<li> Learn about neural networks and deep learning methods for supervised and unsupervised learning. Emphasis on feed forward neural networks, convolutional and recurrent neural networks;</li>
<li> Learn about about decision trees, random forests, bagging and boosting methods;</li>
<li> Learn about support vector machines and kernel transformations;</li>
<li> Reduction of data sets, from PCA to clustering;</li>
<li> Autoencoders and Reinforcement Learning;</li>
<li> Work on numerical projects to illustrate the theory. The projects play a central role and you are expected to know modern programming languages like Python or C++ and/or Fortran (Fortran2003 or later).</li>
</ul>
</div>
</div>
@@ -147,6 +154,7 @@ end of tocinfo -->
<li><a href="._Intro2Course-bs008.html">9</a></li>
<li><a href="._Intro2Course-bs009.html">10</a></li>
<li><a href="._Intro2Course-bs010.html">11</a></li>
<li><a href="._Intro2Course-bs011.html">12</a></li>
<li><a href="._Intro2Course-bs008.html">&raquo;</a></li>
</ul>
<!-- ------------------- end of main content --------------- -->
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('Teachers', 2, None, '___sec3'),
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<body>
@@ -88,13 +89,14 @@ end of tocinfo -->
<!-- navigation toc: --> <li><a href="._Intro2Course-bs001.html#___sec0" style="font-size: 80%;">Overview of first week</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs002.html#___sec1" style="font-size: 80%;">Lectures and ComputerLab</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs003.html#___sec2" style="font-size: 80%;">Course Format</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs004.html#___sec3" style="font-size: 80%;">Teachers and ComputerLab</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs004.html#___sec3" style="font-size: 80%;">Teachers</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs005.html#___sec4" style="font-size: 80%;">Deadlines for projects (tentative)</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs006.html#___sec5" style="font-size: 80%;">Learning outcomes</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs007.html#___sec6" style="font-size: 80%;">Topics covered in this course: Statistical analysis and optimization of data</a></li>
<!-- navigation toc: --> <li><a href="#___sec7" style="font-size: 80%;">Topics covered in this course: Machine Learning</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs009.html#___sec8" style="font-size: 80%;">Extremely useful tools, strongly recommended</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs010.html#___sec9" style="font-size: 80%;">Other courses on Data science and Machine Learning at UiO</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs006.html#___sec5" style="font-size: 80%;">Prerequisites</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs007.html#___sec6" style="font-size: 80%;">Learning outcomes</a></li>
<!-- navigation toc: --> <li><a href="#___sec7" style="font-size: 80%;">Topics covered in this course: Statistical analysis and optimization of data</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs009.html#___sec8" style="font-size: 80%;">Topics covered in this course: Machine Learning</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs010.html#___sec9" style="font-size: 80%;">Extremely useful tools, strongly recommended</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs011.html#___sec10" style="font-size: 80%;">Other courses on Data science and Machine Learning at UiO</a></li>
</ul>
</li>
@@ -110,22 +112,34 @@ end of tocinfo -->
<a name="part0008"></a>
<!-- !split -->
<h2 id="___sec7" class="anchor">Topics covered in this course: Machine Learning </h2>
<h2 id="___sec7" class="anchor">Topics covered in this course: Statistical analysis and optimization of data </h2>
<p>
The course has two central parts
<ol>
<li> Statistical analysis and optimization of data</li>
<li> Machine learning</li>
</ol>
These topics will be scattered thorughout the course and may not necessarily be taught separately. Rather, we will often take an approach (during the lectures and project/exercise sessions) where say elements from statistical data analysis are mixed with specific Machine Learning algorithms
<p>
<div class="panel panel-default">
<div class="panel-body">
<p> <!-- subsequent paragraphs come in larger fonts, so start with a paragraph -->
<p>
The following topics will be covered
<ul>
<li> Linear Regression and Logistic Regression</li>
<li> Neural networks and deep learning</li>
<li> Decisions trees and nearest neighbor algorithms</li>
<li> Support vector machines</li>
<li> Bayesian Neural Networks</li>
<li> Boltzmann Machines</li>
<li> Dimensionality reduction, from PCA to cluster models</li>
<li> Basic concepts, expectation values, variance, covariance, correlation functions and errors;</li>
<li> Simpler models, binomial distribution, the Poisson distribution, simple and multivariate normal distributions;</li>
<li> Central elements of Bayesian statistics and modeling;</li>
<li> Gradient methods for data optimization,</li>
<li> Monte Carlo methods, Markov chains, Gibbs sampling and Metropolis-Hastings sampling;</li>
<li> Estimation of errors and resampling techniques such as the cross-validation, blocking, bootstrapping and jackknife methods;</li>
<li> Principal Component Analysis (PCA) and its mathematical foundation</li>
</ul>
</div>
</div>
@@ -147,6 +161,7 @@ The following topics will be covered
<li class="active"><a href="._Intro2Course-bs008.html">9</a></li>
<li><a href="._Intro2Course-bs009.html">10</a></li>
<li><a href="._Intro2Course-bs010.html">11</a></li>
<li><a href="._Intro2Course-bs011.html">12</a></li>
<li><a href="._Intro2Course-bs009.html">&raquo;</a></li>
</ul>
<!-- ------------------- end of main content --------------- -->
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@@ -88,13 +89,14 @@ end of tocinfo -->
<!-- navigation toc: --> <li><a href="._Intro2Course-bs001.html#___sec0" style="font-size: 80%;">Overview of first week</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs002.html#___sec1" style="font-size: 80%;">Lectures and ComputerLab</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs003.html#___sec2" style="font-size: 80%;">Course Format</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs004.html#___sec3" style="font-size: 80%;">Teachers and ComputerLab</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs004.html#___sec3" style="font-size: 80%;">Teachers</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs005.html#___sec4" style="font-size: 80%;">Deadlines for projects (tentative)</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs006.html#___sec5" style="font-size: 80%;">Learning outcomes</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs007.html#___sec6" style="font-size: 80%;">Topics covered in this course: Statistical analysis and optimization of data</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs008.html#___sec7" style="font-size: 80%;">Topics covered in this course: Machine Learning</a></li>
<!-- navigation toc: --> <li><a href="#___sec8" style="font-size: 80%;">Extremely useful tools, strongly recommended</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs010.html#___sec9" style="font-size: 80%;">Other courses on Data science and Machine Learning at UiO</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs006.html#___sec5" style="font-size: 80%;">Prerequisites</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs007.html#___sec6" style="font-size: 80%;">Learning outcomes</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs008.html#___sec7" style="font-size: 80%;">Topics covered in this course: Statistical analysis and optimization of data</a></li>
<!-- navigation toc: --> <li><a href="#___sec8" style="font-size: 80%;">Topics covered in this course: Machine Learning</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs010.html#___sec9" style="font-size: 80%;">Extremely useful tools, strongly recommended</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs011.html#___sec10" style="font-size: 80%;">Other courses on Data science and Machine Learning at UiO</a></li>
</ul>
</li>
@@ -110,18 +112,27 @@ end of tocinfo -->
<a name="part0009"></a>
<!-- !split -->
<h2 id="___sec8" class="anchor">Extremely useful tools, strongly recommended </h2>
<h2 id="___sec8" class="anchor">Topics covered in this course: Machine Learning </h2>
<p>
<div class="panel panel-default">
<div class="panel-body">
<p> <!-- subsequent paragraphs come in larger fonts, so start with a paragraph -->
The following topics will be covered
<ul>
<li> GIT for version control, highly recommended</li>
<li> Devilry for handing in projects, next week</li>
<li> Anaconda and other Python environments, see intro slides</li>
<li> Linear Regression and Logistic Regression;</li>
<li> Neural networks and deep learning, including convolutional and recurrent neural networks</li>
<li> Decisions trees, Random Forests, Bagging and Boosting</li>
<li> Support vector machines</li>
<li> Bayesian linear and logistic regression</li>
<li> Boltzmann Machines</li>
<li> Unsupervised learning Dimensionality reduction, from PCA to cluster models</li>
</ul>
Hands-on demonstrations, exercises and projects aim at deepening your understanding of these topics.
<p>
</div>
</div>
@@ -142,6 +153,7 @@ end of tocinfo -->
<li><a href="._Intro2Course-bs008.html">9</a></li>
<li class="active"><a href="._Intro2Course-bs009.html">10</a></li>
<li><a href="._Intro2Course-bs010.html">11</a></li>
<li><a href="._Intro2Course-bs011.html">12</a></li>
<li><a href="._Intro2Course-bs010.html">&raquo;</a></li>
</ul>
<!-- ------------------- end of main content --------------- -->
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@@ -88,13 +89,14 @@ end of tocinfo -->
<!-- navigation toc: --> <li><a href="._Intro2Course-bs001.html#___sec0" style="font-size: 80%;">Overview of first week</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs002.html#___sec1" style="font-size: 80%;">Lectures and ComputerLab</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs003.html#___sec2" style="font-size: 80%;">Course Format</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs004.html#___sec3" style="font-size: 80%;">Teachers and ComputerLab</a></li>
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<!-- navigation toc: --> <li><a href="._Intro2Course-bs006.html#___sec5" style="font-size: 80%;">Learning outcomes</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs007.html#___sec6" style="font-size: 80%;">Topics covered in this course: Statistical analysis and optimization of data</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs008.html#___sec7" style="font-size: 80%;">Topics covered in this course: Machine Learning</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs009.html#___sec8" style="font-size: 80%;">Extremely useful tools, strongly recommended</a></li>
<!-- navigation toc: --> <li><a href="#___sec9" style="font-size: 80%;">Other courses on Data science and Machine Learning at UiO</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs006.html#___sec5" style="font-size: 80%;">Prerequisites</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs007.html#___sec6" style="font-size: 80%;">Learning outcomes</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs008.html#___sec7" style="font-size: 80%;">Topics covered in this course: Statistical analysis and optimization of data</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs009.html#___sec8" style="font-size: 80%;">Topics covered in this course: Machine Learning</a></li>
<!-- navigation toc: --> <li><a href="#___sec9" style="font-size: 80%;">Extremely useful tools, strongly recommended</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs011.html#___sec10" style="font-size: 80%;">Other courses on Data science and Machine Learning at UiO</a></li>
</ul>
</li>
@@ -110,26 +112,22 @@ end of tocinfo -->
<a name="part0010"></a>
<!-- !split -->
<h2 id="___sec9" class="anchor">Other courses on Data science and Machine Learning at UiO </h2>
<h2 id="___sec9" class="anchor">Extremely useful tools, strongly recommended </h2>
<p>
The link here <a href="https://www.mn.uio.no/english/research/about/centre-focus/innovation/data-science/studies/" target="_self"><tt>https://www.mn.uio.no/english/research/about/centre-focus/innovation/data-science/studies/</tt></a> gives an excellent overview of courses on Machine learning at UiO.
<div class="panel panel-default">
<div class="panel-body">
<p> <!-- subsequent paragraphs come in larger fonts, so start with a paragraph -->
<ol>
<li> <a href="http://www.uio.no/studier/emner/matnat/math/STK2100/index-eng.html" target="_self">STK2100 Machine learning and statistical methods for prediction and classification</a>.</li>
<li> <a href="https://www.uio.no/studier/emner/matnat/ifi/IN3050/index-eng.html" target="_self">IN3050 Introduction to Artificial Intelligence and Machine Learning</a>. Introductory course in machine learning and AI with an algorithmic approach.</li>
<li> <a href="http://www.uio.no/studier/emner/matnat/math/STK-INF3000/index-eng.html" target="_self">STK-INF3000/4000 Selected Topics in Data Science</a>. The course provides insight into selected contemporary relevant topics within Data Science.</li>
<li> <a href="https://www.uio.no/studier/emner/matnat/ifi/IN4080/index.html" target="_self">IN4080 Natural Language Processing</a>. Probabilistic and machine learning techniques applied to natural language processing.</li>
<li> <a href="https://www.uio.no/studier/emner/matnat/math/STK-IN4300/index-eng.html" target="_self">STK-IN4300 Statistical learning methods in Data Science</a>. An advanced introduction to statistical and machine learning. For students with a good mathematics and statistics background.</li>
<li> <a href="http://www.uio.no/studier/emner/matnat/ifi/INF4490/" target="_self">INF4490 Biologically Inspired Computing</a>. An introduction to self-adapting methods also called artificial intelligence or machine learning.</li>
<li> <a href="https://www.uio.no/studier/emner/matnat/ifi/IN-STK5000/index-eng.html" target="_self">IN-STK5000 Adaptive Methods for Data-Based Decision Making</a>. Methods for adaptive collection and processing of data based on machine learning techniques.</li>
<li> <a href="https://www.uio.no/studier/emner/matnat/ifi/IN5400/" target="_self">IN5400/INF5860 Machine Learning for Image Analysis</a>. An introduction to deep learning with particular emphasis on applications within Image analysis, but useful for other application areas too.</li>
<li> <a href="https://www.uio.no/studier/emner/matnat/its/TEK5040/" target="_self">TEK5040 Deep learning for autonomous systems</a>. The course addresses advanced algorithms and architectures for deep learning with neural networks. The course provides an introduction to how deep-learning techniques can be used in the construction of key parts of advanced autonomous systems that exist in physical environments and cyber environments.</li>
<li> <a href="https://www.uio.no/studier/emner/matnat/math/STK4051/index-eng.html" target="_self">STK4051 Computational Statistics</a></li>
<li> <a href="https://www.uio.no/studier/emner/matnat/math/STK4021/index-eng.html" target="_self">STK4021 Applied Bayesian Analysis and Numerical Methods</a></li>
</ol>
<ul>
<li> GIT for version control, and GitHub or GitLab as repositories, highly recommended. This will be discussed during the first exercise session</li>
<li> Anaconda and other Python environments, see intro slides and first exercise session</li>
</ul>
</div>
</div>
<p>
<p>
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@@ -145,6 +143,8 @@ The link here <a href="https://www.mn.uio.no/english/research/about/centre-focus
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<li><a href="._Intro2Course-bs009.html">10</a></li>
<li class="active"><a href="._Intro2Course-bs010.html">11</a></li>
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<!-- navigation toc: --> <li><a href="._Intro2Course-bs001.html#___sec0" style="font-size: 80%;">Overview of first week</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs002.html#___sec1" style="font-size: 80%;">Lectures and ComputerLab</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs003.html#___sec2" style="font-size: 80%;">Course Format</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs004.html#___sec3" style="font-size: 80%;">Teachers</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs005.html#___sec4" style="font-size: 80%;">Deadlines for projects (tentative)</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs006.html#___sec5" style="font-size: 80%;">Prerequisites</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs007.html#___sec6" style="font-size: 80%;">Learning outcomes</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs008.html#___sec7" style="font-size: 80%;">Topics covered in this course: Statistical analysis and optimization of data</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs009.html#___sec8" style="font-size: 80%;">Topics covered in this course: Machine Learning</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs010.html#___sec9" style="font-size: 80%;">Extremely useful tools, strongly recommended</a></li>
<!-- navigation toc: --> <li><a href="#___sec10" style="font-size: 80%;">Other courses on Data science and Machine Learning at UiO</a></li>
</ul>
</li>
</ul>
</div>
</div>
</div> <!-- end of navigation bar -->
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<p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p> <!-- add vertical space -->
<a name="part0011"></a>
<!-- !split -->
<h2 id="___sec10" class="anchor">Other courses on Data science and Machine Learning at UiO </h2>
<p>
The link here <a href="https://www.mn.uio.no/english/research/about/centre-focus/innovation/data-science/studies/" target="_self"><tt>https://www.mn.uio.no/english/research/about/centre-focus/innovation/data-science/studies/</tt></a> gives an excellent overview of courses on Machine learning at UiO.
<ol>
<li> <a href="http://www.uio.no/studier/emner/matnat/math/STK2100/index-eng.html" target="_self">STK2100 Machine learning and statistical methods for prediction and classification</a>.</li>
<li> <a href="https://www.uio.no/studier/emner/matnat/ifi/IN3050/index-eng.html" target="_self">IN3050 Introduction to Artificial Intelligence and Machine Learning</a>. Introductory course in machine learning and AI with an algorithmic approach.</li>
<li> <a href="http://www.uio.no/studier/emner/matnat/math/STK-INF3000/index-eng.html" target="_self">STK-INF3000/4000 Selected Topics in Data Science</a>. The course provides insight into selected contemporary relevant topics within Data Science.</li>
<li> <a href="https://www.uio.no/studier/emner/matnat/ifi/IN4080/index.html" target="_self">IN4080 Natural Language Processing</a>. Probabilistic and machine learning techniques applied to natural language processing.</li>
<li> <a href="https://www.uio.no/studier/emner/matnat/math/STK-IN4300/index-eng.html" target="_self">STK-IN4300 Statistical learning methods in Data Science</a>. An advanced introduction to statistical and machine learning. For students with a good mathematics and statistics background.</li>
<li> <a href="http://www.uio.no/studier/emner/matnat/ifi/INF4490/" target="_self">INF4490 Biologically Inspired Computing</a>. An introduction to self-adapting methods also called artificial intelligence or machine learning.</li>
<li> <a href="https://www.uio.no/studier/emner/matnat/ifi/IN-STK5000/index-eng.html" target="_self">IN-STK5000 Adaptive Methods for Data-Based Decision Making</a>. Methods for adaptive collection and processing of data based on machine learning techniques.</li>
<li> <a href="https://www.uio.no/studier/emner/matnat/ifi/IN5400/" target="_self">IN5400/INF5860 Machine Learning for Image Analysis</a>. An introduction to deep learning with particular emphasis on applications within Image analysis, but useful for other application areas too.</li>
<li> <a href="https://www.uio.no/studier/emner/matnat/its/TEK5040/" target="_self">TEK5040 Deep learning for autonomous systems</a>. The course addresses advanced algorithms and architectures for deep learning with neural networks. The course provides an introduction to how deep-learning techniques can be used in the construction of key parts of advanced autonomous systems that exist in physical environments and cyber environments.</li>
<li> <a href="https://www.uio.no/studier/emner/matnat/math/STK4051/index-eng.html" target="_self">STK4051 Computational Statistics</a></li>
<li> <a href="https://www.uio.no/studier/emner/matnat/math/STK4021/index-eng.html" target="_self">STK4021 Applied Bayesian Analysis and Numerical Methods</a></li>
</ol>
<p>
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<!-- navigation toc: --> <li><a href="._Intro2Course-bs006.html#___sec5" style="font-size: 80%;">Learning outcomes</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs007.html#___sec6" style="font-size: 80%;">Topics covered in this course: Statistical analysis and optimization of data</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs008.html#___sec7" style="font-size: 80%;">Topics covered in this course: Machine Learning</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs009.html#___sec8" style="font-size: 80%;">Extremely useful tools, strongly recommended</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs010.html#___sec9" style="font-size: 80%;">Other courses on Data science and Machine Learning at UiO</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs006.html#___sec5" style="font-size: 80%;">Prerequisites</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs007.html#___sec6" style="font-size: 80%;">Learning outcomes</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs008.html#___sec7" style="font-size: 80%;">Topics covered in this course: Statistical analysis and optimization of data</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs009.html#___sec8" style="font-size: 80%;">Topics covered in this course: Machine Learning</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs010.html#___sec9" style="font-size: 80%;">Extremely useful tools, strongly recommended</a></li>
<!-- navigation toc: --> <li><a href="._Intro2Course-bs011.html#___sec10" style="font-size: 80%;">Other courses on Data science and Machine Learning at UiO</a></li>
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@@ -129,7 +131,7 @@ end of tocinfo -->
<center>[2] <b>Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University</b></center>
<br>
<p>
<center><h4>Nov 12, 2019</h4></center> <!-- date -->
<center><h4>Aug 19, 2020</h4></center> <!-- date -->
<br>
<p>
@@ -153,7 +155,7 @@ end of tocinfo -->
<li><a href="._Intro2Course-bs008.html">9</a></li>
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<li><a href="">...</a></li>
<li><a href="._Intro2Course-bs010.html">11</a></li>
<li><a href="._Intro2Course-bs011.html">12</a></li>
<li><a href="._Intro2Course-bs001.html">&raquo;</a></li>
</ul>
<!-- ------------------- end of main content --------------- -->
@@ -171,7 +173,7 @@ end of tocinfo -->
<center style="font-size:80%">
<!-- copyright --> &copy; 1999-2019, Morten Hjorth-Jensen. Released under CC Attribution-NonCommercial 4.0 license
<!-- copyright --> &copy; 1999-2020, Morten Hjorth-Jensen. Released under CC Attribution-NonCommercial 4.0 license
</center>
@@ -132,12 +132,12 @@ td.padding {
<center>[2] <b>Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University</b></center>
<br>
<p>&nbsp;<br>
<center><h4>Nov 12, 2019</h4></center> <!-- date -->
<center><h4>Aug 19, 2020</h4></center> <!-- date -->
<br>
<p>
<center style="font-size:80%">
<!-- copyright --> &copy; 1999-2019, Morten Hjorth-Jensen. Released under CC Attribution-NonCommercial 4.0 license
<!-- copyright --> &copy; 1999-2020, Morten Hjorth-Jensen. Released under CC Attribution-NonCommercial 4.0 license
</center>
</section>
@@ -150,13 +150,13 @@ td.padding {
<b></b>
<ul>
<p><li> Thursday August 22: First lecture: Presentation of the course, aims and content</li>
<p><li> Thursday August 20: First lecture: Presentation of the course, aims and content</li>
<p><li> Thursday: Second Lecture: Start with simple linear regression and repetition of linear algebra</li>
<p><li> Thursday: Second Lecture: Start with simple linear regression and repetition of linear algebra and elements of statistics</li>
<p><li> Friday August 23: Linear regression</li>
<p><li> Friday August 21: Linear regression</li>
<p><li> Computer lab: Tuesday. First time: Tuesday August 27.</li>
<p><li> Computer lab: Wednesdays, 8am-6pm. First time: Wednesday August 26.</li>
</ul>
</div>
</section>
@@ -170,18 +170,14 @@ td.padding {
<b></b>
<ul>
<p><li> Lectures: Thursday (2.15pm-4pm, this may change) and Friday (12.15pm-2pm).</li>
<p><li> Lectures: Thursday (12.15pm-2pm and Friday (12.15pm-2pm). Due to the present COVID-19 situation all lectures will be online. They will be recorded and posted online at the official UiO <a href="https://www.uio.no/studier/emner/matnat/fys/FYS-STK4155/h20/index.html" target="_blank">website</a>.</li>
<p><li> Weekly reading assignments needed to solve projects and exercises.</li>
<p><li> Weekly reading assignments and videos needed to solve projects and exercises.</li>
<p><li> Weekly exercises when not working on projects. You can hand in exercises if you want.</li>
<p><li> First hour of each lab session may be used to discuss technicalities, address questions etc linked with projects and exercises.</li>
<p><li> Detailed lecture notes, exercises, all programs presented, projects etc can be found at the homepage of the course.</li>
<p><li> Computerlab: Tuesday (8am-4pm), VB IT-auditorium 3. Depending on how many enlist we may extend the lab sessions</li>
<p><li> Weekly plans and all other information are on the official webpage.</li>
<p><li> No final exam, three projects that are graded and have to be approved.</li>
@@ -219,7 +215,7 @@ td.padding {
<section>
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@@ -227,27 +223,28 @@ td.padding {
<p>
<b>Teachers :</b>
<ol>
<p><li> <a href="https://www.researchgate.net/profile/Hanna_Svennevik" target="_blank">Hanna Svennevik</a></li>
<p><li> <a href="http://mhjgit.github.io/info/doc/web/" target="_blank">Morten Hjorth-Jensen</a></li>
<p><li> <a href="https://no.linkedin.com/in/lucas-charpentier-176206171" target="_blank">Lucas Charpentier</a></li>
<p><li> <a href="https://www.researchgate.net/profile/Stian_Bilek" target="_blank">Stian Bilek</a></li>
<p><li> <a href="https://github.com/Schoyen" target="_blank">&#216;yvind Sigmundson Sch&#248;yen</a></li>
</ol>
<p>
<ul>
<p><li> Morten Hjorth-Jensen, morten.hjorth-jensen@fys.uio.no</li>
<table border="1">
<thead>
<tr><th align="center"> day </th> <th align="center"> Time </th> </tr>
</thead>
<tbody>
<tr><td align="center"> Group 1: Tuesday </td> <td align="center"> 8am-10am </td> </tr>
<tr><td align="center"> Group 2: Tuesday </td> <td align="center"> 10am-12pm </td> </tr>
<tr><td align="center"> Group 3: Tuesday </td> <td align="center"> 12pm-2pm </td> </tr>
<tr><td align="center"> Group 4: Tuesday </td> <td align="center"> 2pm-4pm </td> </tr>
</tbody>
</table>
<ul>
<p><li> <b>Phone</b>: +47-48257387</li>
<p><li> <b>Office</b>: Department of Physics, University of Oslo, Eastern wing, room F&#216;470</li>
<p><li> <b>Office hours</b>: <em>Anytime</em>! In Fall Semester 2020 (FS20), as a rule of thumb office hours are planned via computer or telephone. Individual or group office hours will be performed via zoom. Feel free to send an email for planning. In person meetings may also be possible if allowed by the University of Oslo's COVID-19 instructions.</li>
</ul>
<p><li> &#216;yvind Sigmundson Sch&#248;yen, oyvinssc@student.matnat.uio.no</li>
<ul>
<p><li> <b>Office</b>: Department of Physics, University of Oslo, Eastern wing, room F&#216;452</li>
</ul>
<p><li> Michael Bitney, m.s.bitney@fys.uio.no</li>
<p><li> Kristian Wold, kriswold@student.matnat.uio.no</li>
<p><li> Nicolai Haug, nicoha@student.matnat.uio.no</li>
<p><li> Per-Dimitri S&#248;nsteland, perdimitri.bs@gmail.com</li>
</ul>
</div>
</section>
@@ -259,13 +256,13 @@ td.padding {
<div class="alert alert-block alert-block alert-text-normal">
<b></b>
<ol>
<p><li> Project 1: September 30 (graded with feedback)</li>
<p><li> Project 2: November 13 (graded with feedback)</li>
<p><li> Project 3: December 15 (graded with feedback)</li>
<p><li> Project 1: September 28 (graded with feedback)</li>
<p><li> Project 2: November 2 (graded with feedback)</li>
<p><li> Project 3: December 7 (graded with feedback)</li>
</ol>
<p>
Projects are handed in using devilry.ifi.uio.no. We use Github as repository for codes, benchmark calculations etc. Comments and feedback on projects only via devilry.
Projects are handed in using <b>Canvas</b>. We use Github as repository for codes, benchmark calculations etc. Comments and feedback on projects only via <b>Canvas</b>.
</div>
@@ -273,49 +270,81 @@ Projects are handed in using devilry.ifi.uio.no. We use Github as repository for
<section>
<h2 id="___sec5">Learning outcomes </h2>
<h2 id="___sec5">Prerequisites </h2>
<p>
Basic knowledge in programming and mathematics, with an emphasis on
linear algebra. Knowledge of Python or/and C++ as programming
languages is strongly recommended and experience with Jupiter notebook
is recommended. Required courses are the equivalents to the University
of Oslo mathematics courses MAT1100, MAT1110, MAT1120 and at least one
of the corresponding computing and programming courses INF1000/INF1110
or MAT-INF1100/MAT-INF1100L/BIOS1100/KJM-INF1100. Most universities
offer nowadays a basic programming course (often compulsory) where
Python is the recurring programming language.
</section>
<section>
<h2 id="___sec6">Learning outcomes </h2>
<p>
<div class="alert alert-block alert-block alert-text-normal">
<b></b>
<p>
This course aims at giving you insights and knowledge about many of the central algorithms used in Data Analysis and Machine Learning. The course is project based and through various numerical projects, normally three, you will be exposed to fundamental research problems in these fields, with the aim to reproduce state of the art scientific results. Both supervised and unsupervised methods will be covered. The emphasis is on a frequentist approach, although we will try to link it with a Bayesian approach as well. You will learn to develop and structure large codes for studying different cases where Machine Learning is applied to, get acquainted with computing facilities and learn to handle large scientific projects. A good scientific and ethical conduct is emphasized throughout the course. More specifically, after this course you will
<ul>
<p><li> Learn about basic data analysis, statistical analysis, Bayesian statistics, Monte Carlo sampling, data optimization and machine learning</li>
<p><li> Be capable of extending the acquired knowledge to other systems and cases</li>
<p><li> Have an understanding of central algorithms used in data analysis and machine learning</li>
<p><li> Gain knowledge of central aspects of Monte Carlo methods, Markov chains, Gibbs samplers and their possible applications</li>
<p><li> Understand linear methods for regression and classification, from ordinary least squares, via Lasso and Ridge to Logistic regression</li>
<p><li> Learn about various neural networks and deep learning methods for supervised and unsupervised learning</li>
<p><li> Learn about about decision trees and random forests</li>
<p><li> Learn about support vector machines and kernel transformations</li>
<p><li> Reduction of data sets, from PCA to clustering, supervised and unsupervided methods</li>
<p><li> Work on numerical projects to illustrate the theory. The projects play a central role and you are expected to know modern programming languages like Python or C++</li>
<p><li> Learn about basic data analysis, statistical analysis, Bayesian statistics, Monte Carlo sampling, data optimization and machine learning;</li>
<p><li> Be capable of extending the acquired knowledge to other systems and cases;</li>
<p><li> Have an understanding of central algorithms used in data analysis and machine learning;</li>
<p><li> Understand linear methods for regression and classification, from ordinary least squares, via Lasso and Ridge to Logistic regression;</li>
<p><li> Learn about neural networks and deep learning methods for supervised and unsupervised learning. Emphasis on feed forward neural networks, convolutional and recurrent neural networks;</li>
<p><li> Learn about about decision trees, random forests, bagging and boosting methods;</li>
<p><li> Learn about support vector machines and kernel transformations;</li>
<p><li> Reduction of data sets, from PCA to clustering;</li>
<p><li> Autoencoders and Reinforcement Learning;</li>
<p><li> Work on numerical projects to illustrate the theory. The projects play a central role and you are expected to know modern programming languages like Python or C++ and/or Fortran (Fortran2003 or later).</li>
</ul>
</div>
</section>
<section>
<h2 id="___sec6">Topics covered in this course: Statistical analysis and optimization of data </h2>
<h2 id="___sec7">Topics covered in this course: Statistical analysis and optimization of data </h2>
<p>
The course has two central parts
<ol>
<p><li> Statistical analysis and optimization of data</li>
<p><li> Machine learning</li>
</ol>
<p>
These topics will be scattered thorughout the course and may not necessarily be taught separately. Rather, we will often take an approach (during the lectures and project/exercise sessions) where say elements from statistical data analysis are mixed with specific Machine Learning algorithms
<p>
<div class="alert alert-block alert-block alert-text-normal">
<b></b>
<b>Statistical analysis and optimization of data.</b>
<p>
The following topics will be covered
<ul>
<p><li> Basic concepts, expectation values, variance, covariance, correlation functions and errors</li>
<p><li> Simpler models, binomial distribution, the Poisson distribution, simple and multivariate normal distributions</li>
<p><li> Central elements of Bayesian statistics and modeling</li>
<p><li> Gradient methods for data optimization</li>
<p><li> Monte Carlo methods, Markov chains, Metropolis-Hastings algorithm</li>
<p><li> Linear methods for regression and classification</li>
<p><li> Estimation of errors using cross-validation, blocking, bootstrapping and jackknife methods</li>
<p><li> Practical optimization using Singular-value decomposition and least squares for parameterizing data</li>
<p><li> Basic concepts, expectation values, variance, covariance, correlation functions and errors;</li>
<p><li> Simpler models, binomial distribution, the Poisson distribution, simple and multivariate normal distributions;</li>
<p><li> Central elements of Bayesian statistics and modeling;</li>
<p><li> Gradient methods for data optimization,</li>
<p><li> Monte Carlo methods, Markov chains, Gibbs sampling and Metropolis-Hastings sampling;</li>
<p><li> Estimation of errors and resampling techniques such as the cross-validation, blocking, bootstrapping and jackknife methods;</li>
<p><li> Principal Component Analysis (PCA) and its mathematical foundation</li>
</ul>
</div>
</section>
<section>
<h2 id="___sec7">Topics covered in this course: Machine Learning </h2>
<h2 id="___sec8">Topics covered in this course: Machine Learning </h2>
<p>
<div class="alert alert-block alert-block alert-text-normal">
@@ -324,38 +353,41 @@ Projects are handed in using devilry.ifi.uio.no. We use Github as repository for
The following topics will be covered
<ul>
<p><li> Linear Regression and Logistic Regression</li>
<p><li> Neural networks and deep learning</li>
<p><li> Decisions trees and nearest neighbor algorithms</li>
<p><li> Linear Regression and Logistic Regression;</li>
<p><li> Neural networks and deep learning, including convolutional and recurrent neural networks</li>
<p><li> Decisions trees, Random Forests, Bagging and Boosting</li>
<p><li> Support vector machines</li>
<p><li> Bayesian Neural Networks</li>
<p><li> Bayesian linear and logistic regression</li>
<p><li> Boltzmann Machines</li>
<p><li> Dimensionality reduction, from PCA to cluster models</li>
<p><li> Unsupervised learning Dimensionality reduction, from PCA to cluster models</li>
</ul>
<p>
Hands-on demonstrations, exercises and projects aim at deepening your understanding of these topics.
</div>
</section>
<section>
<h2 id="___sec8">Extremely useful tools, strongly recommended </h2>
<h2 id="___sec9">Extremely useful tools, strongly recommended </h2>
<p>
<div class="alert alert-block alert-block alert-text-normal">
<b>and discussed at the lab sessions.</b>
<ul>
<p><li> GIT for version control, highly recommended</li>
<p><li> GIT for version control, and GitHub or GitLab as repositories, highly recommended. This will be discussed during the first exercise session</li>
<p><li> Devilry for handing in projects, next week</li>
<p><li> Anaconda and other Python environments, see intro slides</li>
<p><li> Anaconda and other Python environments, see intro slides and first exercise session</li>
</ul>
</div>
</section>
<section>
<h2 id="___sec9">Other courses on Data science and Machine Learning at UiO </h2>
<h2 id="___sec10">Other courses on Data science and Machine Learning at UiO </h2>
<p>
The link here <a href="https://www.mn.uio.no/english/research/about/centre-focus/innovation/data-science/studies/" target="_blank"><tt>https://www.mn.uio.no/english/research/about/centre-focus/innovation/data-science/studies/</tt></a> gives an excellent overview of courses on Machine learning at UiO.
@@ -64,26 +64,27 @@ div { text-align: justify; text-justify: inter-word; }
'sections': [('Overview of first week', 2, None, '___sec0'),
('Lectures and ComputerLab', 2, None, '___sec1'),
('Course Format', 2, None, '___sec2'),
('Teachers and ComputerLab', 2, None, '___sec3'),
('Teachers', 2, None, '___sec3'),
('Deadlines for projects (tentative)', 2, None, '___sec4'),
('Learning outcomes', 2, None, '___sec5'),
('Prerequisites', 2, None, '___sec5'),
('Learning outcomes', 2, None, '___sec6'),
('Topics covered in this course: Statistical analysis and '
'optimization of data',
2,
None,
'___sec6'),
'___sec7'),
('Topics covered in this course: Machine Learning',
2,
None,
'___sec7'),
'___sec8'),
('Extremely useful tools, strongly recommended',
2,
None,
'___sec8'),
'___sec9'),
('Other courses on Data science and Machine Learning at UiO',
2,
None,
'___sec9')]}
'___sec10')]}
end of tocinfo -->
<body>
@@ -109,7 +110,7 @@ end of tocinfo -->
<center>[2] <b>Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University</b></center>
<br>
<p>
<center><h4>Nov 12, 2019</h4></center> <!-- date -->
<center><h4>Aug 19, 2020</h4></center> <!-- date -->
<br>
<p>
<!-- !split --><br><br><br><br><br><br><br><br><br><br>
@@ -122,10 +123,10 @@ end of tocinfo -->
<p>
<ul>
<li> Thursday August 22: First lecture: Presentation of the course, aims and content</li>
<li> Thursday: Second Lecture: Start with simple linear regression and repetition of linear algebra</li>
<li> Friday August 23: Linear regression</li>
<li> Computer lab: Tuesday. First time: Tuesday August 27.</li>
<li> Thursday August 20: First lecture: Presentation of the course, aims and content</li>
<li> Thursday: Second Lecture: Start with simple linear regression and repetition of linear algebra and elements of statistics</li>
<li> Friday August 21: Linear regression</li>
<li> Computer lab: Wednesdays, 8am-6pm. First time: Wednesday August 26.</li>
</ul>
</div>
@@ -141,12 +142,10 @@ end of tocinfo -->
<p>
<ul>
<li> Lectures: Thursday (2.15pm-4pm, this may change) and Friday (12.15pm-2pm).</li>
<li> Weekly reading assignments needed to solve projects and exercises.</li>
<li> Lectures: Thursday (12.15pm-2pm and Friday (12.15pm-2pm). Due to the present COVID-19 situation all lectures will be online. They will be recorded and posted online at the official UiO <a href="https://www.uio.no/studier/emner/matnat/fys/FYS-STK4155/h20/index.html" target="_blank">website</a>.</li>
<li> Weekly reading assignments and videos needed to solve projects and exercises.</li>
<li> Weekly exercises when not working on projects. You can hand in exercises if you want.</li>
<li> First hour of each lab session may be used to discuss technicalities, address questions etc linked with projects and exercises.</li>
<li> Detailed lecture notes, exercises, all programs presented, projects etc can be found at the homepage of the course.</li>
<li> Computerlab: Tuesday (8am-4pm), VB IT-auditorium 3. Depending on how many enlist we may extend the lab sessions</li>
<li> Weekly plans and all other information are on the official webpage.</li>
<li> No final exam, three projects that are graded and have to be approved.</li>
</ul>
@@ -182,7 +181,7 @@ end of tocinfo -->
<p>
<!-- !split --><br><br><br><br><br><br><br><br><br><br>
<h2 id="___sec3">Teachers and ComputerLab </h2>
<h2 id="___sec3">Teachers </h2>
<p>
<div class="alert alert-block alert-block alert-text-normal">
@@ -192,26 +191,26 @@ end of tocinfo -->
<p>
<b>Teachers :</b>
<ol>
<li> <a href="https://www.researchgate.net/profile/Hanna_Svennevik" target="_blank">Hanna Svennevik</a></li>
<li> <a href="http://mhjgit.github.io/info/doc/web/" target="_blank">Morten Hjorth-Jensen</a></li>
<li> <a href="https://no.linkedin.com/in/lucas-charpentier-176206171" target="_blank">Lucas Charpentier</a></li>
<li> <a href="https://www.researchgate.net/profile/Stian_Bilek" target="_blank">Stian Bilek</a></li>
<li> <a href="https://github.com/Schoyen" target="_blank">&#216;yvind Sigmundson Sch&#248;yen</a></li>
</ol>
<ul>
<li> Morten Hjorth-Jensen, morten.hjorth-jensen@fys.uio.no</li>
<table border="1">
<thead>
<tr><th align="center"> day </th> <th align="center"> Time </th> </tr>
</thead>
<tbody>
<tr><td align="center"> Group 1: Tuesday </td> <td align="center"> 8am-10am </td> </tr>
<tr><td align="center"> Group 2: Tuesday </td> <td align="center"> 10am-12pm </td> </tr>
<tr><td align="center"> Group 3: Tuesday </td> <td align="center"> 12pm-2pm </td> </tr>
<tr><td align="center"> Group 4: Tuesday </td> <td align="center"> 2pm-4pm </td> </tr>
</tbody>
</table>
<ul>
<li> <b>Phone</b>: +47-48257387</li>
<li> <b>Office</b>: Department of Physics, University of Oslo, Eastern wing, room F&#216;470</li>
<li> <b>Office hours</b>: <em>Anytime</em>! In Fall Semester 2020 (FS20), as a rule of thumb office hours are planned via computer or telephone. Individual or group office hours will be performed via zoom. Feel free to send an email for planning. In person meetings may also be possible if allowed by the University of Oslo's COVID-19 instructions.</li>
</ul>
<li> &#216;yvind Sigmundson Sch&#248;yen, oyvinssc@student.matnat.uio.no</li>
<ul>
<li> <b>Office</b>: Department of Physics, University of Oslo, Eastern wing, room F&#216;452</li>
</ul>
<li> Michael Bitney, m.s.bitney@fys.uio.no</li>
<li> Kristian Wold, kriswold@student.matnat.uio.no</li>
<li> Nicolai Haug, nicoha@student.matnat.uio.no</li>
<li> Per-Dimitri S&#248;nsteland, perdimitri.bs@gmail.com</li>
</ul>
</div>
@@ -226,12 +225,12 @@ end of tocinfo -->
<p>
<ol>
<li> Project 1: September 30 (graded with feedback)</li>
<li> Project 2: November 13 (graded with feedback)</li>
<li> Project 3: December 15 (graded with feedback)</li>
<li> Project 1: September 28 (graded with feedback)</li>
<li> Project 2: November 2 (graded with feedback)</li>
<li> Project 3: December 7 (graded with feedback)</li>
</ol>
Projects are handed in using devilry.ifi.uio.no. We use Github as repository for codes, benchmark calculations etc. Comments and feedback on projects only via devilry.
Projects are handed in using <b>Canvas</b>. We use Github as repository for codes, benchmark calculations etc. Comments and feedback on projects only via <b>Canvas</b>.
</div>
@@ -240,24 +239,43 @@ Projects are handed in using devilry.ifi.uio.no. We use Github as repository for
<p>
<!-- !split --><br><br><br><br><br><br><br><br><br><br>
<h2 id="___sec5">Learning outcomes </h2>
<h2 id="___sec5">Prerequisites </h2>
<p>
Basic knowledge in programming and mathematics, with an emphasis on
linear algebra. Knowledge of Python or/and C++ as programming
languages is strongly recommended and experience with Jupiter notebook
is recommended. Required courses are the equivalents to the University
of Oslo mathematics courses MAT1100, MAT1110, MAT1120 and at least one
of the corresponding computing and programming courses INF1000/INF1110
or MAT-INF1100/MAT-INF1100L/BIOS1100/KJM-INF1100. Most universities
offer nowadays a basic programming course (often compulsory) where
Python is the recurring programming language.
<p>
<!-- !split --><br><br><br><br><br><br><br><br><br><br>
<h2 id="___sec6">Learning outcomes </h2>
<p>
<div class="alert alert-block alert-block alert-text-normal">
<b></b>
<p>
<p>
This course aims at giving you insights and knowledge about many of the central algorithms used in Data Analysis and Machine Learning. The course is project based and through various numerical projects, normally three, you will be exposed to fundamental research problems in these fields, with the aim to reproduce state of the art scientific results. Both supervised and unsupervised methods will be covered. The emphasis is on a frequentist approach, although we will try to link it with a Bayesian approach as well. You will learn to develop and structure large codes for studying different cases where Machine Learning is applied to, get acquainted with computing facilities and learn to handle large scientific projects. A good scientific and ethical conduct is emphasized throughout the course. More specifically, after this course you will
<ul>
<li> Learn about basic data analysis, statistical analysis, Bayesian statistics, Monte Carlo sampling, data optimization and machine learning</li>
<li> Be capable of extending the acquired knowledge to other systems and cases</li>
<li> Have an understanding of central algorithms used in data analysis and machine learning</li>
<li> Gain knowledge of central aspects of Monte Carlo methods, Markov chains, Gibbs samplers and their possible applications</li>
<li> Understand linear methods for regression and classification, from ordinary least squares, via Lasso and Ridge to Logistic regression</li>
<li> Learn about various neural networks and deep learning methods for supervised and unsupervised learning</li>
<li> Learn about about decision trees and random forests</li>
<li> Learn about support vector machines and kernel transformations</li>
<li> Reduction of data sets, from PCA to clustering, supervised and unsupervided methods</li>
<li> Work on numerical projects to illustrate the theory. The projects play a central role and you are expected to know modern programming languages like Python or C++</li>
<li> Learn about basic data analysis, statistical analysis, Bayesian statistics, Monte Carlo sampling, data optimization and machine learning;</li>
<li> Be capable of extending the acquired knowledge to other systems and cases;</li>
<li> Have an understanding of central algorithms used in data analysis and machine learning;</li>
<li> Understand linear methods for regression and classification, from ordinary least squares, via Lasso and Ridge to Logistic regression;</li>
<li> Learn about neural networks and deep learning methods for supervised and unsupervised learning. Emphasis on feed forward neural networks, convolutional and recurrent neural networks;</li>
<li> Learn about about decision trees, random forests, bagging and boosting methods;</li>
<li> Learn about support vector machines and kernel transformations;</li>
<li> Reduction of data sets, from PCA to clustering;</li>
<li> Autoencoders and Reinforcement Learning;</li>
<li> Work on numerical projects to illustrate the theory. The projects play a central role and you are expected to know modern programming languages like Python or C++ and/or Fortran (Fortran2003 or later).</li>
</ul>
</div>
@@ -265,22 +283,34 @@ Projects are handed in using devilry.ifi.uio.no. We use Github as repository for
<p>
<!-- !split --><br><br><br><br><br><br><br><br><br><br>
<h2 id="___sec6">Topics covered in this course: Statistical analysis and optimization of data </h2>
<h2 id="___sec7">Topics covered in this course: Statistical analysis and optimization of data </h2>
<p>
The course has two central parts
<ol>
<li> Statistical analysis and optimization of data</li>
<li> Machine learning</li>
</ol>
These topics will be scattered thorughout the course and may not necessarily be taught separately. Rather, we will often take an approach (during the lectures and project/exercise sessions) where say elements from statistical data analysis are mixed with specific Machine Learning algorithms
<p>
<div class="alert alert-block alert-block alert-text-normal">
<b></b>
<b>Statistical analysis and optimization of data.</b>
<p>
<p>
The following topics will be covered
<ul>
<li> Basic concepts, expectation values, variance, covariance, correlation functions and errors</li>
<li> Simpler models, binomial distribution, the Poisson distribution, simple and multivariate normal distributions</li>
<li> Central elements of Bayesian statistics and modeling</li>
<li> Gradient methods for data optimization</li>
<li> Monte Carlo methods, Markov chains, Metropolis-Hastings algorithm</li>
<li> Linear methods for regression and classification</li>
<li> Estimation of errors using cross-validation, blocking, bootstrapping and jackknife methods</li>
<li> Practical optimization using Singular-value decomposition and least squares for parameterizing data</li>
<li> Basic concepts, expectation values, variance, covariance, correlation functions and errors;</li>
<li> Simpler models, binomial distribution, the Poisson distribution, simple and multivariate normal distributions;</li>
<li> Central elements of Bayesian statistics and modeling;</li>
<li> Gradient methods for data optimization,</li>
<li> Monte Carlo methods, Markov chains, Gibbs sampling and Metropolis-Hastings sampling;</li>
<li> Estimation of errors and resampling techniques such as the cross-validation, blocking, bootstrapping and jackknife methods;</li>
<li> Principal Component Analysis (PCA) and its mathematical foundation</li>
</ul>
</div>
@@ -288,7 +318,7 @@ Projects are handed in using devilry.ifi.uio.no. We use Github as repository for
<p>
<!-- !split --><br><br><br><br><br><br><br><br><br><br>
<h2 id="___sec7">Topics covered in this course: Machine Learning </h2>
<h2 id="___sec8">Topics covered in this course: Machine Learning </h2>
<p>
<div class="alert alert-block alert-block alert-text-normal">
@@ -297,21 +327,25 @@ Projects are handed in using devilry.ifi.uio.no. We use Github as repository for
The following topics will be covered
<ul>
<li> Linear Regression and Logistic Regression</li>
<li> Neural networks and deep learning</li>
<li> Decisions trees and nearest neighbor algorithms</li>
<li> Linear Regression and Logistic Regression;</li>
<li> Neural networks and deep learning, including convolutional and recurrent neural networks</li>
<li> Decisions trees, Random Forests, Bagging and Boosting</li>
<li> Support vector machines</li>
<li> Bayesian Neural Networks</li>
<li> Bayesian linear and logistic regression</li>
<li> Boltzmann Machines</li>
<li> Dimensionality reduction, from PCA to cluster models</li>
<li> Unsupervised learning Dimensionality reduction, from PCA to cluster models</li>
</ul>
Hands-on demonstrations, exercises and projects aim at deepening your understanding of these topics.
</div>
<p>
<!-- !split --><br><br><br><br><br><br><br><br><br><br>
<h2 id="___sec8">Extremely useful tools, strongly recommended </h2>
<h2 id="___sec9">Extremely useful tools, strongly recommended </h2>
<p>
<div class="alert alert-block alert-block alert-text-normal">
@@ -319,9 +353,8 @@ The following topics will be covered
<p>
<ul>
<li> GIT for version control, highly recommended</li>
<li> Devilry for handing in projects, next week</li>
<li> Anaconda and other Python environments, see intro slides</li>
<li> GIT for version control, and GitHub or GitLab as repositories, highly recommended. This will be discussed during the first exercise session</li>
<li> Anaconda and other Python environments, see intro slides and first exercise session</li>
</ul>
</div>
@@ -329,7 +362,7 @@ The following topics will be covered
<p>
<!-- !split --><br><br><br><br><br><br><br><br><br><br>
<h2 id="___sec9">Other courses on Data science and Machine Learning at UiO </h2>
<h2 id="___sec10">Other courses on Data science and Machine Learning at UiO </h2>
<p>
The link here <a href="https://www.mn.uio.no/english/research/about/centre-focus/innovation/data-science/studies/" target="_blank"><tt>https://www.mn.uio.no/english/research/about/centre-focus/innovation/data-science/studies/</tt></a> gives an excellent overview of courses on Machine learning at UiO.
@@ -353,7 +386,7 @@ The link here <a href="https://www.mn.uio.no/english/research/about/centre-focus
<center style="font-size:80%">
<!-- copyright --> &copy; 1999-2019, Morten Hjorth-Jensen. Released under CC Attribution-NonCommercial 4.0 license
<!-- copyright --> &copy; 1999-2020, Morten Hjorth-Jensen. Released under CC Attribution-NonCommercial 4.0 license
</center>
+104 -71
View File
@@ -69,26 +69,27 @@ div { text-align: justify; text-justify: inter-word; }
'sections': [('Overview of first week', 2, None, '___sec0'),
('Lectures and ComputerLab', 2, None, '___sec1'),
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('Teachers', 2, None, '___sec3'),
('Deadlines for projects (tentative)', 2, None, '___sec4'),
('Learning outcomes', 2, None, '___sec5'),
('Prerequisites', 2, None, '___sec5'),
('Learning outcomes', 2, None, '___sec6'),
('Topics covered in this course: Statistical analysis and '
'optimization of data',
2,
None,
'___sec6'),
'___sec7'),
('Topics covered in this course: Machine Learning',
2,
None,
'___sec7'),
'___sec8'),
('Extremely useful tools, strongly recommended',
2,
None,
'___sec8'),
'___sec9'),
('Other courses on Data science and Machine Learning at UiO',
2,
None,
'___sec9')]}
'___sec10')]}
end of tocinfo -->
<body>
@@ -114,7 +115,7 @@ end of tocinfo -->
<center>[2] <b>Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University</b></center>
<br>
<p>
<center><h4>Nov 12, 2019</h4></center> <!-- date -->
<center><h4>Aug 19, 2020</h4></center> <!-- date -->
<br>
<p>
<!-- !split --><br><br><br><br><br><br><br><br><br><br>
@@ -127,10 +128,10 @@ end of tocinfo -->
<p>
<ul>
<li> Thursday August 22: First lecture: Presentation of the course, aims and content</li>
<li> Thursday: Second Lecture: Start with simple linear regression and repetition of linear algebra</li>
<li> Friday August 23: Linear regression</li>
<li> Computer lab: Tuesday. First time: Tuesday August 27.</li>
<li> Thursday August 20: First lecture: Presentation of the course, aims and content</li>
<li> Thursday: Second Lecture: Start with simple linear regression and repetition of linear algebra and elements of statistics</li>
<li> Friday August 21: Linear regression</li>
<li> Computer lab: Wednesdays, 8am-6pm. First time: Wednesday August 26.</li>
</ul>
</div>
@@ -146,12 +147,10 @@ end of tocinfo -->
<p>
<ul>
<li> Lectures: Thursday (2.15pm-4pm, this may change) and Friday (12.15pm-2pm).</li>
<li> Weekly reading assignments needed to solve projects and exercises.</li>
<li> Lectures: Thursday (12.15pm-2pm and Friday (12.15pm-2pm). Due to the present COVID-19 situation all lectures will be online. They will be recorded and posted online at the official UiO <a href="https://www.uio.no/studier/emner/matnat/fys/FYS-STK4155/h20/index.html" target="_blank">website</a>.</li>
<li> Weekly reading assignments and videos needed to solve projects and exercises.</li>
<li> Weekly exercises when not working on projects. You can hand in exercises if you want.</li>
<li> First hour of each lab session may be used to discuss technicalities, address questions etc linked with projects and exercises.</li>
<li> Detailed lecture notes, exercises, all programs presented, projects etc can be found at the homepage of the course.</li>
<li> Computerlab: Tuesday (8am-4pm), VB IT-auditorium 3. Depending on how many enlist we may extend the lab sessions</li>
<li> Weekly plans and all other information are on the official webpage.</li>
<li> No final exam, three projects that are graded and have to be approved.</li>
</ul>
@@ -187,7 +186,7 @@ end of tocinfo -->
<p>
<!-- !split --><br><br><br><br><br><br><br><br><br><br>
<h2 id="___sec3">Teachers and ComputerLab </h2>
<h2 id="___sec3">Teachers </h2>
<p>
<div class="alert alert-block alert-block alert-text-normal">
@@ -197,26 +196,26 @@ end of tocinfo -->
<p>
<b>Teachers :</b>
<ol>
<li> <a href="https://www.researchgate.net/profile/Hanna_Svennevik" target="_blank">Hanna Svennevik</a></li>
<li> <a href="http://mhjgit.github.io/info/doc/web/" target="_blank">Morten Hjorth-Jensen</a></li>
<li> <a href="https://no.linkedin.com/in/lucas-charpentier-176206171" target="_blank">Lucas Charpentier</a></li>
<li> <a href="https://www.researchgate.net/profile/Stian_Bilek" target="_blank">Stian Bilek</a></li>
<li> <a href="https://github.com/Schoyen" target="_blank">&#216;yvind Sigmundson Sch&#248;yen</a></li>
</ol>
<ul>
<li> Morten Hjorth-Jensen, morten.hjorth-jensen@fys.uio.no</li>
<table border="1">
<thead>
<tr><th align="center"> day </th> <th align="center"> Time </th> </tr>
</thead>
<tbody>
<tr><td align="center"> Group 1: Tuesday </td> <td align="center"> 8am-10am </td> </tr>
<tr><td align="center"> Group 2: Tuesday </td> <td align="center"> 10am-12pm </td> </tr>
<tr><td align="center"> Group 3: Tuesday </td> <td align="center"> 12pm-2pm </td> </tr>
<tr><td align="center"> Group 4: Tuesday </td> <td align="center"> 2pm-4pm </td> </tr>
</tbody>
</table>
<ul>
<li> <b>Phone</b>: +47-48257387</li>
<li> <b>Office</b>: Department of Physics, University of Oslo, Eastern wing, room F&#216;470</li>
<li> <b>Office hours</b>: <em>Anytime</em>! In Fall Semester 2020 (FS20), as a rule of thumb office hours are planned via computer or telephone. Individual or group office hours will be performed via zoom. Feel free to send an email for planning. In person meetings may also be possible if allowed by the University of Oslo's COVID-19 instructions.</li>
</ul>
<li> &#216;yvind Sigmundson Sch&#248;yen, oyvinssc@student.matnat.uio.no</li>
<ul>
<li> <b>Office</b>: Department of Physics, University of Oslo, Eastern wing, room F&#216;452</li>
</ul>
<li> Michael Bitney, m.s.bitney@fys.uio.no</li>
<li> Kristian Wold, kriswold@student.matnat.uio.no</li>
<li> Nicolai Haug, nicoha@student.matnat.uio.no</li>
<li> Per-Dimitri S&#248;nsteland, perdimitri.bs@gmail.com</li>
</ul>
</div>
@@ -231,12 +230,12 @@ end of tocinfo -->
<p>
<ol>
<li> Project 1: September 30 (graded with feedback)</li>
<li> Project 2: November 13 (graded with feedback)</li>
<li> Project 3: December 15 (graded with feedback)</li>
<li> Project 1: September 28 (graded with feedback)</li>
<li> Project 2: November 2 (graded with feedback)</li>
<li> Project 3: December 7 (graded with feedback)</li>
</ol>
Projects are handed in using devilry.ifi.uio.no. We use Github as repository for codes, benchmark calculations etc. Comments and feedback on projects only via devilry.
Projects are handed in using <b>Canvas</b>. We use Github as repository for codes, benchmark calculations etc. Comments and feedback on projects only via <b>Canvas</b>.
</div>
@@ -245,24 +244,43 @@ Projects are handed in using devilry.ifi.uio.no. We use Github as repository for
<p>
<!-- !split --><br><br><br><br><br><br><br><br><br><br>
<h2 id="___sec5">Learning outcomes </h2>
<h2 id="___sec5">Prerequisites </h2>
<p>
Basic knowledge in programming and mathematics, with an emphasis on
linear algebra. Knowledge of Python or/and C++ as programming
languages is strongly recommended and experience with Jupiter notebook
is recommended. Required courses are the equivalents to the University
of Oslo mathematics courses MAT1100, MAT1110, MAT1120 and at least one
of the corresponding computing and programming courses INF1000/INF1110
or MAT-INF1100/MAT-INF1100L/BIOS1100/KJM-INF1100. Most universities
offer nowadays a basic programming course (often compulsory) where
Python is the recurring programming language.
<p>
<!-- !split --><br><br><br><br><br><br><br><br><br><br>
<h2 id="___sec6">Learning outcomes </h2>
<p>
<div class="alert alert-block alert-block alert-text-normal">
<b></b>
<p>
<p>
This course aims at giving you insights and knowledge about many of the central algorithms used in Data Analysis and Machine Learning. The course is project based and through various numerical projects, normally three, you will be exposed to fundamental research problems in these fields, with the aim to reproduce state of the art scientific results. Both supervised and unsupervised methods will be covered. The emphasis is on a frequentist approach, although we will try to link it with a Bayesian approach as well. You will learn to develop and structure large codes for studying different cases where Machine Learning is applied to, get acquainted with computing facilities and learn to handle large scientific projects. A good scientific and ethical conduct is emphasized throughout the course. More specifically, after this course you will
<ul>
<li> Learn about basic data analysis, statistical analysis, Bayesian statistics, Monte Carlo sampling, data optimization and machine learning</li>
<li> Be capable of extending the acquired knowledge to other systems and cases</li>
<li> Have an understanding of central algorithms used in data analysis and machine learning</li>
<li> Gain knowledge of central aspects of Monte Carlo methods, Markov chains, Gibbs samplers and their possible applications</li>
<li> Understand linear methods for regression and classification, from ordinary least squares, via Lasso and Ridge to Logistic regression</li>
<li> Learn about various neural networks and deep learning methods for supervised and unsupervised learning</li>
<li> Learn about about decision trees and random forests</li>
<li> Learn about support vector machines and kernel transformations</li>
<li> Reduction of data sets, from PCA to clustering, supervised and unsupervided methods</li>
<li> Work on numerical projects to illustrate the theory. The projects play a central role and you are expected to know modern programming languages like Python or C++</li>
<li> Learn about basic data analysis, statistical analysis, Bayesian statistics, Monte Carlo sampling, data optimization and machine learning;</li>
<li> Be capable of extending the acquired knowledge to other systems and cases;</li>
<li> Have an understanding of central algorithms used in data analysis and machine learning;</li>
<li> Understand linear methods for regression and classification, from ordinary least squares, via Lasso and Ridge to Logistic regression;</li>
<li> Learn about neural networks and deep learning methods for supervised and unsupervised learning. Emphasis on feed forward neural networks, convolutional and recurrent neural networks;</li>
<li> Learn about about decision trees, random forests, bagging and boosting methods;</li>
<li> Learn about support vector machines and kernel transformations;</li>
<li> Reduction of data sets, from PCA to clustering;</li>
<li> Autoencoders and Reinforcement Learning;</li>
<li> Work on numerical projects to illustrate the theory. The projects play a central role and you are expected to know modern programming languages like Python or C++ and/or Fortran (Fortran2003 or later).</li>
</ul>
</div>
@@ -270,22 +288,34 @@ Projects are handed in using devilry.ifi.uio.no. We use Github as repository for
<p>
<!-- !split --><br><br><br><br><br><br><br><br><br><br>
<h2 id="___sec6">Topics covered in this course: Statistical analysis and optimization of data </h2>
<h2 id="___sec7">Topics covered in this course: Statistical analysis and optimization of data </h2>
<p>
The course has two central parts
<ol>
<li> Statistical analysis and optimization of data</li>
<li> Machine learning</li>
</ol>
These topics will be scattered thorughout the course and may not necessarily be taught separately. Rather, we will often take an approach (during the lectures and project/exercise sessions) where say elements from statistical data analysis are mixed with specific Machine Learning algorithms
<p>
<div class="alert alert-block alert-block alert-text-normal">
<b></b>
<b>Statistical analysis and optimization of data.</b>
<p>
<p>
The following topics will be covered
<ul>
<li> Basic concepts, expectation values, variance, covariance, correlation functions and errors</li>
<li> Simpler models, binomial distribution, the Poisson distribution, simple and multivariate normal distributions</li>
<li> Central elements of Bayesian statistics and modeling</li>
<li> Gradient methods for data optimization</li>
<li> Monte Carlo methods, Markov chains, Metropolis-Hastings algorithm</li>
<li> Linear methods for regression and classification</li>
<li> Estimation of errors using cross-validation, blocking, bootstrapping and jackknife methods</li>
<li> Practical optimization using Singular-value decomposition and least squares for parameterizing data</li>
<li> Basic concepts, expectation values, variance, covariance, correlation functions and errors;</li>
<li> Simpler models, binomial distribution, the Poisson distribution, simple and multivariate normal distributions;</li>
<li> Central elements of Bayesian statistics and modeling;</li>
<li> Gradient methods for data optimization,</li>
<li> Monte Carlo methods, Markov chains, Gibbs sampling and Metropolis-Hastings sampling;</li>
<li> Estimation of errors and resampling techniques such as the cross-validation, blocking, bootstrapping and jackknife methods;</li>
<li> Principal Component Analysis (PCA) and its mathematical foundation</li>
</ul>
</div>
@@ -293,7 +323,7 @@ Projects are handed in using devilry.ifi.uio.no. We use Github as repository for
<p>
<!-- !split --><br><br><br><br><br><br><br><br><br><br>
<h2 id="___sec7">Topics covered in this course: Machine Learning </h2>
<h2 id="___sec8">Topics covered in this course: Machine Learning </h2>
<p>
<div class="alert alert-block alert-block alert-text-normal">
@@ -302,21 +332,25 @@ Projects are handed in using devilry.ifi.uio.no. We use Github as repository for
The following topics will be covered
<ul>
<li> Linear Regression and Logistic Regression</li>
<li> Neural networks and deep learning</li>
<li> Decisions trees and nearest neighbor algorithms</li>
<li> Linear Regression and Logistic Regression;</li>
<li> Neural networks and deep learning, including convolutional and recurrent neural networks</li>
<li> Decisions trees, Random Forests, Bagging and Boosting</li>
<li> Support vector machines</li>
<li> Bayesian Neural Networks</li>
<li> Bayesian linear and logistic regression</li>
<li> Boltzmann Machines</li>
<li> Dimensionality reduction, from PCA to cluster models</li>
<li> Unsupervised learning Dimensionality reduction, from PCA to cluster models</li>
</ul>
Hands-on demonstrations, exercises and projects aim at deepening your understanding of these topics.
</div>
<p>
<!-- !split --><br><br><br><br><br><br><br><br><br><br>
<h2 id="___sec8">Extremely useful tools, strongly recommended </h2>
<h2 id="___sec9">Extremely useful tools, strongly recommended </h2>
<p>
<div class="alert alert-block alert-block alert-text-normal">
@@ -324,9 +358,8 @@ The following topics will be covered
<p>
<ul>
<li> GIT for version control, highly recommended</li>
<li> Devilry for handing in projects, next week</li>
<li> Anaconda and other Python environments, see intro slides</li>
<li> GIT for version control, and GitHub or GitLab as repositories, highly recommended. This will be discussed during the first exercise session</li>
<li> Anaconda and other Python environments, see intro slides and first exercise session</li>
</ul>
</div>
@@ -334,7 +367,7 @@ The following topics will be covered
<p>
<!-- !split --><br><br><br><br><br><br><br><br><br><br>
<h2 id="___sec9">Other courses on Data science and Machine Learning at UiO </h2>
<h2 id="___sec10">Other courses on Data science and Machine Learning at UiO </h2>
<p>
The link here <a href="https://www.mn.uio.no/english/research/about/centre-focus/innovation/data-science/studies/" target="_blank"><tt>https://www.mn.uio.no/english/research/about/centre-focus/innovation/data-science/studies/</tt></a> gives an excellent overview of courses on Machine learning at UiO.
@@ -358,7 +391,7 @@ The link here <a href="https://www.mn.uio.no/english/research/about/centre-focus
<center style="font-size:80%">
<!-- copyright --> &copy; 1999-2019, Morten Hjorth-Jensen. Released under CC Attribution-NonCommercial 4.0 license
<!-- copyright --> &copy; 1999-2020, Morten Hjorth-Jensen. Released under CC Attribution-NonCommercial 4.0 license
</center>
Binary file not shown.
+78 -55
View File
@@ -8,10 +8,10 @@ DATE: today
===== Overview of first week =====
!bblock
* Thursday August 22: First lecture: Presentation of the course, aims and content
* Thursday: Second Lecture: Start with simple linear regression and repetition of linear algebra
* Friday August 23: Linear regression
* Computer lab: Tuesday. First time: Tuesday August 27.
* Thursday August 20: First lecture: Presentation of the course, aims and content
* Thursday: Second Lecture: Start with simple linear regression and repetition of linear algebra and elements of statistics
* Friday August 21: Linear regression
* Computer lab: Wednesdays, 8am-6pm. First time: Wednesday August 26.
!eblock
@@ -19,12 +19,10 @@ DATE: today
===== Lectures and ComputerLab =====
!bblock
* Lectures: Thursday (2.15pm-4pm, this may change) and Friday (12.15pm-2pm).
* Weekly reading assignments needed to solve projects and exercises.
* Lectures: Thursday (12.15pm-2pm and Friday (12.15pm-2pm). Due to the present COVID-19 situation all lectures will be online. They will be recorded and posted online at the official UiO "website":"https://www.uio.no/studier/emner/matnat/fys/FYS-STK4155/h20/index.html".
* Weekly reading assignments and videos needed to solve projects and exercises.
* Weekly exercises when not working on projects. You can hand in exercises if you want.
* First hour of each lab session may be used to discuss technicalities, address questions etc linked with projects and exercises.
* Detailed lecture notes, exercises, all programs presented, projects etc can be found at the homepage of the course.
* Computerlab: Tuesday (8am-4pm), VB IT-auditorium 3. Depending on how many enlist we may extend the lab sessions
* Weekly plans and all other information are on the official webpage.
* No final exam, three projects that are graded and have to be approved.
!eblock
@@ -49,29 +47,24 @@ DATE: today
!split
===== Teachers and ComputerLab =====
===== Teachers =====
!bblock
_Teachers :_
* Morten Hjorth-Jensen, morten.hjorth-jensen@fys.uio.no
* _Phone_: +47-48257387
* _Office_: Department of Physics, University of Oslo, Eastern wing, room FØ470
* _Office hours_: *Anytime*! In Fall Semester 2020 (FS20), as a rule of thumb office hours are planned via computer or telephone. Individual or group office hours will be performed via zoom. Feel free to send an email for planning. In person meetings may also be possible if allowed by the University of Oslo's COVID-19 instructions.
o "Hanna Svennevik":"https://www.researchgate.net/profile/Hanna_Svennevik"
o "Morten Hjorth-Jensen":"http://mhjgit.github.io/info/doc/web/"
o "Lucas Charpentier":"https://no.linkedin.com/in/lucas-charpentier-176206171"
o "Stian Bilek":"https://www.researchgate.net/profile/Stian_Bilek"
o "Øyvind Sigmundson Schøyen":"https://github.com/Schoyen"
* Øyvind Sigmundson Schøyen, oyvinssc@student.matnat.uio.no
* _Office_: Department of Physics, University of Oslo, Eastern wing, room FØ452
* Michael Bitney, m.s.bitney@fys.uio.no
* Kristian Wold, kriswold@student.matnat.uio.no
* Nicolai Haug, nicoha@student.matnat.uio.no
* Per-Dimitri Sønsteland, perdimitri.bs@gmail.com
|------------------------------------------------------|
| day | Time |
|----------------------------------------------------|
| Group 1: Tuesday | 8am-10am |
| Group 2: Tuesday | 10am-12pm |
| Group 3: Tuesday | 12pm-2pm |
| Group 4: Tuesday | 2pm-4pm |
|-------------------------------------------------|
!eblock
!split
@@ -79,46 +72,74 @@ o "Øyvind Sigmundson Schøyen":"https://github.com/Schoyen"
!bblock
o Project 1: September 30 (graded with feedback)
o Project 2: November 13 (graded with feedback)
o Project 3: December 15 (graded with feedback)
o Project 1: September 28 (graded with feedback)
o Project 2: November 2 (graded with feedback)
o Project 3: December 7 (graded with feedback)
Projects are handed in using devilry.ifi.uio.no. We use Github as repository for codes, benchmark calculations etc. Comments and feedback on projects only via devilry.
Projects are handed in using _Canvas_. We use Github as repository for codes, benchmark calculations etc. Comments and feedback on projects only via _Canvas_.
!eblock
!split
===== Prerequisites =====
Basic knowledge in programming and mathematics, with an emphasis on
linear algebra. Knowledge of Python or/and C++ as programming
languages is strongly recommended and experience with Jupiter notebook
is recommended. Required courses are the equivalents to the University
of Oslo mathematics courses MAT1100, MAT1110, MAT1120 and at least one
of the corresponding computing and programming courses INF1000/INF1110
or MAT-INF1100/MAT-INF1100L/BIOS1100/KJM-INF1100. Most universities
offer nowadays a basic programming course (often compulsory) where
Python is the recurring programming language.
!split
===== Learning outcomes =====
!bblock
* Learn about basic data analysis, statistical analysis, Bayesian statistics, Monte Carlo sampling, data optimization and machine learning
* Be capable of extending the acquired knowledge to other systems and cases
* Have an understanding of central algorithms used in data analysis and machine learning
* Gain knowledge of central aspects of Monte Carlo methods, Markov chains, Gibbs samplers and their possible applications
* Understand linear methods for regression and classification, from ordinary least squares, via Lasso and Ridge to Logistic regression
* Learn about various neural networks and deep learning methods for supervised and unsupervised learning
* Learn about about decision trees and random forests
* Learn about support vector machines and kernel transformations
* Reduction of data sets, from PCA to clustering, supervised and unsupervided methods
* Work on numerical projects to illustrate the theory. The projects play a central role and you are expected to know modern programming languages like Python or C++
This course aims at giving you insights and knowledge about many of the central algorithms used in Data Analysis and Machine Learning. The course is project based and through various numerical projects, normally three, you will be exposed to fundamental research problems in these fields, with the aim to reproduce state of the art scientific results. Both supervised and unsupervised methods will be covered. The emphasis is on a frequentist approach, although we will try to link it with a Bayesian approach as well. You will learn to develop and structure large codes for studying different cases where Machine Learning is applied to, get acquainted with computing facilities and learn to handle large scientific projects. A good scientific and ethical conduct is emphasized throughout the course. More specifically, after this course you will
* Learn about basic data analysis, statistical analysis, Bayesian statistics, Monte Carlo sampling, data optimization and machine learning;
* Be capable of extending the acquired knowledge to other systems and cases;
* Have an understanding of central algorithms used in data analysis and machine learning;
* Understand linear methods for regression and classification, from ordinary least squares, via Lasso and Ridge to Logistic regression;
* Learn about neural networks and deep learning methods for supervised and unsupervised learning. Emphasis on feed forward neural networks, convolutional and recurrent neural networks;
* Learn about about decision trees, random forests, bagging and boosting methods;
* Learn about support vector machines and kernel transformations;
* Reduction of data sets, from PCA to clustering;
* Autoencoders and Reinforcement Learning;
* Work on numerical projects to illustrate the theory. The projects play a central role and you are expected to know modern programming languages like Python or C++ and/or Fortran (Fortran2003 or later).
!eblock
!split
===== Topics covered in this course: Statistical analysis and optimization of data =====
!bblock
* Basic concepts, expectation values, variance, covariance, correlation functions and errors
* Simpler models, binomial distribution, the Poisson distribution, simple and multivariate normal distributions
* Central elements of Bayesian statistics and modeling
* Gradient methods for data optimization
* Monte Carlo methods, Markov chains, Metropolis-Hastings algorithm
* Linear methods for regression and classification
* Estimation of errors using cross-validation, blocking, bootstrapping and jackknife methods
* Practical optimization using Singular-value decomposition and least squares for parameterizing data
The course has two central parts
o Statistical analysis and optimization of data
o Machine learning
These topics will be scattered thorughout the course and may not necessarily be taught separately. Rather, we will often take an approach (during the lectures and project/exercise sessions) where say elements from statistical data analysis are mixed with specific Machine Learning algorithms
!bblock Statistical analysis and optimization of data
The following topics will be covered
* Basic concepts, expectation values, variance, covariance, correlation functions and errors;
* Simpler models, binomial distribution, the Poisson distribution, simple and multivariate normal distributions;
* Central elements of Bayesian statistics and modeling;
* Gradient methods for data optimization,
* Monte Carlo methods, Markov chains, Gibbs sampling and Metropolis-Hastings sampling;
* Estimation of errors and resampling techniques such as the cross-validation, blocking, bootstrapping and jackknife methods;
* Principal Component Analysis (PCA) and its mathematical foundation
!eblock
@@ -127,13 +148,16 @@ Projects are handed in using devilry.ifi.uio.no. We use Github as repository for
!bblock
The following topics will be covered
* Linear Regression and Logistic Regression
* Neural networks and deep learning
* Decisions trees and nearest neighbor algorithms
* Linear Regression and Logistic Regression;
* Neural networks and deep learning, including convolutional and recurrent neural networks
* Decisions trees, Random Forests, Bagging and Boosting
* Support vector machines
* Bayesian Neural Networks
* Bayesian linear and logistic regression
* Boltzmann Machines
* Dimensionality reduction, from PCA to cluster models
* Unsupervised learning Dimensionality reduction, from PCA to cluster models
Hands-on demonstrations, exercises and projects aim at deepening your understanding of these topics.
!eblock
@@ -141,9 +165,8 @@ The following topics will be covered
===== Extremely useful tools, strongly recommended =====
!bblock and discussed at the lab sessions
* GIT for version control, highly recommended
* Devilry for handing in projects, next week
* Anaconda and other Python environments, see intro slides
* GIT for version control, and GitHub or GitLab as repositories, highly recommended. This will be discussed during the first exercise session
* Anaconda and other Python environments, see intro slides and first exercise session
!eblock
+1 -1
View File
@@ -47,7 +47,7 @@ system doconce format html $name --html_style=bootstrap --pygments_html_style=de
system doconce split_html $html.html --method=split --pagination --nav_button=bottom
# IPython notebook
system doconce format ipynb $name $opt
#system doconce format ipynb $name $opt
# Ordinary plain LaTeX document
+123
View File
@@ -0,0 +1,123 @@
import tensorflow.compat.v1 as tf
tf.disable_v2_behavior()
tf.reset_default_graph()
# import necessary packages
import numpy as np
import matplotlib.pyplot as plt
from sklearn import datasets
# ensure the same random numbers appear every time
np.random.seed(0)
plt.rcParams['figure.figsize'] = (12,12)
# download MNIST dataset
digits = datasets.load_digits()
# define inputs and labels
inputs = digits.images
labels = digits.target
print("inputs = (n_inputs, pixel_width, pixel_height) = " + str(inputs.shape))
print("labels = (n_inputs) = " + str(labels.shape))
# flatten the image
# the value -1 means dimension is inferred from the remaining dimensions: 8x8 = 64
n_inputs = len(inputs)
inputs = inputs.reshape(n_inputs, -1)
print("X = (n_inputs, n_features) = " + str(inputs.shape))
# choose some random images to display
indices = np.arange(n_inputs)
random_indices = np.random.choice(indices, size=5)
for i, image in enumerate(digits.images[random_indices]):
plt.subplot(1, 5, i+1)
plt.axis('off')
plt.imshow(image, cmap=plt.cm.gray_r, interpolation='nearest')
plt.title("Label: %d" % digits.target[random_indices[i]])
plt.show()
from keras.utils import to_categorical
from sklearn.model_selection import train_test_split
# one-hot representation of labels
labels = to_categorical(labels)
# split into train and test data
train_size = 0.8
test_size = 1 - train_size
X_train, X_test, Y_train, Y_test = train_test_split(inputs, labels, train_size=train_size,
test_size=test_size)
epochs = 100
batch_size = 100
n_neurons_layer1 = 100
n_neurons_layer2 = 50
n_categories = 10
eta_vals = np.logspace(-5, 1, 7)
lmbd_vals = np.logspace(-5, 1, 7)
from keras.models import Sequential
from keras.layers import Dense
from keras.regularizers import l2
from keras.optimizers import SGD
def create_neural_network_keras(n_neurons_layer1, n_neurons_layer2, n_categories, eta, lmbd):
model = Sequential()
model.add(Dense(n_neurons_layer1, activation='sigmoid', kernel_regularizer=l2(lmbd)))
model.add(Dense(n_neurons_layer2, activation='sigmoid', kernel_regularizer=l2(lmbd)))
model.add(Dense(n_categories, activation='softmax'))
sgd = SGD(lr=eta)
model.compile(loss='categorical_crossentropy', optimizer=sgd, metrics=['accuracy'])
return model
DNN_keras = np.zeros((len(eta_vals), len(lmbd_vals)), dtype=object)
for i, eta in enumerate(eta_vals):
for j, lmbd in enumerate(lmbd_vals):
DNN = create_neural_network_keras(n_neurons_layer1, n_neurons_layer2, n_categories,eta=eta, lmbd=lmbd)
DNN.fit(X_train, Y_train, epochs=epochs, batch_size=batch_size, verbose=0)
scores = DNN.evaluate(X_test, Y_test)
DNN_keras[i][j] = DNN
print("Learning rate = ", eta)
print("Lambda = ", lmbd)
print("Test accuracy: %.3f" % scores[1])
print()
import seaborn as sns
sns.set()
train_accuracy = np.zeros((len(eta_vals), len(lmbd_vals)))
test_accuracy = np.zeros((len(eta_vals), len(lmbd_vals)))
for i in range(len(eta_vals)):
for j in range(len(lmbd_vals)):
DNN = DNN_keras[i][j]
train_accuracy[i][j] = DNN.evaluate(X_train, Y_train)[1]
test_accuracy[i][j] = DNN.evaluate(X_test, Y_test)[1]
fig, ax = plt.subplots(figsize = (10, 10))
sns.heatmap(train_accuracy, annot=True, ax=ax, cmap="viridis")
ax.set_title("Training Accuracy")
ax.set_ylabel("$\eta$")
ax.set_xlabel("$\lambda$")
plt.show()
fig, ax = plt.subplots(figsize = (10, 10))
sns.heatmap(test_accuracy, annot=True, ax=ax, cmap="viridis")
ax.set_title("Test Accuracy")
ax.set_ylabel("$\eta$")
ax.set_xlabel("$\lambda$")
plt.show()