diff --git a/doc/.DS_Store b/doc/.DS_Store index 85cde44c2..9455e510c 100644 Binary files a/doc/.DS_Store and b/doc/.DS_Store differ diff --git a/doc/Textbooks/2018_Book_SupervisedLearningWithQuantumC.pdf b/doc/Textbooks/2018_Book_SupervisedLearningWithQuantumC.pdf new file mode 100644 index 000000000..0025c2cd0 Binary files /dev/null and b/doc/Textbooks/2018_Book_SupervisedLearningWithQuantumC.pdf differ diff --git a/doc/pub/Regression/ipynb/Regression.ipynb b/doc/pub/Regression/ipynb/Regression.ipynb index 04601b404..a22ba7fcf 100644 --- a/doc/pub/Regression/ipynb/Regression.ipynb +++ b/doc/pub/Regression/ipynb/Regression.ipynb @@ -379,9 +379,7 @@ { "cell_type": "code", "execution_count": 1, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", @@ -886,9 +884,7 @@ { "cell_type": "code", "execution_count": 2, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "# matrix inversion to find beta\n", @@ -907,9 +903,7 @@ { "cell_type": "code", "execution_count": 3, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "fit = np.linalg.lstsq(X, Energies, rcond =None)[0]\n", @@ -926,9 +920,7 @@ { "cell_type": "code", "execution_count": 4, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "Masses['Eapprox'] = ytilde\n", @@ -958,9 +950,7 @@ { "cell_type": "code", "execution_count": 5, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "def R2(y_data, y_model):\n", @@ -977,9 +967,7 @@ { "cell_type": "code", "execution_count": 6, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "print(R2(Energies,ytilde))" @@ -995,9 +983,7 @@ { "cell_type": "code", "execution_count": 7, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "def MSE(y_data,y_model):\n", @@ -1017,9 +1003,7 @@ { "cell_type": "code", "execution_count": 8, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "def RelativeError(y_data,y_model):\n", @@ -1415,9 +1399,7 @@ { "cell_type": "code", "execution_count": 9, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "# Common imports\n", @@ -1536,9 +1518,7 @@ { "cell_type": "code", "execution_count": 10, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "import os\n", @@ -1654,11 +1634,19 @@ }, { "cell_type": "code", - "execution_count": 11, - "metadata": { - "collapsed": false - }, - "outputs": [], + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/usr/local/lib/python3.7/site-packages/matplotlib/__init__.py:886: MatplotlibDeprecationWarning: \n", + "examples.directory is deprecated; in the future, examples will be found relative to the 'datapath' directory.\n", + " \"found relative to the 'datapath' directory.\".format(key))\n" + ] + } + ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt \n", @@ -1676,11 +1664,20 @@ }, { "cell_type": "code", - "execution_count": 12, - "metadata": { - "collapsed": false - }, - "outputs": [], + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "dict_keys(['data', 'target', 'feature_names', 'DESCR', 'filename'])" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "from sklearn.datasets import load_boston\n", "\n", @@ -1700,10 +1697,8 @@ }, { "cell_type": "code", - "execution_count": 13, - "metadata": { - "collapsed": false - }, + "execution_count": 3, + "metadata": {}, "outputs": [], "source": [ "boston = pd.DataFrame(boston_dataset.data, columns=boston_dataset.feature_names)\n", @@ -1720,11 +1715,34 @@ }, { "cell_type": "code", - "execution_count": 14, - "metadata": { - "collapsed": false - }, - "outputs": [], + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "CRIM 0\n", + "ZN 0\n", + "INDUS 0\n", + "CHAS 0\n", + "NOX 0\n", + "RM 0\n", + "AGE 0\n", + "DIS 0\n", + "RAD 0\n", + "TAX 0\n", + "PTRATIO 0\n", + "B 0\n", + "LSTAT 0\n", + "MEDV 0\n", + "dtype: int64" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "# check for missing values in all the columns\n", "boston.isnull().sum()" @@ -1739,11 +1757,20 @@ }, { "cell_type": "code", - "execution_count": 15, - "metadata": { - "collapsed": false - }, - "outputs": [], + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "# set the size of the figure\n", "sns.set(rc={'figure.figsize':(11.7,8.27)})\n", @@ -1762,11 +1789,30 @@ }, { "cell_type": "code", - "execution_count": 16, - "metadata": { - "collapsed": false - }, - "outputs": [], + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "# compute the pair wise correlation for all columns \n", "correlation_matrix = boston.corr().round(2)\n", @@ -1785,9 +1831,7 @@ { "cell_type": "code", "execution_count": 17, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "plt.figure(figsize=(20, 5))\n", @@ -1815,9 +1859,7 @@ { "cell_type": "code", "execution_count": 18, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "X = pd.DataFrame(np.c_[boston['LSTAT'], boston['RM']], columns = ['LSTAT','RM'])\n", @@ -1834,9 +1876,7 @@ { "cell_type": "code", "execution_count": 19, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "from sklearn.model_selection import train_test_split\n", @@ -1860,9 +1900,7 @@ { "cell_type": "code", "execution_count": 20, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "from sklearn.linear_model import LinearRegression\n", @@ -1901,9 +1939,7 @@ { "cell_type": "code", "execution_count": 21, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "# plotting the y_test vs y_pred\n", @@ -2682,9 +2718,7 @@ { "cell_type": "code", "execution_count": 22, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", @@ -3272,9 +3306,7 @@ { "cell_type": "code", "execution_count": 23, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "# Importing various packages\n", @@ -3297,9 +3329,7 @@ { "cell_type": "code", "execution_count": 24, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", @@ -4462,9 +4492,7 @@ { "cell_type": "code", "execution_count": 25, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "from numpy import *\n", @@ -4605,9 +4633,7 @@ { "cell_type": "code", "execution_count": 26, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "from numpy import *\n", @@ -4753,9 +4779,7 @@ { "cell_type": "code", "execution_count": 27, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", @@ -4984,9 +5008,7 @@ { "cell_type": "code", "execution_count": 28, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", @@ -5055,9 +5077,7 @@ { "cell_type": "code", "execution_count": 29, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", @@ -5156,9 +5176,7 @@ { "cell_type": "code", "execution_count": 30, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "\"\"\"\n", @@ -5244,9 +5262,7 @@ { "cell_type": "code", "execution_count": 31, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "# Common imports\n", @@ -5340,9 +5356,7 @@ { "cell_type": "code", "execution_count": 32, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "# Common imports\n", @@ -5424,9 +5438,7 @@ { "cell_type": "code", "execution_count": 33, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", @@ -5507,9 +5519,7 @@ { "cell_type": "code", "execution_count": 34, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", @@ -5622,9 +5632,7 @@ { "cell_type": "code", "execution_count": 35, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "X = np.zeros((n, L ** 2))\n", @@ -5688,9 +5696,7 @@ { "cell_type": "code", "execution_count": 36, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "X_train_own = np.concatenate(\n", @@ -5706,9 +5712,7 @@ { "cell_type": "code", "execution_count": 37, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "def ols_inv(x: np.ndarray, y: np.ndarray) -> np.ndarray:\n", @@ -5793,9 +5797,7 @@ { "cell_type": "code", "execution_count": 38, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "def ols_svd(x: np.ndarray, y: np.ndarray) -> np.ndarray:\n", @@ -5806,9 +5808,7 @@ { "cell_type": "code", "execution_count": 39, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "beta = ols_svd(X_train_own,y_train)" @@ -5824,9 +5824,7 @@ { "cell_type": "code", "execution_count": 40, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "J = beta[1:].reshape(L, L)" @@ -5842,9 +5840,7 @@ { "cell_type": "code", "execution_count": 41, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "fig = plt.figure(figsize=(20, 14))\n", @@ -5910,9 +5906,7 @@ { "cell_type": "code", "execution_count": 42, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", @@ -6018,9 +6012,7 @@ { "cell_type": "code", "execution_count": 43, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "X = np.zeros((n, L ** 2))\n", @@ -6050,9 +6042,7 @@ { "cell_type": "code", "execution_count": 44, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "clf = skl.LinearRegression().fit(X_train, y_train)" @@ -6068,9 +6058,7 @@ { "cell_type": "code", "execution_count": 45, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "J_sk = clf.coef_.reshape(L, L)" @@ -6086,9 +6074,7 @@ { "cell_type": "code", "execution_count": 46, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "fig = plt.figure(figsize=(20, 14))\n", @@ -6144,9 +6130,7 @@ { "cell_type": "code", "execution_count": 47, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "_lambda = 0.1\n", @@ -6197,9 +6181,7 @@ { "cell_type": "code", "execution_count": 48, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "clf_lasso = skl.Lasso(alpha=_lambda).fit(X_train, y_train)\n", @@ -6233,9 +6215,7 @@ { "cell_type": "code", "execution_count": 49, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "lambdas = np.logspace(-4, 5, 10)\n", @@ -6298,9 +6278,7 @@ { "cell_type": "code", "execution_count": 50, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "fig = plt.figure(figsize=(20, 14))\n", @@ -6345,7 +6323,25 @@ ] } ], - "metadata": {}, + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.5" + } + }, "nbformat": 4, "nbformat_minor": 2 } diff --git a/doc/pub/odenn/ipynb/odenn.ipynb b/doc/pub/odenn/ipynb/odenn.ipynb index 227975582..71a981190 100644 --- a/doc/pub/odenn/ipynb/odenn.ipynb +++ b/doc/pub/odenn/ipynb/odenn.ipynb @@ -638,10 +638,40 @@ { "cell_type": "code", "execution_count": 1, - "metadata": { - "collapsed": false - }, - "outputs": [], + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/usr/local/lib/python3.7/site-packages/autograd/numpy/numpy_vjps.py:444: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n", + " return lambda g: g[idxs]\n", + "/usr/local/lib/python3.7/site-packages/autograd/numpy/numpy_boxes.py:13: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n", + " def __getitem__(A, idx): return A[idx]\n", + "/usr/local/lib/python3.7/site-packages/autograd/numpy/numpy_vjps.py:597: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n", + " onp.add.at(A, idx, x)\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Initial cost: 367.01\n", + "Final cost: 0.0666807\n", + "Max absolute difference: 0.0437499\n" + ] + }, + { + "data": { + "image/png": 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\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "import autograd.numpy as np\n", "from autograd import grad, elementwise_grad\n", @@ -1060,11 +1107,29 @@ }, { "cell_type": "code", - "execution_count": 3, - "metadata": { - "collapsed": false - }, - "outputs": [], + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Initial cost: 0.221805\n", + "Final cost: 0.000417932\n", + "The max absolute difference between the solutions is: 0.00424909\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "import autograd.numpy as np\n", "from autograd import grad, elementwise_grad\n", @@ -1322,11 +1387,41 @@ }, { "cell_type": "code", - "execution_count": 4, - "metadata": { - "collapsed": false - }, - "outputs": [], + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Initial cost: 0.221805\n", + "Final cost: 0.000417932\n", + "The max absolute difference between the solutions is: 0.00424909\n", + "Max absolute difference between Euler method and analytical: 0.011225\n", + "Max absolute difference between deep neural network and analytical: 0.00424909\n" + ] + }, + { + "data": { + "image/png": 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\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "# Assume that all function definitions from the example program using Autograd\n", "# are located here.\n", @@ -1441,13 +1536,44 @@ }, { "cell_type": "code", - "execution_count": 5, - "metadata": { - "collapsed": false - }, - "outputs": [], + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "WARNING:tensorflow:From /usr/local/lib/python3.7/site-packages/tensorflow_core/python/compat/v2_compat.py:65: disable_resource_variables (from tensorflow.python.ops.variable_scope) is deprecated and will be removed in a future version.\n", + "Instructions for updating:\n", + "non-resource variables are not supported in the long term\n", + "WARNING:tensorflow:From :46: dense (from tensorflow.python.layers.core) is deprecated and will be removed in a future version.\n", + "Instructions for updating:\n", + "Use keras.layers.Dense instead.\n", + "WARNING:tensorflow:From /usr/local/lib/python3.7/site-packages/tensorflow_core/python/layers/core.py:187: Layer.apply (from tensorflow.python.keras.engine.base_layer) is deprecated and will be removed in a future version.\n", + "Instructions for updating:\n", + "Please use `layer.__call__` method instead.\n", + "Initial cost: 2.48635\n", + "Final cost: 0.00207475\n", + "\n", + "Max absolute difference between the analytical solution and solution from TensorFlow DNN: 0.00887326\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ - "import tensorflow as tf\n", + "import tensorflow.compat.v1 as tf\n", + "tf.disable_v2_behavior()\n", + "tf.reset_default_graph()\n", + "#import tensorflow as tf\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", @@ -1708,9 +1834,7 @@ { "cell_type": "code", "execution_count": 6, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "import autograd.numpy as np\n", @@ -2016,9 +2140,7 @@ { "cell_type": "code", "execution_count": 7, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "import autograd.numpy as np\n", @@ -2241,9 +2363,7 @@ { "cell_type": "code", "execution_count": 8, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "import tensorflow as tf\n", @@ -2620,9 +2740,7 @@ { "cell_type": "code", "execution_count": 9, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "def sigmoid(z):\n", @@ -2705,9 +2823,7 @@ { "cell_type": "code", "execution_count": 10, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "# Set up the trial function:\n", @@ -2774,9 +2890,7 @@ { "cell_type": "code", "execution_count": 11, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "import autograd.numpy as np\n", @@ -3134,9 +3248,7 @@ { "cell_type": "code", "execution_count": 12, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "import autograd.numpy as np\n", @@ -3378,9 +3490,7 @@ { "cell_type": "code", "execution_count": 13, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "import tensorflow as tf\n", @@ -3561,7 +3671,25 @@ ] } ], - "metadata": {}, + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.5" + } + }, "nbformat": 4, "nbformat_minor": 2 }