diff --git a/doc/pub/NeuralNet/html/figslides/cnn.jpeg b/doc/pub/NeuralNet/html/figslides/cnn.jpeg
new file mode 100644
index 000000000..67bf3ced7
Binary files /dev/null and b/doc/pub/NeuralNet/html/figslides/cnn.jpeg differ
diff --git a/doc/pub/NeuralNet/html/figslides/nn.jpeg b/doc/pub/NeuralNet/html/figslides/nn.jpeg
new file mode 100644
index 000000000..0a495cfe4
Binary files /dev/null and b/doc/pub/NeuralNet/html/figslides/nn.jpeg differ
diff --git a/doc/pub/NeuralNet/ipynb/NeuralNet.ipynb b/doc/pub/NeuralNet/ipynb/NeuralNet.ipynb
index 85ac78395..200fd1111 100644
--- a/doc/pub/NeuralNet/ipynb/NeuralNet.ipynb
+++ b/doc/pub/NeuralNet/ipynb/NeuralNet.ipynb
@@ -597,9 +597,7 @@
{
"cell_type": "code",
"execution_count": 1,
- "metadata": {
- "collapsed": false
- },
+ "metadata": {},
"outputs": [],
"source": [
"%matplotlib inline\n",
@@ -1691,9 +1689,7 @@
{
"cell_type": "code",
"execution_count": 2,
- "metadata": {
- "collapsed": false
- },
+ "metadata": {},
"outputs": [],
"source": [
"# import necessary packages\n",
@@ -1760,9 +1756,7 @@
{
"cell_type": "code",
"execution_count": 3,
- "metadata": {
- "collapsed": false
- },
+ "metadata": {},
"outputs": [],
"source": [
"from sklearn.model_selection import train_test_split\n",
@@ -1884,9 +1878,7 @@
{
"cell_type": "code",
"execution_count": 4,
- "metadata": {
- "collapsed": false
- },
+ "metadata": {},
"outputs": [],
"source": [
"# building our neural network\n",
@@ -1963,9 +1955,7 @@
{
"cell_type": "code",
"execution_count": 5,
- "metadata": {
- "collapsed": false
- },
+ "metadata": {},
"outputs": [],
"source": [
"# setup the feed-forward pass, subscript h = hidden layer\n",
@@ -2130,9 +2120,7 @@
{
"cell_type": "code",
"execution_count": 6,
- "metadata": {
- "collapsed": false
- },
+ "metadata": {},
"outputs": [],
"source": [
"# to categorical turns our integer vector into a onehot representation\n",
@@ -2231,9 +2219,7 @@
{
"cell_type": "code",
"execution_count": 7,
- "metadata": {
- "collapsed": false
- },
+ "metadata": {},
"outputs": [],
"source": [
"class NeuralNetwork:\n",
@@ -2356,9 +2342,7 @@
{
"cell_type": "code",
"execution_count": 8,
- "metadata": {
- "collapsed": false
- },
+ "metadata": {},
"outputs": [],
"source": [
"epochs = 100\n",
@@ -2392,9 +2376,7 @@
{
"cell_type": "code",
"execution_count": 9,
- "metadata": {
- "collapsed": false
- },
+ "metadata": {},
"outputs": [],
"source": [
"eta_vals = np.logspace(-5, 1, 7)\n",
@@ -2429,9 +2411,7 @@
{
"cell_type": "code",
"execution_count": 10,
- "metadata": {
- "collapsed": false
- },
+ "metadata": {},
"outputs": [],
"source": [
"# visual representation of grid search\n",
@@ -2491,9 +2471,7 @@
{
"cell_type": "code",
"execution_count": 11,
- "metadata": {
- "collapsed": false
- },
+ "metadata": {},
"outputs": [],
"source": [
"from sklearn.neural_network import MLPClassifier\n",
@@ -2524,9 +2502,7 @@
{
"cell_type": "code",
"execution_count": 12,
- "metadata": {
- "collapsed": false
- },
+ "metadata": {},
"outputs": [],
"source": [
"# optional\n",
@@ -2609,9 +2585,7 @@
{
"cell_type": "code",
"execution_count": 13,
- "metadata": {
- "collapsed": false
- },
+ "metadata": {},
"outputs": [],
"source": [
"pip3 install tensorflow"
@@ -2627,9 +2601,7 @@
{
"cell_type": "code",
"execution_count": 14,
- "metadata": {
- "collapsed": false
- },
+ "metadata": {},
"outputs": [],
"source": [
"conda install tensorflow"
@@ -2645,9 +2617,7 @@
{
"cell_type": "code",
"execution_count": 15,
- "metadata": {
- "collapsed": false
- },
+ "metadata": {},
"outputs": [],
"source": [
"# import necessary packages\n",
@@ -2697,9 +2667,7 @@
{
"cell_type": "code",
"execution_count": 16,
- "metadata": {
- "collapsed": false
- },
+ "metadata": {},
"outputs": [],
"source": [
"from keras.utils import to_categorical\n",
@@ -2729,9 +2697,7 @@
{
"cell_type": "code",
"execution_count": 17,
- "metadata": {
- "collapsed": false
- },
+ "metadata": {},
"outputs": [],
"source": [
"import tensorflow as tf\n",
@@ -2877,9 +2843,7 @@
{
"cell_type": "code",
"execution_count": 18,
- "metadata": {
- "collapsed": false
- },
+ "metadata": {},
"outputs": [],
"source": [
"epochs = 100\n",
@@ -2894,9 +2858,7 @@
{
"cell_type": "code",
"execution_count": 19,
- "metadata": {
- "collapsed": false
- },
+ "metadata": {},
"outputs": [],
"source": [
"DNN_tf = np.zeros((len(eta_vals), len(lmbd_vals)), dtype=object)\n",
@@ -2919,9 +2881,7 @@
{
"cell_type": "code",
"execution_count": 20,
- "metadata": {
- "collapsed": false
- },
+ "metadata": {},
"outputs": [],
"source": [
"# optional\n",
@@ -2960,9 +2920,7 @@
{
"cell_type": "code",
"execution_count": 21,
- "metadata": {
- "collapsed": false
- },
+ "metadata": {},
"outputs": [],
"source": [
"# optional\n",
@@ -2986,9 +2944,7 @@
{
"cell_type": "code",
"execution_count": 22,
- "metadata": {
- "collapsed": false
- },
+ "metadata": {},
"outputs": [],
"source": [
"conda install keras"
@@ -3004,9 +2960,7 @@
{
"cell_type": "code",
"execution_count": 23,
- "metadata": {
- "collapsed": false
- },
+ "metadata": {},
"outputs": [],
"source": [
"pip3 install keras"
@@ -3022,9 +2976,7 @@
{
"cell_type": "code",
"execution_count": 24,
- "metadata": {
- "collapsed": false
- },
+ "metadata": {},
"outputs": [],
"source": [
"from keras.models import Sequential\n",
@@ -3047,9 +2999,7 @@
{
"cell_type": "code",
"execution_count": 25,
- "metadata": {
- "collapsed": false
- },
+ "metadata": {},
"outputs": [],
"source": [
"DNN_keras = np.zeros((len(eta_vals), len(lmbd_vals)), dtype=object)\n",
@@ -3072,9 +3022,7 @@
{
"cell_type": "code",
"execution_count": 26,
- "metadata": {
- "collapsed": false
- },
+ "metadata": {},
"outputs": [],
"source": [
"# optional\n",
@@ -3439,7 +3387,25 @@
]
}
],
- "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": "3.7.0"
+ }
+ },
"nbformat": 4,
"nbformat_minor": 2
}
diff --git a/doc/pub/Regression/ipynb/Regression.ipynb b/doc/pub/Regression/ipynb/Regression.ipynb
index b6a28684b..886338f94 100644
--- a/doc/pub/Regression/ipynb/Regression.ipynb
+++ b/doc/pub/Regression/ipynb/Regression.ipynb
@@ -919,9 +919,7 @@
{
"cell_type": "code",
"execution_count": 1,
- "metadata": {
- "collapsed": false
- },
+ "metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
@@ -932,9 +930,7 @@
{
"cell_type": "code",
"execution_count": 2,
- "metadata": {
- "collapsed": false
- },
+ "metadata": {},
"outputs": [],
"source": [
"%matplotlib inline\n",
@@ -980,9 +976,7 @@
{
"cell_type": "code",
"execution_count": 3,
- "metadata": {
- "collapsed": false
- },
+ "metadata": {},
"outputs": [],
"source": [
"# Importing various packages\n",
@@ -1064,9 +1058,7 @@
{
"cell_type": "code",
"execution_count": 4,
- "metadata": {
- "collapsed": false
- },
+ "metadata": {},
"outputs": [],
"source": [
"# Importing various packages\n",
@@ -1203,9 +1195,7 @@
{
"cell_type": "code",
"execution_count": 5,
- "metadata": {
- "collapsed": false
- },
+ "metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
@@ -1250,9 +1240,7 @@
{
"cell_type": "code",
"execution_count": 6,
- "metadata": {
- "collapsed": false
- },
+ "metadata": {},
"outputs": [],
"source": [
"import numpy as np \n",
@@ -1407,9 +1395,7 @@
{
"cell_type": "code",
"execution_count": 7,
- "metadata": {
- "collapsed": false
- },
+ "metadata": {},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n",
@@ -1461,9 +1447,7 @@
{
"cell_type": "code",
"execution_count": 8,
- "metadata": {
- "collapsed": false
- },
+ "metadata": {},
"outputs": [],
"source": [
"# Importing various packages\n",
@@ -1768,9 +1752,7 @@
{
"cell_type": "code",
"execution_count": 9,
- "metadata": {
- "collapsed": false
- },
+ "metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
@@ -1867,9 +1849,7 @@
{
"cell_type": "code",
"execution_count": 10,
- "metadata": {
- "collapsed": false
- },
+ "metadata": {},
"outputs": [],
"source": [
"# Generate Test Data\n",
@@ -1929,9 +1909,7 @@
{
"cell_type": "code",
"execution_count": 11,
- "metadata": {
- "collapsed": false
- },
+ "metadata": {},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n",
@@ -2018,9 +1996,7 @@
{
"cell_type": "code",
"execution_count": 12,
- "metadata": {
- "collapsed": false
- },
+ "metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
@@ -3569,9 +3545,7 @@
{
"cell_type": "code",
"execution_count": 13,
- "metadata": {
- "collapsed": false
- },
+ "metadata": {},
"outputs": [],
"source": [
"from numpy import *\n",
@@ -3692,9 +3666,7 @@
{
"cell_type": "code",
"execution_count": 14,
- "metadata": {
- "collapsed": false
- },
+ "metadata": {},
"outputs": [],
"source": [
"from numpy import *\n",
@@ -4007,9 +3979,7 @@
{
"cell_type": "code",
"execution_count": 15,
- "metadata": {
- "collapsed": false
- },
+ "metadata": {},
"outputs": [],
"source": [
"from sys import argv\n",
@@ -4539,11 +4509,17 @@
},
{
"cell_type": "code",
- "execution_count": 16,
- "metadata": {
- "collapsed": false
- },
- "outputs": [],
+ "execution_count": 13,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "[-0. 4. 4. ... 8. -4. 8.]\n"
+ ]
+ }
+ ],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
@@ -4558,14 +4534,15 @@
"\n",
"L = 40\n",
"n = int(1e4)\n",
- "\n",
+ "#n = 5\n",
"spins = np.random.choice([-1, 1], size=(n, L))\n",
"J = 1.0\n",
"\n",
"energies = np.zeros(n)\n",
"\n",
"for i in range(n):\n",
- " energies[i] = - J * np.dot(spins[i], np.roll(spins[i], 1))"
+ " energies[i] = - J * np.dot(spins[i], np.roll(spins[i], 1))\n",
+ "print(energies) "
]
},
{
@@ -4648,15 +4625,29 @@
},
{
"cell_type": "code",
- "execution_count": 17,
- "metadata": {
- "collapsed": false
- },
- "outputs": [],
+ "execution_count": 14,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "[[ 1. -1. 1. ... -1. -1. 1.]\n",
+ " [ 1. 1. -1. ... -1. -1. 1.]\n",
+ " [ 1. -1. -1. ... -1. -1. 1.]\n",
+ " ...\n",
+ " [ 1. -1. 1. ... 1. -1. 1.]\n",
+ " [ 1. -1. -1. ... 1. 1. 1.]\n",
+ " [ 1. 1. -1. ... 1. -1. 1.]]\n"
+ ]
+ }
+ ],
"source": [
"X = np.zeros((n, L ** 2))\n",
"for i in range(n):\n",
" X[i] = np.outer(spins[i], spins[i]).ravel()\n",
+ "print(X) \n",
+ " \n",
"y = energies\n",
"X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.96)\n",
"\n",
@@ -4807,11 +4798,23 @@
},
{
"cell_type": "code",
- "execution_count": 18,
- "metadata": {
- "collapsed": false
- },
- "outputs": [],
+ "execution_count": 15,
+ "metadata": {},
+ "outputs": [
+ {
+ "ename": "LinAlgError",
+ "evalue": "singular matrix",
+ "output_type": "error",
+ "traceback": [
+ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
+ "\u001b[0;31mLinAlgError\u001b[0m Traceback (most recent call last)",
+ "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mget_ols_weights_naive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mndarray\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0my\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mndarray\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m->\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mndarray\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 2\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mscl\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0minv\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mT\u001b[0m \u001b[0;34m@\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m@\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mT\u001b[0m \u001b[0;34m@\u001b[0m \u001b[0my\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 3\u001b[0;31m \u001b[0momega\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mget_ols_weights_naive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mX_train_own\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0my_train\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
+ "\u001b[0;32m\u001b[0m in \u001b[0;36mget_ols_weights_naive\u001b[0;34m(x, y)\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mget_ols_weights_naive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mndarray\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0my\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mndarray\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m->\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mndarray\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 2\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0mscl\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0minv\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mT\u001b[0m \u001b[0;34m@\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m@\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mT\u001b[0m \u001b[0;34m@\u001b[0m \u001b[0my\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 3\u001b[0m \u001b[0momega\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mget_ols_weights_naive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mX_train_own\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0my_train\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
+ "\u001b[0;32m/usr/local/lib/python3.7/site-packages/scipy/linalg/basic.py\u001b[0m in \u001b[0;36minv\u001b[0;34m(a, overwrite_a, check_finite)\u001b[0m\n\u001b[1;32m 973\u001b[0m \u001b[0minv_a\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0minfo\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mgetri\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mlu\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mpiv\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mlwork\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mlwork\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0moverwrite_lu\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 974\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0minfo\u001b[0m \u001b[0;34m>\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 975\u001b[0;31m \u001b[0;32mraise\u001b[0m \u001b[0mLinAlgError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"singular matrix\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 976\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0minfo\u001b[0m \u001b[0;34m<\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 977\u001b[0m raise ValueError('illegal value in %d-th argument of internal '\n",
+ "\u001b[0;31mLinAlgError\u001b[0m: singular matrix"
+ ]
+ }
+ ],
"source": [
"def get_ols_weights_naive(x: np.ndarray, y: np.ndarray) -> np.ndarray:\n",
" return scl.inv(x.T @ x) @ (x.T @ y)\n",
@@ -4904,10 +4907,8 @@
},
{
"cell_type": "code",
- "execution_count": 19,
- "metadata": {
- "collapsed": false
- },
+ "execution_count": 16,
+ "metadata": {},
"outputs": [],
"source": [
"def get_ols_weights(x: np.ndarray, y: np.ndarray) -> np.ndarray:\n",
@@ -4924,11 +4925,18 @@
},
{
"cell_type": "code",
- "execution_count": 20,
- "metadata": {
- "collapsed": false
- },
- "outputs": [],
+ "execution_count": 17,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "/usr/local/lib/python3.7/site-packages/scipy/linalg/basic.py:1321: RuntimeWarning: internal gelsd driver lwork query error, required iwork dimension not returned. This is likely the result of LAPACK bug 0038, fixed in LAPACK 3.2.2 (released July 21, 2010). Falling back to 'gelss' driver.\n",
+ " x, resids, rank, s = lstsq(a, b, cond=cond, check_finite=False)\n"
+ ]
+ }
+ ],
"source": [
"omega = get_ols_weights(X_train_own,y_train)"
]
@@ -4944,10 +4952,8 @@
},
{
"cell_type": "code",
- "execution_count": 21,
- "metadata": {
- "collapsed": false
- },
+ "execution_count": 18,
+ "metadata": {},
"outputs": [],
"source": [
"clf = skl.LinearRegression().fit(X_train, y_train)"
@@ -4962,10 +4968,8 @@
},
{
"cell_type": "code",
- "execution_count": 22,
- "metadata": {
- "collapsed": false
- },
+ "execution_count": 19,
+ "metadata": {},
"outputs": [],
"source": [
"J_own = omega[1:].reshape(L, L)\n",
@@ -4981,11 +4985,30 @@
},
{
"cell_type": "code",
- "execution_count": 23,
- "metadata": {
- "collapsed": false
- },
- "outputs": [],
+ "execution_count": 20,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
"source": [
"fig = plt.figure(figsize=(20, 14))\n",
"im = plt.imshow(J_own, **cmap_args)\n",
@@ -5073,11 +5096,30 @@
},
{
"cell_type": "code",
- "execution_count": 24,
- "metadata": {
- "collapsed": false
- },
- "outputs": [],
+ "execution_count": 21,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
"source": [
"def get_ridge_weights(x: np.ndarray, y: np.ndarray, _lambda: float) -> np.ndarray:\n",
" return x.T @ y @ scl.inv(\n",
@@ -5142,11 +5184,20 @@
},
{
"cell_type": "code",
- "execution_count": 25,
- "metadata": {
- "collapsed": false
- },
- "outputs": [],
+ "execution_count": 22,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
"source": [
"clf_lasso = skl.Lasso(alpha=_lambda).fit(X_train, y_train)\n",
"J_lasso_sk = clf_lasso.coef_.reshape(L, L)\n",
@@ -5199,10 +5250,8 @@
},
{
"cell_type": "code",
- "execution_count": 26,
- "metadata": {
- "collapsed": false
- },
+ "execution_count": 23,
+ "metadata": {},
"outputs": [],
"source": [
"def r_squared(y, y_hat):\n",
@@ -5218,10 +5267,8 @@
},
{
"cell_type": "code",
- "execution_count": 27,
- "metadata": {
- "collapsed": false
- },
+ "execution_count": 24,
+ "metadata": {},
"outputs": [],
"source": [
"y_hat = clf.predict(X_test)\n",
@@ -5242,11 +5289,29 @@
},
{
"cell_type": "code",
- "execution_count": 28,
- "metadata": {
- "collapsed": false
- },
- "outputs": [],
+ "execution_count": 25,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ " 0%| | 0/10 [00:00"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
"source": [
"lambdas = np.logspace(-4, 5, 10)\n",
"\n",
@@ -5335,11 +5400,20 @@
},
{
"cell_type": "code",
- "execution_count": 29,
- "metadata": {
- "collapsed": false
- },
- "outputs": [],
+ "execution_count": 26,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
"source": [
"fig = plt.figure(figsize=(20, 14))\n",
"\n",
@@ -5388,7 +5462,25 @@
]
}
],
- "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": "3.7.0"
+ }
+ },
"nbformat": 4,
"nbformat_minor": 2
}