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@nicococo
Last active December 15, 2017 09:41
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{
"cells": [
{
"cell_type": "code",
"execution_count": 126,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from sklearn.linear_model import Lars"
]
},
{
"cell_type": "code",
"execution_count": 222,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Number of positive/negative examples:"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
" 495 505\nData mean positive class: [ 0.55964723 0.26867115 0.01491576 -0.00258761]\nData mean negative class: [-0.57095324 -0.27409885 -0.01521709 0.00263989]\n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x114f60198>"
]
},
"execution_count": 222,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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aEy+sPER6cRVBXs7Mu6x7g30lBiMaYQ1iFwv1xHCRc3PQ88aMvgwOaT6dQVu5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\nAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x114f60208>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"y = np.random.randint(low=0, high=2, size=1000)\n",
"X = 0.25*np.random.randn(4*y.size).reshape(4, y.size)\n",
"# induce class membership into first two components\n",
"X[0, :] += 2*y - 1\n",
"X[1, :] = 0.25*X[0, :] + 0.75*X[1, :]\n",
"# ...and some normalization\n",
"X -= np.mean(X, axis=1)[:, np.newaxis]\n",
"X /= np.max(np.abs(X), axis=1)[:, np.newaxis]\n",
"print('Number of positive/negative examples:', np.sum(y==0), np.sum(y==1))\n",
"print('Data mean positive class: ', np.mean(X[:,y==1], axis=1))\n",
"print('Data mean negative class: ', np.mean(X[:,y==0], axis=1))\n",
"plt.scatter(X[0, :], X[1, :], y+1)"
]
},
{
"cell_type": "code",
"execution_count": 226,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Problem-centric, model-based explanation: [[ 0.82871122 0.66661931 0.05289172 -0.00511387]]\nProblem-centric, instance-based explanation for x_5: [[ -4.17034565e-01 -9.30474286e-02 -1.96516557e-03 -1.09940677e-04]]\nMethod-centric, model-based explanation: [[ 0.82871122 0. 0. 0. ]]\nMethod-centric, instance-based explanation for x_5: [[-0.41703456 -0. -0. 0. ]]\n"
]
},
{
"data": {
"image/png": 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N8Q3gGuDmGcr8xPZFVS4YEdGYFs/Aq7Ih6Y8lrR5/KBER49WF6dDnSXpY0h2S3jqskKQt\n0+P2/vG5gzVdOiKiopqmQ49DHcn4AeDNtt8O/Cnw/WEFbW+1vdb22jf81tIaLh0RUVHVRLxQk7Ht\n522/UL7eDiyRtHzEj0VEzCsxqxl4827OyVjSmySpfL2urHP/XOuNiKhbm5NxlaFt3wbWU8zVngC+\nCCwBsH0dcDHwCUmHgJeAzbZb3E0eEZ3V4sxUZTTFJSPOX0Mx9C0iot0WcjKOiDgqtHynjyTjiOiO\nJOOIiObVNR16HJKMI6Iz0k0REdG0Bid0VJFkHBHdkWQcEdGs6Rl4bZVkHBGdoan2ZuMk44johvQZ\nR0S0Q7opIiLaIMk4IqJ5aRlHRLRBknFERMNq3B16HJKMI6ITMs44IqItWrzvRZJxRHRGWsYREU1r\n+aSPkRuSSrpR0l5JvxxyXpK+JmmPpEcknVN/mBERc6epakcTquwO/Q1gwwznLwDWlMcW4OtzDysi\non4LOhnb/jHw7AxFNgE3u3APcJKkFXUFGBFRC1M8wKtyNKBKy3iUU4Ene95PlJ8dRtIWSTsl7fzH\n5w7WcOmIiOrkakcT6niApwGfDfx1bG8FtgKsffsyf2H5YzVcfuH7r/v+edMhtMexS5uOoDUWLc29\neM0rNdXT4gd4dSTjCWBVz/uVwFM11BsRUZu2T/qoo5tiG/CRclTFucAB20/XUG9ERH1sNFXtaEKV\noW3fBn4G/I6kCUmXSfoDSX9QFtkOPAHsAa4H/nBs0UZEzIUrHiNI2iDp8XJI7xUDzn9W0qPlcN+/\nlvTmUXWO7KawfcmI8wY+OaqeiIim1dFNIWkxcC3wPopu2vskbbP9aE+xB4G1tl+U9Angj4Hfn6ne\nOropIiLaz8CUqx0zWwfssf2E7YPALRRDfF+/lH2X7RfLt/dQPEubUZJxRHRH9W6K5dPDcMtjS08t\nlYfzli4D7hgVWtamiIjOmEU3xT7ba4dVM+CzgTVL+hCwFvjdURdMMo6IzqhppESl4byS3gv8J+B3\nbY8cKZ1uiojohqpdFKPz9X3AGkmnS1oKbKYY4vsaSWcD/wPYaHtvlfDSMo6ITigmfcy9ZWz7kKTL\ngR3AYuBG27skXQ3stL0N+G/A8cD/lATwD7Y3zlRvknFEdEdNK7LZ3k4xx6L3s6t6Xr93tnUmGUdE\nZ9TRMh6XJOOI6IaW7/SRZBwRHdHcuhNVJBlHRHekmyIiomFubkulKpKMI6I70jKOiGiB9ubiJOOI\n6A5NtbefIsk4IrrB1DbpYxySjCOiE4Qz6SMiohVanIwrrdpWYb+nSyU9I+mh8vh4/aFGRMyRXe1o\nwMiWccX9ngButX35GGKMiJi7o6DP+LX9ngAkTe/31J+MIyJarc2jKap0U1Td7+kD5bbUt0laNeB8\nRESDKnZRNNRNUSUZV9nv6QfAattvA34I3DSwImnL9AZ/z+yfnF2kERFzYRZ8Mh6535Pt/T17PF0P\nvHNQRba32l5re+0pJy8+kngjIo7cVMWjAVWScZX9nlb0vN0I7K4vxIiIesiudDRh5AO8ivs9fUrS\nRuAQ8Cxw6Rhjjog4Mi0eZ1xp0keF/Z6uBK6sN7SIiBrZMNne0RSZgRcR3bHQW8YREUeFJOOIiIYZ\nyB54ERFNMzh9xhERzTJ5gBcR0QrpM46IaIEk44iIpjW37kQVScYR0Q0GWryEZpJxRHRHWsYREU3L\ndOiIiOYZnHHGEREtkBl4EREt0OI+4yqLy0dELHx2MZqiyjGCpA2SHpe0R9IVA84fK+nW8vy9klaP\nqjPJOCK6o4Y98CQtBq4FLgDOBC6RdGZfscuA52yfAXwV+PKo0JKMI6IjjCcnKx0jrAP22H7C9kHg\nFmBTX5lNvL4x823AeyQN2tz5NUnGEdEN00toVjlg+fRO9uWxpaemU4Ene95PlJ8xqIztQ8AB4OSZ\nwssDvIjojupD2/bZXjvk3KAWbn/fRpUy/59KLeNxdFZHRMwnA55ypWOECWBVz/uVwFPDykg6BjiR\nYrPmoUYm43F1VkdEzCuXi8tXOWZ2H7BG0umSlgKbgW19ZbYBHy1fXwz8yJ75yWCVlvFYOqsjIuZb\nHQ/wyj7gy4EdwG7gO7Z3Sbpa0say2A3AyZL2AJ8FDutR6Felz3hQZ/W7hpWxfUjSdGf1vt5CZSf4\ndEf4K4tX/OqXFa4/bsvpi3P+/aoFMQCtuBetiAHaEUcbYoB2xPE7c63gNzy344e+bXnF4jP+vra3\nA9v7Pruq5/XLwAdnE1+VZFxbZ7XtrcBWAEk7Z+ggnzdtiKMNMbQljjbE0JY42hBDW+KQtHOuddje\nUEcs41Klm2IsndUREfG6Ksl4LJ3VERHxupHdFGUf8HRn9WLgxunOamCn7W0UndXfLDurn6VI2KNs\nnUPcdWpDHG2IAdoRRxtigHbE0YYYoB1xtCGGsVIasBERzct06IiIFkgyjohogbEn4zZMpa4Qw6WS\nnpH0UHl8fAwx3Chpr6SBY6tV+FoZ4yOSzqk7hopxrJd0oOdeXDWo3BxjWCXpLkm7Je2S9OkBZcZ6\nPyrGMB/3Ypmkn0t6uIzjSwPKjPU7UjGGsX9Heq61WNKDkm4fcO7oXXrB9tgOigd+fwv8M2Ap8DBw\nZl+ZPwSuK19vBm5tIIZLgWvGfC/+JXAO8Msh5y8E7qAYs30ucG9DcawHbh/zvVgBnFO+PgH43wP+\nPxnr/agYw3zcCwHHl6+XAPcC5/aVGfd3pEoMY/+O9Fzrs8BfDLr3474XTR7jbhm3YSp1lRjGzvaP\nmXns9SbgZhfuAU6StKKBOMbO9tO2Hyhf/4ZiSmn/EoRjvR8VYxi78vd7oXy7pDz6n6qP9TtSMYZ5\nIWkl8H7gz4YUOWqXXhh3Mh7Lup9jiAHgA+Wfw7dJWjXg/LhVjXM+nFf+yXqHpLeO80Lln5lnU7TG\nes3b/ZghBpiHe1H+Wf4QsBe40/bQezGm70iVGGB+viN/AvwRMGy1nrHfi6aMOxmPZd3PMcTwA2C1\n7bcBP+T1f3nn07jvQ1UPAG+2/XbgT4Hvj+tCko4Hvgt8xvbz/acH/Ejt92NEDPNyL2xP2n4HxezW\ndZLO6g9z0I/Ncwxj/45IugjYa/v+mYoN+OyoGJ877mTchqnUI2Owvd/2K+Xb64F31nj9qqrcq7Gz\n/fz0n6wuFkNZIqnq4iqVSVpCkQS/Zft7A4qM/X6MimG+7kXP9X4N3A30r6Ewb8sNDIthnr4j5wMb\nJf09RXfiuyX9eV+Zo3bphXEn4zZMpR4ZQ19f5EaK/sP5tg34SDmK4FzggO2n5zsISW+a7oOTtI7i\nv5H9NV9DFLM2d9v+ypBiY70fVWKYp3txiqSTytfHAe8FHusrNtbvSJUY5uM7YvtK2yttr6b4nv7I\n9of6ih21Sy+Mddslj28qdd0xfErFOqSHyhgurTMGAEnfpng6v1zSBPBFigcl2L6OYjm+C4E9wIvA\nx+qOoWIcFwOfkHQIeAnYPIb/2M8HPgz8ouynBPg8cFpPHOO+H1VimI97sQK4ScUmDoso1sa9fT6/\nIxVjGPt3ZJh5vheNyXToiIgWyAy8iIgWSDKOiGiBJOOIiBZIMo6IaIEk44iIFkgyjohogSTjiIgW\n+H+UQncLtBV/qAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x117a0e5f8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"f = Lars(n_nonzero_coefs=1, fit_intercept=False, fit_path=False, normalize=False)\n",
"f.fit(X.T, y)\n",
"w = f.coef_\n",
"C = np.corrcoef(X)\n",
"plt.pcolor(np.corrcoef(X))\n",
"plt.colorbar()\n",
"print('Problem-centric, model-based explanation:', w.dot(C))\n",
"print('Problem-centric, instance-based explanation for x_5:', w.dot(C)*X[:,5])\n",
"print('Method-centric, model-based explanation:', w)\n",
"print('Method-centric, instance-based explanation for x_5:', w*X[:,5])"
]
},
{
"cell_type": "code",
"execution_count": 228,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Number of positive/negative predictions: 497 503\n[[ 274.3542021 129.40883383 4.16940005 -4.41790071]]\n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x117dcf198>"
]
},
"execution_count": 228,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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Cvfh+Ww49w7woqDRxzYcbQUCwpxMa4dhMZ0zXP9NDX/fxJsxWRybSq/qFN7uX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\nck2/EJ795QDXDwzllz0n+OjWgUzpc2alSBXnjry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Xuvq70T3AjYXb0hge6UsXv/ryB7/v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\nAKAIAwBFGAAowgBAEQYAijAAUBYBmmzeDi2rdAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x117c3f278>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"yt = np.random.randint(low=0, high=2, size=1000)\n",
"Xt = 0.25*np.random.randn(4*yt.size).reshape(4, yt.size)\n",
"# induce class membership into first two components\n",
"Xt[0, :] += 2*yt - 1\n",
"Xt[1, :] = 0.25*Xt[0, :] + 0.75*Xt[1, :]\n",
"# ...and some normalization\n",
"Xt -= np.mean(Xt, axis=1)[:, np.newaxis]\n",
"Xt /= np.max(np.abs(Xt), axis=1)[:, np.newaxis]\n",
"scores = f.predict(Xt.T)\n",
"print('Number of positive/negative predictions: ', np.sum(scores>=0), np.sum(scores<0))\n",
"print(scores.T.dot(Xt.T))\n",
"plt.scatter(Xt[0, :], Xt[1, :], yt+1)"
]
},
{
"cell_type": "code",
"execution_count": 227,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Number of positive/negative predictions: 499 501\n[[ 276.90036554 -3.71305287 -2.17099419 5.16830032]]\n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x117c9cbe0>"
]
},
"execution_count": 227,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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zWHzVoGb3nbLLqtmZWMR1I7rbJJRUZzCx8kg2g0N9OZ5VznN/nuTFuf25bXwP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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x117c4fdd8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"Xt = 2*np.random.rand(4, 1000) - 1\n",
"scores = f.predict(Xt.T)\n",
"print('Number of positive/negative predictions: ', np.sum(scores>=0), np.sum(scores<0))\n",
"print(scores.T.dot(Xt.T))\n",
"plt.scatter(Xt[0, :], Xt[1, :], yt+1)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"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": "3.6.3"
}
},
"nbformat": 4,
"nbformat_minor": 1
}
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