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@jmxpearson
Created February 25, 2019 02:29
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Eigenvalues and vectors of covariance matrix of natural scenes
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"\n",
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"C = np.load(\"covariance-16x16.npy\")"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x1a15d3dbe0>"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"text/plain": [
"<Figure size 600x400 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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YplWbWes01hApsRCoGp7UWq425KohX6+82MTCakCs0UtRrorl216EGg0Lrame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\nAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 400x400 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure()\n",
"plt.matshow(C, cmap='gray')"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"(vals, vecs) = np.linalg.eig(C)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x1a15df0a90>]"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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acToMS4ZMlNYW57LxYCvWWo629vLrl0+yfm8zLx5tA2B2bCXLUDXFuYQiFmNg\nRX0pD/12L2FruXlhNVdML6WpM8DbLq+jLN9DOGLxeVxsevC6pOsfrxTsIgnyJtWKGX3EHu81yS13\nPL9VMa/12ENn/ORQmOOmyx+kPxyhMCfxeCj2eegLhqMbnyVRf3OXn8rYmu7KQi/NXX4MhuoFQ0fs\nProDIRZ/+neDE7sLagv56yun8YZLKqktzj3nuDWxxxbWFvGpW+dz01f+CMC9K+u5bFrpOc/PNgp2\nkQQN3QRsNIF4I/bYMYZbyz7QY0+mFeNxOnA6TEKtmO4hV5l2Demx5581Yu/0hwiEwlQMs248nhJf\n9KrX9t4gVUXJBHuAyoJoiFcV5hAMW8CesdRxWX0J5fkeVs0sZ3l9Katmlo944RFAbXH09VfOLGde\nTSG3LKrmlZNdLJ9aknBtmUzBLpKgwR77CBcYDYg3Yh+YGE1VK8YYg8/jTHi5o8fpoCzPM3jF6dkj\n9oIcF6dO9dAXDDNzmEnJeAavPu3rH/ES/VA4wtYjbbxwqJXDp3rY3dA5uKplIKynlOZy/ZA9Z5bW\nlbDlk9cnXAvAvOoi8jxO3rQguj3xw3cuIRSJnPeVpZlGwS6SIE8yI/Zg/AuUgGG3FfCfx6oYiI7w\nR9rjfUBPIESe10l+juuMHvvQVka0FROiJxBKuscO0NYzfJ89ErF86ZlX+c5zh+j0hzAGKvK9XDd3\nEu9aFd1k7JrZFfz6A1cxp6pgxD1eElFX5mPnp28YXFnjcTnwMPomadlCwS6SoMErTxMYsQ+0Ys65\ng5JrYMR+7jF6z2NVDECex0VPgq2Y/BwX+V4XXbFVMd2BIAU5r00+FuS46egL0hcMJ7yGHYa2Yl67\nSMlay5HTvfxp/yl+/XIjzx84zY3zq1izpIZVs8oHrxYdYIxhXk1hwu85mom826OCXSRBrlg/uz+c\nwKqYgRH7Oa2YaNAPN2I/nwuUosdMbMTe5Q+R73VTkOPmWGv0Ss5zJk9zXYPfYM5nxP6HfS3sbepi\nX1MXLx3rGFzbXlOUwydvnsu7Vk2b0IE7VhTsIknwuhwJX6DkMOB2nhliXlf8HntfnPbNaBIdsfcE\nQuR7nRR4o60Yay3d5yx3fC3Mkx2xe5wOHtt8DGOgviyPxVOKeN81M6KTnWU+BfoYSkmwG2M+AjwE\nVFhrT6XimCLjUaI3tI7ePcl5TpgNhHYgzojdYc7dX2Y0uR5nQvu0dAdClOd7BnvsgVCEYNiesypm\nwOumlyVcQ47byRPvXwnAjIr8pOcJJLUuONiNMVOA64GjF16OyPjmcSY+Yj97qSO8NjE6bCsmtrNj\nsiPbPK+TE+0jt2KstXT5g0xWaS6uAAAHO0lEQVQt88U27ApyzzdfAKBgSCvm+rmTeP81M7h3Zf0Z\nSw4TkQlXZE4UqRixfxH4KPBkCo4lMq553YmN2ONdqDPaOvbzGenmul1xe+z7m7v54QtHWbfrJCfa\n+7hmTiXvXFkP1vLUnmbK872D+6AAlOR5+OiNlyRdg4wvFxTsxpjbgBPW2pdGG2UYY+4H7geoq6u7\nkLcVSZtER+zRG16fO2J3OR24HGb4Hnv/+QV7ntc5bI/9q+v389C6vXhcDq6aWc4Hrp3JzYtqyPe6\n+PDqOXx49Zyk30syw6jBbox5Gqga5o8eBD4BrE7kjay1a4G1AMuXL7dJ1CgybnhczgsasUN01Uu8\nVTHJroiBaHuntz+MtZbNh9tYu+Eg7b39bDnSxi2Lqvn0bfOHvfuQZK9Rg91aO+zOOMaYhcA0YGC0\nPhnYZoy5zFp7MqVViowTXpcj4U3AvHFC2ut2xm/FnEew53lc9IciXPP5ZzlyupfyfA+1JT7esmwy\nn7l94eCFVTJxnHcrxlr7MjC4GbEx5jCwXKtiJJt5ElzuGAiG465uyfU4zmnFBMMRGjv6Bi/0ScbU\nMh8OA1NKfPzNNTO5ZXH14A04ZGLSpy+SBK/Lccb2t/H4Q/G3vc1xvXZ7vGOtvXzn+cNsO9rGvqZu\n/u2OhUnXtGZJLTcuqEroxssyMaQs2K219ak6lsh45XU5ON2d2Ig9p2D4vnaO28nzB07z/h9s5end\nzWCgrtTHZ25fwFsvO7+FBQp1GUojdpEkeFyOhLftjddj7+kP0dEX5IWDrYN37BlpR0SRZCnYRZLg\ndTlHnDzt6Avy+NbjNHX64+79/eHrZ7O/uZv3XDWdPK/+CUrq6W+VSBJGWsf+m5cb+ejjO+gKhJhZ\nmc9NsX3Gz3bLopqLWaKIgl0kGcOtijnZ4eeR9a/y/Y1HubSumH9Zs0CX10taKdhFkuAdsgmYtZYv\nPrWPb2w4SCRi+asrpvLgzXOT3p1RJNUU7CJJGBixN3f6+crvo6P02xbX8JHVc6gr86W7PBFAwS6S\nFK/LSShiuexfnwHgXaum8cmb52qvcRlXFOwiSQjb6DZHy6eW8JnbFzKnqmCUV4iMPQW7SBJuW1xD\nIBjmQ9fN1s0kZNxSsIskYWZlPh+/aW66yxAZkbZ9ExHJMgp2EZEso2AXEckyCnYRkSyjYBcRyTIK\ndhGRLKNgFxHJMgp2EZEsY2zsEukxfVNjWoAj5/nycmAi3TBb55u9JtK5gs43FaZaaytGe1Jagv1C\nGGO2WGuXp7uOsaLzzV4T6VxB5zuW1IoREckyCnYRkSyTicG+Nt0FjDGdb/aaSOcKOt8xk3E9dhER\nGVkmjthFRGQEGRXsxpgbjTF7jTH7jTEfS3c9qWaMOWyMedkYs90YsyX2WKkx5iljzKuxX0vSXef5\nMsY8aoxpNsbsHPLYsOdnor4S+6x3GGOWpq/y8xPnfD9ljDkR+4y3G2NuGvJnH4+d715jzA3pqfr8\nGGOmGGPWG2P2GGN2GWM+GHs8Kz/fEc53fHy+1tqM+A9wAgeA6YAHeAmYl+66UnyOh4Hysx77HPCx\n2NcfAz6b7jov4PyuBpYCO0c7P+Am4DeAAa4AXkh3/Sk6308BHxnmufNif6e9wLTY33Vnus8hiXOt\nBpbGvi4A9sXOKSs/3xHOd1x8vpk0Yr8M2G+tPWit7QceA9akuaaxsAb4buzr7wJ/kcZaLoi1dgPQ\netbD8c5vDfDfNmojUGyMqR6bSlMjzvnGswZ4zFobsNYeAvYT/TufEay1jdbabbGvu4A9QC1Z+vmO\ncL7xjOnnm0nBXgscG/L744z8PzITWeB3xpitxpj7Y49NstY2QvQvE1CZtuoujnjnl82f9wOx9sOj\nQ1prWXO+xph64FLgBSbA53vW+cI4+HwzKdjNMI9l25KeK621S4E3AX9jjLk63QWlUbZ+3l8HZgBL\ngEbgC7HHs+J8jTH5wE+BD1lrO0d66jCPZcP5jovPN5OC/TgwZcjvJwMNaarlorDWNsR+bQZ+RvRH\ntaaBH1Fjvzanr8KLIt75ZeXnba1tstaGrbUR4L947cfxjD9fY4ybaMj9wFr7ROzhrP18hzvf8fL5\nZlKwbwZmGWOmGWM8wN3AL9JcU8oYY/KMMQUDXwOrgZ1Ez/He2NPuBZ5MT4UXTbzz+wXwjtjqiSuA\njoEf6TPZWX3k24l+xhA937uNMV5jzDRgFrBprOs7X8YYA3wL2GOtfXjIH2Xl5xvvfMfN55vu2eUk\nZ6JvIjr7fAB4MN31pPjcphOdNX8J2DVwfkAZ8AzwauzX0nTXegHn+D9EfzwNEh3BvCve+RH90fWr\nsc/6ZWB5uutP0fl+L3Y+O4j+Y68e8vwHY+e7F3hTuutP8lxXEW0t7AC2x/67KVs/3xHOd1x8vrry\nVEQky2RSK0ZERBKgYBcRyTIKdhGRLKNgFxHJMgp2EZEso2AXEckyCnYRkSyjYBcRyTL/H7vmM6QG\neJLjAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 600x400 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure()\n",
"plt.plot(np.log(vals))"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([ 136.06990051, 16.02467155, 14.42786312, 6.90655136,\n",
" 6.54029274, 5.63628626, 3.82437873, 3.60703754,\n",
" 3.08810377, 2.88554358], dtype=float32)"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"vals[:10]"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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zZ6LdAehRJGf35us999yT8cgA7NfLOXaQHu0I5CnJleGflHS/pG+a2SuSzkp6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\n",
"text/plain": [
"<Figure size 1200x800 with 6 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(12, 8))\n",
"\n",
"for i in range(6):\n",
" ax = plt.subplot('23' + str(i+1))\n",
" ax.matshow(vecs[:, i].reshape(16, 16), cmap='gray');\n",
"\n",
"# ax = plt.subplot(232)\n",
"# ax.matshow(vecs[:, 1].reshape(16, 16), cmap='gray');\n",
"\n",
"# ax = plt.subplot(233)\n",
"# ax.matshow(vecs[:, 2].reshape(16, 16), cmap='gray');"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python [anaconda]",
"language": "python",
"name": "Python [anaconda]"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.6"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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