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@frankcleary
Last active March 30, 2020 12:36
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Singular Value Decomposition of an Image
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{
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"signature": "sha256:0836e0c5b708599c4c9da90c622e6f63e27724ac85a20c18750629f4c4a0d5c2"
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"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Singular Value Decomposition of an Image"
]
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Frank Cleary | <a href=\"http://www.frankcleary.com\">www.frankcleary.com</a> | See also: <a href=\"http://www.frankcleary.com/svd\">Singular Value Decomposition Introduction</a> | <a href=\"https://gist.github.com/frankcleary/4d2bd178708503b556b0\">Notebook Gist</a>"
]
},
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Introduction"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In my introduction to singular value decomposition (<a href=\"http://www.frankcleary.com/svd\">link to notebook</a>), I mentioned that singular value decomposition has applications in image compression. Here I'll give a bit more explanation of how that works, and showcase some of the tools for manipulating images in python. The key here is that a black and white image is just a matrix where the numbers represent the intensity of a given pixel, which can be decomposed just like any other."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"import time\n",
"\n",
"from PIL import Image"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here I'll load an image I took of Delicate Arch in Arches National Park, and convert it to black and white."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"img = Image.open('input/img_6847.jpg')\n",
"imggray = img.convert('LA')\n",
"plt.figure(figsize=(9, 6))\n",
"plt.imshow(imggray);"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
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kUo2il1xY6v1XKvvfQhcZpFHK2IYnkUdTr6iwThnLEnlyNSbeViQwSg9LmQdT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wweRpYy2HSmjknS3WMDI+5ZJTgL+ox+cf4CY2a0MTMz00Ir3llnj/rQmPkYr10CbVmG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\nXdZlXdZlXdZlXdZlXdZlXZ5k+X8iqvn7vjYcHwAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0xa5ecef0>"
]
}
],
"prompt_number": 2
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now I'll convert the image data into a numpy matrix, plotting the result to show the data is unchanged."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"imgmat = np.array(list(imggray.getdata(band=0)), float)\n",
"imgmat.shape = (imggray.size[1], imggray.size[0])\n",
"imgmat = np.matrix(imgmat)\n",
"plt.figure(figsize=(9,6))\n",
"plt.imshow(imgmat, cmap='gray');"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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e3YrxmitBxBbK6hwGGFG+svZEn5r8FYRAvP07V2/Ub6X4+qllalnOBnViaflq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\nwCCcneLhGP2ZtmNw4/F0HQ11QJTy/8uXL7d9oG3mn5A9+nbt2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imanQLTySaWccS+pyIw\njNTcTOV3al19axjsKD2rw3XoAX2Fl3DKVslkZEf9OEPaYEdiVMjUa0UITidqQDOiY5zY44OeeOkA\ndTqtcUAzMnZa3Ee8mzOp43Oqt8ZfuHChNeIk7Vp7w2zD8gpviU42agQDhENBKhOfTJW5KiWKigGa\nCDMZl3RPAOP//DWRR3HKYqOpSMJHv6EEtNmGZpKXvhnG4uAcrZ3amEPoaxezEH5THDDfp8U7p66k\nJvLweavmLDxDhROrhkQh0toQnALW33BuRlzJ9PyPvmDRx62Qui4sLLT7T2gPcuL/HgfzF1V3jhmE\n7vPf+j0Okb7bgVvX7Fhpx/7+/olWhM7ccX/nz59vld1wD2M3uvCg1wjMgKFsOABWHWLYkE5Jdxkw\nCAflqzD02rVrHcdBO8wHOLIm6bzJrZKRdhSgAQyZdtkJGcYm3QU/drqDQbM+xWdYsk8E+Ioh+RCf\n6myqIY3H4871yNepBcXwnOfR5uFwmM3NzZZ4ZLaM+5IpGev+O9pabq6Dg3UqkWhkWo2V/T6O6rSf\n5/rdqeywJt1g9WjtvwMHDpZ2uz9GMZ4+raSvUxQ/vwYudBInb10ngCwsLPAC6PflJsrwxpe8uMXK\nxyDhMBYXF9sDZjBW2G5fhyJDDHEfc9nO8XwCtHNLYC3rQPxu0IODg85BsSbCDg4O2ohlPsTpSjIl\nH9nNaRjqtKx+l0wjmQ8J5ho+ezZja2urbQfXVLSCLFni7KPvceJGI+PxOKPRqHXUdWaD5zNrUbdy\nYwwLCwvZ3t5uja7uoSCF8IpcxseIoqIPjNBoiLZUZ2Fn6PH0jAvX+R9vcaOdPGd1dTUbGxvZ3Nxs\nnQpt9DjYWdgxOVVGr7jX9WMvVQfpB3rNNegsckvSbsY7SZk5ItTQiWI459zch6mYjDw6Omqdgz2q\nd4YaHfgsUpCHp0IdwZN0DAh4x311dsORgc8VNppAdQrD/81yWzlJBxYWFtozFjA+vy/D8DiZvljZ\nLDp9HI+nC+Sot5KdXhJNwUE4ddzY2GiNFEfqzYJO7zB6R1QCB+MJj2KE4TbZ2eDEKlqzA3D6iR4Y\n9fF88w7D4bCjL0aklVtA7zY3N9t0kZd7m9S3DI0snM7V1JH6QWE+GNqyqTM07pN19SRl5pwGHbSx\nolhECwyMfNg8hz0xzyKaOyqbR7AyUqfhq4VrRWf1oB0PqIFBYoA8bev59KS7QYoBhH8hVTFJafLV\nrDvOojoBE6xGPLTzrrvuytraWlZWVlpl2tzcbNEE/RsMBi3c97s4nMKwobCvj6PRqD1+7rnnnmvr\n29vby97eXs6dO5fPf/7zefvb356VlZUkyZUrV1q0s7S0lNXV1Vy9ejW7u7sZjUbZ2dnJs88+277k\n+syZM7ly5UorH55vZ8yY2+khc0d78zU4DDsH+lXRlVNa1kOALDY2NpKkffGRx5003PpHu2mrnTfj\njo6hM3YwVZcruulzXjcqs0aEfinJD97uRszLvPw/LP+U5K23uxHzMi/zMi/zMi/zMi/zMi/zMi+n\ntLwjyaNJvpHkPbe5LZTHknwlyReTPDL57q4kf5/kv5P8XZI7df1707T/0SRvu8Vt+8MkTyf5qr77\nbtr2xskzvpHkgy9iWx9O8nga2X4xyUMz0Nb7knwuydeS/EeSX558P6tyvV57H87syfb7XhaSXExy\nf5IzaQjRH7idDZqUb6VRGJf3J/n1yef3JPm9yefXpWn3mTT9uJhbuw7mR5P8ULqGeJK2QYI/kuRN\nk8+fSeO8X4y2/laSX+u59na29Z4kb5h83kjyX2n0cFbler323lLZzsrirjel6cBjSfaT/EmSd97O\nBqnUGaafSPKxyeePJXnX5PM7k3wqTfsfS9OfN+XWlX9O8tz30LY3J3lZks1MUdTHdc+tbmvSP3t3\nO9v67TRGlSRbSf4zyb2ZXbler73JLZTtrDiNe5P8r/7/eKadv51lnOSzSf49yc9PvntpGqidyd+X\nTj6/PE27KbejDydtW/3+iby4bX53ki8n+WimkH9W2np/GnT0hZwOud6fpr3/Nvn/LZPtrDiNky1J\ne/HKj6QZiIeS/FIamO0yzgu3/Xb260Ztu93lw0lelQZeP5XkA7e3OZ2ykeTPk/xKkmvlt1mU60aS\nP0vT3q3cYtnOitN4Ig2pQ7kvXc93u8pTk7/PJvmLNOnG02lyyaSBdc9MPtc+vGLy3YtZTtK2xyff\nv6J8/2K1+ZlMDfAjmaZyt7utZ9I4jE8k+fTku1mWK+39Y7V3VmX7fS2LSb6ZBmItZTaI0LU0eV6S\nrCf51zRs8/sznd35jRwnxZbSePlv5tavuL0/x4nQk7btC2ny2kFuHWHX19aX6fOvJvnkDLR1kCaf\n/4Py/azK9XrtnUXZ3pLyUBr292KaaaHbXV6VRsBfSjOdRZvuSsNz9E2//Waa9j+a5O23uH2fSvJk\nkufT8EE/8122jam2i0k+9CK19WfTKPtX0uTdn86UJ7idbX1LkqM0Y8505Tsyu3Lta+9DmU3Zzsu8\nzMu8zMu8zMu8zMu8zMu8zMu8zMu8zMu8zMu8zMu8zMu8zMu8zMu8zMu8zMu8zMu8zMu8zMutLP8H\nDjjwSBDfUewAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0xa645b70>"
]
}
],
"prompt_number": 3
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now to compute the singular value decomposition:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"U, sigma, V = np.linalg.svd(imgmat)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 4
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Computing an approximation of the image using the first column of $U$ and first row of $V$ reproduces the most prominent feature of the image, the light area on top and the dark area on the bottom. The darkness of the arch causes the extra darkness in the middle of the reconstruction. Each column of pixels in this image is a different weighting of the same values, $\\vec{u}_1$:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"reconstimg = np.matrix(U[:, :1]) * np.diag(sigma[:1]) * np.matrix(V[:1, :])\n",
"plt.imshow(reconstimg, cmap='gray');"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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2v+Z1ezSBVI7XDRw8h4luIw/CIfHtCUiUoo9mU8AgFAz0dxRUa0gDNkUoQpqU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\n5Zere2l296sAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x1544a4e0>"
]
}
],
"prompt_number": 5
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Even with just the second and third vectors, the shape of the arch begins to appear."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"for i in xrange(2, 4):\n",
" reconstimg = np.matrix(U[:, :i]) * np.diag(sigma[:i]) * np.matrix(V[:i, :])\n",
" plt.imshow(reconstimg, cmap='gray')\n",
" title = \"n = %s\" % i\n",
" plt.title(title)\n",
" plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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4h7dPHxka5f6FtZZA3yQAVI+Xl9/SL+F+C9c2/Fq8sFabYwzuERJv/TplQsjN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\n/TaP0tGnVLu71+st5WOKtR1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"text": [
"<matplotlib.figure.Figure at 0xa64a2b0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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02/jLWDGhkP6J9uy9KCoUHwTwB+P9PwTwHmSmUWmcOnXKLRRSU8jRX8vwoGkX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\nBTlqTyM5tDabHVuDpdEjw79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"text": [
"<matplotlib.figure.Figure at 0xa619978>"
]
}
],
"prompt_number": 6
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The loop below shows the reconstructed image using the first $n$ vectors of the singular value decomposition ($n$ is shown in the title of the plot). The first 50 vectors produce an image very close the original image, while taking up only $\\frac{50*3900+50+50*2600}{3900*2600} \\approx 3.2\\%$ as much space as the original data."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"for i in xrange(5, 51, 5):\n",
" reconstimg = np.matrix(U[:, :i]) * np.diag(sigma[:i]) * np.matrix(V[:i, :])\n",
" plt.imshow(reconstimg, cmap='gray')\n",
" title = \"n = %s\" % i\n",
" plt.title(title)\n",
" plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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n2EyT+yht8c4C8evKIIUpPgjgfchSXebXgyyNzXtVWc4l+0IAn0KW5maAw1yy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\nU0wxxRRTTDHFFFNMMcUUdcH/B8we2KtfrOSAAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x1544c358>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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PYJmJ6XQ6+b4mjjbpJ+BYQ0jffCObzSZmZ2fz7BwnTpzAiRMncqYCsn1K4oNI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\n+PH+uaETLB+FjckLdDrEqW12a4xS3vI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5/r177rlngGAsYrbs7hhjhMJ/uq3Nzc28rEhX\n7cQKYXY6nTw022w290WMdPSHmUVLQk1IclyeG7cgb0vymMryHRhsIpaJ8Fl1PEfaEmAhxh6F/3Jd\nJVjWkpBtcsucKBtnt24Smz28oKb9DA7HijZh80fO68VAzZDMZJKEgPsRptRZOuTDktHbHcsajM0o\n7tNDSEpb4eZQ5EufD72zj/s4TFSOKRjaiT2IjWZWmzs7OybBcRTJCy2mOMChiA77JNqh9rad8Bj4\nxY/Wvi4d/dImmUbM92BhpbegeOA1kRSf6LBROaaQnaXWBB2kxGDikOiT9iO07+At3MlYY0EAfU4v\neGnpz5sBmbBYuzBEI1gEb2kkDc+m10xs/Q454Bop/lEZlPUrKscUTJyW2j4oaaJveoqP4klHZiiL\nKL2bFdIgWmuwJgtpIDabGLGXtnhjSkGI0azjwzrGo0blmCLlxSGWuh2GWWK7YWP1xN8QZ5zBjBJz\neIFBacv+gGglzQCx92jzt9TjAID2cywCTZmP0HpOrHxI2x4FKscUXkxeztVq+1PVh8wUT4paZQAM\nEDYTD2/lYIeRpbC3rds658HauGdF29jv8BhD3hLK52SLB78STCPGBFaonP0uDk4UQSjUfZioHFOU\ngQ5xMrTJZYVk+b9mSiEeiQDFQq58I5lYtTbSiDGKbCNnBhTCsR6DlcVDLxBggdvxQqp6rFrDWKv3\nqVojZHZ59/YgUDmmKBK3To15h8wsqw29yS+04KVDttKGZh6BjippeITEYVQ+xoEArUVFKzCEwWIm\nqDVGKyEbj1WbijEtrQVJkdDsQTnnQAWZIoX7ZTKs8GKMMbSm0JIW2NvDpFW4pY141TpkkvB4rWv0\nTEMeK//WRGsxTafT2eeHeFvEBdb2dD1GfczaEpOCVH9LR8GkT+lr1L5H5ZhCR1kYHtEPKzEsP8ay\naS3J591QvoaUm++ZWcIoesGMz4euSRNNaK7047Qpi3IWk3J0jBEifE8LWf1qH3DUqBxTAGlmUFGE\nNJAmHG0OxdoKjVcTsLWgZrXT6/XyLRy8ks71Rep7oVQ2AbndmDZmAk/1CzxNzLAIP8UMCp3Xzrll\nshZFJZmiCFInNDRZ2qSw6lhEwXa5luaCoqYEw9IO/F8YJmY+8PlQyFuIyguRhurJd5ENgZ4mCjGW\nRsgnKovnPVNoW9ySjJbTyFKFtYJIUmu9wIOc1wTH0R82ZzxH29ojJeW4bd6XVTRsOQrnNBSSld8W\nY4UCDLoNq6+U8qO4vucFU4T8DEFRZytk8rBJYjGVjtyw1GaC8CRoSIpaUSFuh8dX1MkUZ9x6NwX7\nPrEwckpIlucsFOodxVrEqKNQR7NkWBCWFCpqM1qRIwBYXV01bzIvQhWRbhYx6/PtdnufRtD1RBvw\np8x1A8Dy8nK+zmGZT0zYwwodqb+2tma2p4/pIIA+HyJ4XXbYJ+7yMY2klSMCrxGEnhuwiFv+t9vt\nAUkuRCNEZBEnL6YxeAwh06bdbue/PUKwjku70lcMOzs76Ha7WF1dDWqnWP+snbwP16vX6/lqeqi9\nGMEXBfc5DJ4X5lMReJI7Ju3ZL7Hi9DoOzyYMt+8xg2VScd9WPwIhbiZOfk9ebCGQ58BKeZMS6g7Z\n9sD+p/xqtb3dABZD6jk+qi0dFirHFPx8rRWuZMLV2sFb4Q4xhibSjY0NtFotnDp1CrfccguazSaW\nlpbw3HPP4emnn8b29jZarRampqZw5swZHDt2DLVaDcvLy1haWsqf2puensbMzAzW19fzbBt67PV6\nHZ1OB/V6HY1GA81mM3/GeGZmBs1mE81mE71eD61WK/dZNjY28nlqNptotVr5NYiZVa/XsbCwgNnZ\nWTz00EN45StfiY2NDZw/fx6bm5tYWVkZCE6IhGeINrQca0uDyTF+17e+HxzuZiZlH4nL8bzp34xQ\nqLsoDmadvDweAnDvUQ9ijOsKf44sLdMYY4wxxhhjjDHGGNc/Xossff83ALxthO0+BeDLyF4ZIAme\nTwL4NICvA/gU9nLhAv6rBEL4ALJcu1+hY2X6KPK6AqvPd+HgXpFwFnu5hB8B8NP94wd5nV6fB3md\nlUEdWYbycwAayBzuO0bU9pPIbhzjVwD8u/7vtwH4pf7vO/t9N/pjeRxpaznfAeDbMUigRfqQgMcX\nALys/1teV1Ckz58H8G+NsqPo82ZkCfAAYA7A15Ddo4O8Tq/Pg7zOyizevQzZBTyFLI3/h5Cl9R8V\ndJTtAWSZD9H/fn3/t/UqgZchjs9h7xUFZfp4ObJsjNbrCor0CdgRxVH0eRkZwQFAG8BjyFKjHuR1\nen0e5HVWhileAOBp+i8p/EeBHrKXx3wRwFv6x25CZnqg/y0JbL1XCZRB0T5Kv65A4TBekXAOmZb6\nPA7vOqXPv+z/P7DrrApTHGR+k1chm8zXAfhJZGaH7jvU/yjGFutjVPgNALchMzkuIXtFwqgxB+Aj\nAH4GwKo6d1DXOQfgw/0+2zjg66wKU+gU/mcxyNnD4FL/+yqAjyIzh64gs1eBTLUuOONwXxmQgCJ9\nFHpdQQAL2CPM92PP9BtVnw1kDPG7AB7sHzvo65Q+f4/6POjrrAQmATyBTEU2MTpHewaZLQkAswD+\nL7KIxK9gL8L1dux3DpvIJNETSF/1P4f9jnbRPj6PzAauIe5oW33eQr9/FtlrEUbVZw2ZLf6f1PGD\nvE6vz4O8zkrhdciiC48jC6uNArchm6SHkIX0pN2TyPwMK4z4zv4YvgrgexL7+X0AFwFsI/ONfrhk\nHxI2fBzO+zsCff4IMgL6MjJb+0Hs2fej6PPVyN5q9RD2QqGvPeDrtPp83QFf5xhjjDHGGGOMMcYY\nY4wxxhhjjDHGGGOMMcYYY4wxxhhjjFEV/H/MgCpAJ6V4xAAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x15450518>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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El4hEI5xeJZ6NIhHwvNbq6iqeeuopbG9v46677jqi6qidBPTHTrRct9vNpRXL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\nRgX+f6Qnkk7H9QsjAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x1542e128>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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ruZ8e6bCcU/vV9pSLE/S/PYKtCGifV1YDudvtpp4ttsmzUZQuehTcnr9SJ4C2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\nwhSmMIUpTGEKU5jCFKYwKfD/A6hJXMXUZSdxAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0xa5e60f0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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LsrGxMRSCpSWg4FcqFRw4cADtdjvXet1uN4dg9Xo9h0KVSjbZR4hDCLWyspJf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\npSlNaUpTmtKUpjQp9P8DwRlAXiRQyrwAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0xa616128>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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S5aGvKaFQ8kwo4C9RUO1hB80OYL1eR6fTwalTp/DII4+EvQ/WRwAGk017e3uo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\nuBgOQuv1evuwO8nCDUImbTuvs1yWx+fJ8K1WK1zzzpVVy8P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"text": [
"<matplotlib.figure.Figure at 0xa5f7cc0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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KBj+1Wg0XL17EyZMnUavVcOLECRw/fjzlqFPDagRNw9425Eqyq8jKhIxycQ51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\nEYprAZyS/0zhfxA0RPLymM8A+J/2jp1AAj2w931i73fsVQLjUNk6Sr2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"text": [
"<matplotlib.figure.Figure at 0xa61eda0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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p06fRarUAJMYxVZtqtRr+q0vWPmGmcQFKBB7D6Pf7OH/+fCAuNQ7pcaKUAEbS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\nWayurmJ5eTkgwzPPPINut4uFhYWU52cwSFypzWYz6Plsu1arod1up16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"text": [
"<matplotlib.figure.Figure at 0x1544a7f0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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er9eD9l9ZWcHGxkaAMvQB+GEEi8/QclQqlbC0nEvRaY1UmKgtm80mtra2sLy8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\n8PZW6wBzvoP7wO1ryFgf9TXYh6SYAMR8OSvcVhmQvGXvWd+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"text": [
"<matplotlib.figure.Figure at 0xa6262b0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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SYTAY4GlPexre/OY3uzJWfbK+fh9jsXOuUkaNefu8SmOfN8v3TB41ydbrW9vv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\nRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0xa5dbef0>"
]
}
],
"prompt_number": 7
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"See also: <a href=\"http://www.frankcleary.com/svd\">Singular Value Decomposition Introduction</a>"
]
}
],
"metadata": {}
}
]
}
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