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@LuxXx
Last active January 22, 2021 01:58
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PCA SVD Compression
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{
"cells": [
{
"cell_type": "code",
"execution_count": 2,
"id": "greenhouse-closer",
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import skimage.io\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "several-register",
"metadata": {},
"outputs": [],
"source": [
"imgs = np.fromfile('train-images-idx3-ubyte', dtype=np.uint8)\n",
"imgs = np.reshape(imgs[16:], [-1, 28, 28])"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "municipal-candidate",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(60000, 28, 28)"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"imgs.shape"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "straight-manner",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x1fa02e0a940>"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"skimage.io.imshow(imgs[0].reshape(28, 28))"
]
},
{
"cell_type": "code",
"execution_count": 44,
"id": "known-talent",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x1fa047f9700>]"
]
},
"execution_count": 44,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"data = imgs\n",
"data = data.reshape(60000, 28*28)\n",
"mean = data.mean(axis=0)\n",
"data = data - mean\n",
"Y = np.cov(data.T) / data.shape[0]\n",
"u, s, vh = np.linalg.svd(Y)\n",
"plt.plot(s)"
]
},
{
"cell_type": "code",
"execution_count": 36,
"id": "stylish-console",
"metadata": {},
"outputs": [],
"source": [
"def H(data, d=5):\n",
" data = data.reshape(60000, 28*28)\n",
" mean = data.mean(axis=0)\n",
" data = data - mean\n",
" Y = np.cov(data.T) / data.shape[0]\n",
" u, s, vh = np.linalg.svd(Y)\n",
" return u[:,:d], mean"
]
},
{
"cell_type": "code",
"execution_count": 37,
"id": "fatty-kennedy",
"metadata": {},
"outputs": [],
"source": [
"def proj(x, d=5):\n",
" A, b = H(imgs, d)\n",
" return A.dot(A.T).dot(x-b) + b"
]
},
{
"cell_type": "code",
"execution_count": 63,
"id": "christian-museum",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"for k in range(10, 200, 20):\n",
" plt.figure()\n",
" plt.title('Image ' + str(0) + ', ' + str(k) + ' Principal Components')\n",
" skimage.io.imshow(proj(imgs[0].flatten(), k).reshape(28, 28))"
]
},
{
"cell_type": "code",
"execution_count": 64,
"id": "hybrid-homework",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"for k in range(10, 200, 20):\n",
" plt.figure()\n",
" plt.title('Image ' + str(1) + ', ' + str(k) + ' Principal Components')\n",
" skimage.io.imshow(proj(imgs[1].flatten(), k).reshape(28, 28))"
]
},
{
"cell_type": "code",
"execution_count": 65,
"id": "interracial-bridges",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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uYKCO0FFBrxX3qOX6wtudGdQZYOcL6byv0fH0OlYeke/fTaPp/tuq9BG3YzR32JF+H0MVjlpiIJ1bNprpXLDKANe5E+XRvzBZrhd2ZevItfPu9c+kX59LzgQues2KZPnyhfmf25AyOYe5QeBbMLj6S1bnPD0zq5t+dyJqZnUhJyebWd046JlZbTg52cxqxRcyzKx2HPTMrDZ8IcPMasX33naATF+Q7BtLp14+m0k8Bvj+M3uS5bm8peMWz8vWwXh68OiYf2R2FbmE21wybP/2bdk6Jhak27Eo81a1P584PJEZEHxM6UTtef357b3x+fTA5t9fl94Wy5YvztZx8rIFyfJFO5/IriMG0u9lItNpa8zL3z2hxEC2U7/ZknxHhpnVi/f0zKw2fE7PzGqlF8/p9dbBupm1VouHgJR0naRtkh5smLdM0p2SHin/Li3nS9IfS1ov6X5Jp7XiLTnomVlTQvSr+lTB9cB5U+ZdBdwVEauBu8rnAOcDq8vpcuBTrXhPDnpmltQnVZ5yIuLrwI4psy8Cbigf3wC8pWH+56JwN3CUpHT/XRX4nJ6ZNSWgQpeIs7U8IjaXj7dQjKkNsBLY0LDcxnLeZmah64JeRDo3LZe7tmPfgWwd23anB8Gel/kWVNnN19j+ZHkM5DsRzfQRSt9YOjdtYv4R2SpGFx6dLB/IvFWN57f33kjnpo1nOvCcGEh3Mgpw1yOPJcs33f+tZPnRbzo3W8exuU5CN21IlwNatjK9QDoVsPUEfTO7kDEs6d6G52sjYm3VF0dESGpFf8JNdV3QM7O5U+zpzSjobY+INTOsZqukFRGxuTx8ncwU3wSMNCx3fDlvVnxOz8yaEjCvT5WnQ3QbcFn5+DLg1ob5by+v4r4eeK7hMPiQeU/PzJqTZnp4m1mdvgCcQ3EYvBH4IHANcLOkdwFPABeXi98OXACsB/YC72xFGxz0zKwpQaWrslVFxKVNig46aRrFCfwrWlZ5yUHPzJLm4OrtnHLQM7OmWr2n1wkc9MysOXc4YGZ14j29w2yiQkpibpz5icz47RMVKtkzmu7g8+iF6cThhVU6chxPJ0CP9eWTk8cn0u3cq6Fk+ehgvo6du9LJxUfN70+WL6rQGeqBTM+wizLbc8e+fMew//jtjcny/c89nSx/+XH5RO6B/c+nF+hLbyuAyHWI2pf5biU6CD1UvXZOL7uFZtIrgpn1FlH9vttu2SOs8m/heqr3imBmvaTFXUt1gmzQm2GvCGbWQ4pzetWnbnCo5/Sa9YpwEEmXU/SFxcjISLPFzKwDFbeh9dbdqrN+N2XWdNOrAxGxNiLWRMSa4eHh2VZnZnNJ0N9XfeoGh7qn16xXBDPrIb2YsnKosblZrwhm1lNa3l1822X39GbYK8KsVDkRmovSue5tFs7L50otyCyzdEE6l2pobG+2Dg6k8/Sq5EYdOZTeGgtakGB19IL0tljcl84V7HthX7aOXLZgkN7e67an2wCw5QdbkuVLT3ptsvz8Vx+XrSPbYeqS/OmdGEx3iBp9s0+tTWWqTi3rxT297BacSa8IZtZj1D3n6qrqqDsyzKyz1HJPz8zqrcdinoOemaX10VtRz0HPzJoS3tMzszrxhQwzqxMhH962W64nh8FMbtrCwXyeXi6Xb3FuHZl+7gAYSudj9e3fnV3FktE96XXs3JUsX1RhsG9FpgfDTHn05/vsm1h8TLL8sefS+W+f+voj2Tr2Pbs1Wf7Ks9NDtf7kyiXZOlD6M8u9T4AYzIzmfRj6y8vx4a2Z1Uq39J5SlYOemSX1WMxz0DOz5pycbGa102Mxz0HPzNJ6LGPFQc/MmpNAPbar56BnZkm+emtmtSF6b9zbrgt6ue2f6721yn+teZlPef9YOiF3V38+6Xfx8EnJ8vEKg30PZBJVxxamhyPen+mcE2BPZiDu7ZmBtp/cke9EdPsT6YG2v/xQOrH47jvuzdaRc+Hp6UGrXrY4v61iNL1MroNQIJ98nEsWryD17Z6uzIe3ZlYfXTS0Y1UOemaW1GMxz0HPzJqbHOy7lzjomVlSr53T67W8QzNrock9vapTdn3SeZK+J2m9pKsO+xuYhoOemSVpBlNyPVI/cC1wPnAKcKmkUw5Ts5vy4a2ZJaiVHQ6cDqyPiEcBJN0EXAQ83KoKqui6oJfbhc4lUrZiFPbNu/cny/91S34Hev5AeplNz+c7Ed2+Nz1g+KNPp9exeecL2To2bkuvY1cmD2/hkqFsHa8+aVmy/LENO5PlO9Z/J1vHspNPS5a/ank6t3LeeH5b5fLw9k3kv3uDma9OvgvcFtOMOxwYltSYOLk2ItaWj1cCGxrKNgJnzK6BM9d1Qc/M5o4iUMRMXrI9ItLdULeZg56ZJanK8AfVbAIab305vpw3p3whw8wSorj1reqUdg+wWtKJkgaBS4DbDvtbmMJ7emaWNrPD28RqYkzSlcCXKU5PXhcRD7Vk5TPgoGdmzUW0pJODF1cXtwO3t2yFh8BBz8ySssOAdhkHPTNLc9Drbv0VLt3kkjGfei6ds/X4M3uzdTz9fHodDz66I7uO7U+lB/POWbI0M7A0oExiZC4P78LXn5Ct48IfOzZZ/lfL0vlv6772smwdRxy7Mll+/JL56RWM5fP0RvvS6xgdzwePwVwiai4AtXww8NYe3naC7BaSdJ2kbZIebJh3taRNku4rpwsObzPNrC2CVl697QhV/i1cD5w3zfyPR8Sp5dTWE5NmdrgETExUn7pA9vA2Ir4uadUctMXMOlCvXciYzQmAKyXdXx7+pgdjMLPuFAET49WnLnCoQe9TwCuAU4HNwEebLSjpckn3Srp3+/bth1idmbVNDc/pHSQitkbEeERMAH9K0WVMs2XXRsSaiFgzPDx8qO00szZRTFSeusEhpaxIWhERm8unbwUeTC1vZt2q91JWskFP0heAcyj6ydoIfBA4R9KpFBe0Hwd+5fA10czaqm5BLyIunWb2Zw9DW+ZElU5EF85Ld9U4kEkg3TeRv0H7yIXpgaFPOv7I7DpeuSp9/ejcV6aTfs88IV9Hzt7MYOArKwySvXDPlmT5qS9bkixfvHxVto7lmfd61FCme84KSb/7MoPAV7lvPzvORGvu/a+uxffedoLa3ZFhZtWJ3ktZcdAzs7QuSTquykHPzBKiZf3pdQoHPTNrbvLe2x7ioGdmCdHKMTI6goOemaV5T8/MamPy3tse0nNBL/c/KZsHBRy7aDBZPm9FOm/syPn5zTq8MF1Hlc5OF81LL3TM+M5ked9T38pXctRxyeKx4ZPSdex9NltFDKQ73/yn9el7tvc8vSFZDjBy3GuT5UcMZTb4+Ow75xzMjURPheEWW7DXlbosMV1Z+OqtmdWH9/TMrE4CBz0zq48giHEHPTOri8B3ZJhZnficnpnVSQThoGdmteLD20OncmpmLm5rzvWFB3DMonQfcMsz5cdmygHm73smvUCF/tsmhtJ9xMVoeiDuieNW5+tYkK5j33j6U1vYl+mnDtjOomT5P959X7L8wJ7nsnW89oSjkuULY396BRXy4xYPpj+z/sjfzqXRzEDxA+n8ziq/odQv4KCyCGJstMJau4f39MwsIbynZ2Y1EjhlxczqxFdvzaxO3OGAmdVNr3U4MPuuI8ysh5V7elWnWZD085IekjQhac2UsvdLWi/pe5Le1DD/vHLeeklXVanHe3pm1tzcdjjwIPCzwGcaZ0o6BbgEeBXwMuArkn6kLL4W+GlgI3CPpNsi4uFUJQ56ZtZUEHN2eBsR6wB08NjUFwE3RcR+4DFJ64HTy7L1EfFo+bqbymU7J+gFhz8BOTdwU5WOHOcPpBNqBzMJzkMHdmfr6HthV7J8YiidsAuwbyLdjr2xIFm+cEG+jtzg6H2ZDa4KI2ntyQySPT6eLj9q1auzdaxaujC7TFKF5OSB0fTnrrFMAjRkk9LnfFyyzuhaaiVwd8PzjeU8gA1T5p+RW5n39MysuQjiwIzuyBiWdG/D87URsXbyiaSvANN1x/2bEXHrIbZyRhz0zCxhxndkbI+INc0KI+INh9CITcBIw/Pjy3kk5jflq7dmljZHV28TbgMukTQk6URgNfAt4B5gtaQTJQ1SXOy4Lbcy7+mZWXNz2LWUpLcC/ws4Bvg7SfdFxJsi4iFJN1NcoBgDroiI8fI1VwJfBvqB6yLioVw9DnpmljSHV29vAW5pUvYR4CPTzL8duH0m9TjomVlzEUTm6nm3cdAzs6YicNDrdLk0PFXI01vQl8k9G8/kW/XnN+v4omXpBfry68hdhRrKvNcFyp+riUw7DmRyBRl7IVvHksEjkuXHHJ/pLHUin722Y9+BZPkzY+mOX5cNpTvvBOjbl+nMNDeQN0B/ppPQCp3L5sxssO+5S06eK9ktKGlE0lclPVzeF/eecv4ySXdKeqT8u/TwN9fM5lS5p1d16gZV/m2MAe+LiFOA1wNXlPfCXQXcFRGrgbvK52bWY3ot6GWPoSJiM7C5fLxL0jqKW0AuAs4pF7sB+BrwG4ellWbWFhHB+IH0qYFuM6NzepJWAa8DvgksLwMiwBZgeZPXXA5cDjAyMjLdImbWqXrw6m3ls6KSFgNfBN4bEc83lkVE074EImJtRKyJiDXDw8OzaqyZzb3aHd4CSJpHEfBujIgvlbO3SloREZslrQC2Ha5Gmll7RNTz6q2AzwLrIuJjDUW3AZeVjy8D5qSHBDObWxPjE5WnblBlT+9M4G3AA5LuK+d9ALgGuFnSu4AngIsPSwtnqD/T112VN6z96b7ucv2i5QbIBtg/L52bNk1HigcZUvpLtmB/Jm9sfz5v7IWFxyTLI9NfXt/+Pdk6Fi6a9nTwDy0aSn9qe3fluz762nfTByKnrViSbsPw/Gwd8zMDm4t8rl/0ZwaKb0Ge3swG+65hcnJE/DPNt9O5rW2OmXWUHryQ0XN3ZJhZ6wS9Nxqag56ZNec9PTOrGwc9M6uPgAkf3ppZXUQEE6M1vg3NzOqm95KTHfTMrLk65ul1m2wnohXWkRugWuPpZFgdyHeceSDT0ehohS/akUPpZNhcGuvE4nTiMcCWXelDm8Xz0rUsHEwPOA6w84V0Z6Zbt6aTxfft3JqtY8eedAL03gPpNoxXGWV7INMBaIVVZDsJbUFy8sz46q2Z1UgEXXN7WVUOemaW4HN6ZlYnPqdnZrUSEJVOaHYPBz0zayoIn9MzsxqJakNsdhMHPTNrKgLGR/PjI3eT2gW9Kv+zJjK5ZfnupvO5VIP96WWC/CFFpr/UbDtGW3DUsiiTpxfj+Y4zd+5P/6gGM52IHl1hwKlXrUx3Erp0Qbrzzgp9uhL9mY5GowUbfK4H+47wOT0zq5cJBz0zqw2nrJhZnQQw4QsZZlYbPqdnZnXjPD0zq43owTsy5rqfGjPrJmXQqzrNhqQ/lPRdSfdLukXSUQ1l75e0XtL3JL2pYf555bz1kq6qUo+DnpklFLehVZ1m6U7g1RHx48D3gfcDSDoFuAR4FXAe8ElJ/ZL6gWuB84FTgEvLZZN8eDuN8b50Qu34/Nl3FjmeuSI2mM08zndmmkuGHYzM64GRI9LvtX/PM+kVTIxl68glOL/59HTy8TO792frOGPVsmT5kll2yAr5z11z0AFoqw9EI2D8wNyc04uIOxqe3g38XPn4IuCmiNgPPCZpPXB6WbY+Ih4FkHRTuezDqXoc9MysuZmPezss6d6G52sjYu0h1PyfgL8sH6+kCIKTNpbzADZMmX9GbsUOemaWNMNzddsjYk2zQklfAY6bpug3I+LWcpnfBMaAG2dScVUOembWVNFdfOsOmiPiDalySe8A3gycG/HDwWo2AY3nOI4v55GY35QvZJhZUkxMVJ5mQ9J5wK8DF0bE3oai24BLJA1JOhFYDXwLuAdYLelESYMUFztuy9XjPT0zay5iLjsc+BNgCLhTRbc2d0fEuyPiIUk3U1ygGAOuiIhxAElXAl8G+oHrIuKhXCUOembW3BwmJ0fEyYmyjwAfmWb+7cDtM6nHQc/Mmgrcy0ot5FLkWtHpxLxMJQORz2/r278vvUAmT6/KoOR9+/eky19ID8QdFXrfPOao9NfwTavTg5I/tz+/rY5dlO4kdPFg+vR2f4W8yZ7U4gsZnSDfCbA0Iumrkh6W9JCk95Tzr5a0SdJ95XTB4W+umc2t6regdcs9ulX29MaA90XEdyQdAXxb0p1l2ccj4o8OX/PMrJ0iYCK6I5hVlQ16EbEZ2Fw+3iVpHS9mQ5tZDwtgtMc6EZ1Rnp6kVcDrgG+Ws64se0S4TtLSJq+5XNK9ku7dvn377FprZnNuPKLy1A0qBz1Ji4EvAu+NiOeBTwGvAE6l2BP86HSvi4i1EbEmItYMDw/PvsVmNmcCGI/qUzeodPVW0jyKgHdjRHwJICK2NpT/KfC3h6WFZtY2EXTNHlxV2aCnIjX6s8C6iPhYw/wV5fk+gLcCDx6eJppZO3XLHlxVVfb0zgTeBjwg6b5y3gcoOuw7lWIP+HHgVw5D+zrS3KRs5c885AYlb8XA0Ln+8Mb70v3Q0Tf7VNAVi9M5dscuytcx2J/+0IYyg6+34iOvEjty9cx1/Am651xdVVWu3v4z038WM7r1w8y6z+Q5vV7iOzLMLMlBz8xqo5YXMsys3rynZ2a1MUHv3ZHhoGdmST68NbPaiC6606IqBz0zS/Kens2JqJJY3J8eiLsl7cglFw/MTxZXOR2Ue6cLM4OBV0kWzy3SKX2Edlp4CYrzer3EQc/MEmp4R4aZ1ZfvyDCzWimCXm9FPQc9M2vOV2/NrE68p2dmtdKLY2Q46JlZU714IUMxh7uukp4GnmiYNQx0w2hB3dDObmgjuJ2t1up2vjwifji6uqR/KOuoantEnNfC9rTcnAa9gyqX7o2INW1rQEXd0M5uaCO4na3WLe3sJC3oT9zMrHs46JlZrbQ76K1tc/1VdUM7u6GN4Ha2Wre0s2O09Zyemdlca/eenpnZnHLQM7NaaVvQk3SepO9JWi/pqna1I0XS45IekHSfpHvb3Z5Jkq6TtE3Sgw3zlkm6U9Ij5d+l7Wxj2abp2nm1pE3lNr1P0gVtbuOIpK9KeljSQ5LeU87vqO2ZaGdHbc9u0JZzepL6ge8DPw1sBO4BLo2Ih+e8MQmSHgfWRERHJalK+jfAbuBzEfHqct4fADsi4pryn8jSiPiNDmzn1cDuiPijdrZtkqQVwIqI+I6kI4BvA28B3kEHbc9EOy+mg7ZnN2jXnt7pwPqIeDQiRoGbgIva1JauExFfB3ZMmX0RcEP5+AaKH0RbNWlnR4mIzRHxnfLxLmAdsJIO256JdtoMtSvorQQ2NDzfSGd+gAHcIenbki5vd2MylkfE5vLxFmB5OxuTcaWk+8vD37Yfhk+StAp4HfBNOnh7TmkndOj27FS+kJF2VkScBpwPXFEernW8KM5ZdGou0qeAVwCnApuBj7a1NSVJi4EvAu+NiOcbyzppe07Tzo7cnp2sXUFvEzDS8Pz4cl5HiYhN5d9twC0Uh+Wdamt53mfy/M+2NrdnWhGxNSLGI2IC+FM6YJtKmkcRSG6MiC+Vsztue07Xzk7cnp2uXUHvHmC1pBMlDQKXALe1qS3TkrSoPGGMpEXAG4EH069qq9uAy8rHlwG3trEtTU0GktJbafM2lSTgs8C6iPhYQ1FHbc9m7ey07dkN2nZHRnlp/RNAP3BdRHykLQ1pQtJJFHt3UPQ7+PlOaaOkLwDnUHT5sxX4IPA3wM3ACRTdd10cEW29iNCknedQHIoF8DjwKw3nzuacpLOAbwAP8OJohx+gOF/WMdsz0c5L6aDt2Q18G5qZ1YovZJhZrTjomVmtOOiZWa046JlZrTjomVmtOOiZWa046JlZrfx/l1/gkBjnZC0AAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"for k in range(10, 200, 20):\n",
" plt.figure()\n",
" plt.title('Image ' + str(2) + ', ' + str(k) + ' Principal Components')\n",
" skimage.io.imshow(proj(imgs[2].flatten(), k).reshape(28, 28))"
]
},
{
"cell_type": "code",
"execution_count": 67,
"id": "hydraulic-circumstances",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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uSXemZR8GLgKulnQmsB44NZVdD5wCrAW2A+9qRyMmG/SOj4hNkg4AbpL0o4j4TvMKKRCuBDjqqKN69YZRZj2rXVdkRMS/0/oc3oljrB/AOW2pvMmkQnhEbEr/bgWuBY5uR6PMrDNI0OhT5Uc3mHDQkzRP0l4jz4HXA/e0q2Fm1hl6LehN5vD2QODadLp5FvDliPiXyTSmyi7rljy8nEp5eBmZFDmGMv+nNTI5eACDmW0MZ26iPafCH0JEeR0PPl6eT3jNDT/J1vHAt68rLX/0+DeXlm8+8qBsHS/N5ullN5E13eNDonuCWVUTDnoR8SDwyja2xcw6TTq87SU9d0WGmbWPcNAzsxqRql1K2E0c9MysJff0zKxe5BMZZlYjRU+vt65WddAzs5YkmOMbA02cKM/F65Vr1CrlY2Vuoh0VbqK9K5NQODt3AfhQ5i7awKzGnNLyeZk7WGswP2ffU1Fexx0Pl0/is+OZzI28gb0WHFZaftCSfUvLF72wPAcPYM9ccKiwv3PzOCnzu2j335Dz9Mysdho9dmMgBz0za0lOTjazunHQM7PacHKymdWKT2SYWe046JlZbfhEhpnViq+97QHTMUFoOwy1oZ25JOkqCdCRS5bNTCL6rOZm6/jWusdLy6+69YHsNnKWvfGE0vIPLX9JafnL+vMTrjaGM8nHVW4gO86bzE41Sb4iw8zqxT09M6sNj+mZWa14TM/M6sU9PTOrEyFPOGBm9dLnoGdmdSHac7/eTuKgN4bJpshVeX9uMshGhW00Mr/GXE7iUIWvv5HZRiOTV7b+yfzEmX930/2l5Wu/d1tpef/SV2Tr+JPfXFJa/uoF80rLZ+18OltHzJ1fWr6zPKURIHNr9Wq/i7YS9HlMz8zqoujp9VbQ661UazNrK1HcdqDqI7s96TJJWyXd07RsP0k3Sbo//btvWi5JfytpraS7JB3Vjs/koGdmrUn09VV/VHA5sHzUsvOAWyJiKXBLeg1wMrA0Pc4CvtCOj+SgZ2YtieLsbdVHTkR8B3h01OIVwBXp+RXAW5qWfykKtwH7SFow2c/kMT0zKzXOs7f9klY3vV4ZESsz7zkwIjan548AB6bnC4ENTettTMs2MwkOembW0khPbxy2RcSyidYXESFpSudCctAzs9am5zK0LZIWRMTmdPi6NS3fBAw0rXdwWjYpHtMzs5baPabXwirgjPT8DOC6puXvSGdxjwWeaDoMnjD39KZAlYlKc+MkfYPPZreRmwR0MMpTWVXhRzpr1/bS8mcbe5SWf+O+Ldk6Hrp7Y2n58PBQafmRRx2UreOYhXuXls/a8WRpeczOTyKaSz4erPDDyN15LPeNTUWnrJ1XZEj6CnACxdjfRuBjwEXA1ZLOBNYDp6bVrwdOAdYC24F3taMN2aAn6TLgTcDWiPjVtGw/4KvAYmAdcGpEPNaOBplZ5xCT6sHtJiJOb1F04hjrBnBO2ypPqhzeXk71vBoz6yVpTK/qoxtkg94482rMrIcUY3rVH91gomN6rfJqdiPpLIpsagYGBlqtZmYdqLgMrbfOd07606Tj7pYjtBGxMiKWRcSy/fv7J1udmU0nQaOv+qMbTLSn1yqvxsx6yASSkzveRGNzq7waM+spxXTxVR/doErKynjyakqVHgdPkyqDrZO9IXg7PmPuJtsAZPL0lMkbmxP5CT7JjOf8cPMvSsuv/fZD2Sqeeaw8l2/pa44rLX/fbx+erWP/PcpzFmN4z9LyIVW4MXrmh1Ml3y33+5zukwW92NPLfpPjyasxsx6j7hmrq8pXZJhZS7Xs6ZlZvfVYzHPQM7NyfdkrfruLg56ZtSTc0zOzOvGJDDOrEyEf3na7Kl9fLp8ql4e3q8JNnSPXkMac7DaGMg2Zw2BpuQbzeXoPD5bPI/fZf/1R+fvvX5etY+8Fi0vLz3nTS0vLf+2A8jn9ABgu3xeDmTy8Kr+bOZO8+Xqn8uGtmdVKt8yeUpWDnpmV6rGY56BnZq05OdnMaqfHYp6DnpmV67GMFQc9M2tNqnbXvG7ioGdmpXz21sxqQ7T3vredwEFvLJlEVmUm+OyrMAFoLrG4ityPUUPln2PH7PnZOv753kdKy+9fU36ngMasfJL1sa9ZVFp+4qH7ldcxnE+yHuorb0c2V5wKGefD5es0MpO+wvRMslv2Wccq8+GtmdVHF93asSoHPTMr1WMxz0HPzFobudl3L3HQM7NSvTam12t5h2bWRiM9vaqP7Pak5ZJ+LGmtpPOm/AOMwUHPzEppHI/S7UgN4GLgZOAI4HRJR0xRs1vy4a2ZlVA7Jxw4GlgbEQ8CSLoKWAHc264KqpjWoJf732Ba5liMfL6VMnl6kbvJdoU8vdyhgCq0M7fDtmtuafl31z+RreJLN99fWv7MU0+Xli9+xeJsHR88cWlp+QGzd5WWR6N8olOAodyNz3NfWSYHr5Iqv73Mb2fa5yHVuCcc6Je0uun1yohYmZ4vBDY0lW0EjplcA8fPPT0za0kRKMYVardFxLKpak87OOiZWanckc84bAIGml4fnJZNK5/IMLMSURyWV32Uux1YKmmJpDnAacCqKf8Io7inZ2blxnd4W7KZGJR0LnAD0AAui4g1bdn4ODjomVlrEZVOwFTfXFwPXN+2DU6Ag56ZlaqUSdBFHPTMrJyDnrVD7n9P7dye3UbM2bO0fMOT5fltF30jnxP64A/uKC3f80UHlZa/7TWHZOtYuk/mZ7ijPBcwZuXz9LJ5eJnvI5ebCRVmI6lyFrRCjudklY3Q7V7W3sPbTpDdw5Iuk7RV0j1Ny86XtEnSnelxytQ208xmRNDOs7cdocp/K5cDy8dY/tmIODI9ZnRg0symShRXo1R9dIFsnz0iviNp8TS0xcw6UK+dyJjMAMK5ku5Kh7/7tq1FZtY5ImB4qPqjC0w06H0BOAw4EtgMfLrVipLOkrRa0uqfbds2werMbMbUcExvNxGxJSKGImIY+CLFlDGt1l0ZEcsiYtn+/f0TbaeZzRDFcOVHN5hQyoqkBRGxOb18K3BP2fpm1q16L2UlG/QkfQU4gWKerI3Ax4ATJB1JcUJ7HfCnU9dEM5tRdQt6EXH6GIsvnUhlwQxMgjhaheTPbCJqprzS9dm5djTynfDtQ+XpsDc/UD6Guv6e9dk6Bnc+U1rev+iA0vLfPKT8Rt1APjH4BXuXlg9X2N/ZG4I3ym8GvqvC3/3szFdaZXLZjtPma287ga/IMLOWRO+lrDjomVm5Lkk6rspBz8xKRNvm0+sUDnpm1trItbc9xEHPzEpEO++R0REc9MysnHt6ZlYbI9fe9pDaBb1KQ7KZPLxcXlg77ge/q8INrO/bUj7R6DXfK8/D2/mLJ7N19B/2ytLy0086vLT84L1nZ+ugrzx/7Zmh8h0+O3fndMjmReZ+F1Wq6BZlH2WssvDZWzOrD/f0zKxOAgc9M6uPIIghBz0zq4vAV2SYWZ14TM/M6iSCcNAzs1rx4W13y6R8Afk8vEYmZ2vW0LMVGlJ+ac9jw3tkN/H1ezaXlv/03o2l5bP2mJet45XLFpaWv+3lB5aW79WXv4RJg+V/VHMq5CxOVi4NL/edV9lGpbkc89VMrwhiMDMXYZfpwlkNzWz6TN99byX9vqQ1koYlLRtV9iFJayX9WNIbmpYvT8vWSjqvSj216+mZ2TgE05mycg/we8AlzQslHQGcBrwcOAi4WdKvpOKLgdcBG4HbJa2KiHvLKnHQM7MS03f2NiLuA5B2GyhYAVwVETuAhySt5bk7MK6NiAfT+65K6zromdkEjX/CgX5Jq5ter4yIlZNsxULgtqbXG9MygA2jlh+T25iDnpmVGueEA9siYlmrQkk3Ay8eo+gjEXHdeNs2EQ56ZlaivYe3EXHSBN62CRhoen1wWkbJ8pZ89tbMWhuZcKDqY2qsAk6TNFfSEmAp8APgdmCppCWS5lCc7FiV25h7embWUhDTNp+epLcC/xPYH/hnSXdGxBsiYo2kqylOUAwC50TEUHrPucANQAO4LCLW5Opx0BtDZO7+1JeZUVK7duTraJRPrrnpyXxC6Lf/8+HS8ic3P1Ba/uKXHpWt44+PWVRavmBe+U9IO57O1pFL2m3kEpxzN2cvViovzkyJXmkO0W68mXfONE4tFRHXAte2KLsQuHCM5dcD14+nHgc9M2stgtjVW1dkOOiZWYnwtbdmVjOeZcXMasNTS5lZ3fhuaGZWHxHEkIOemdVEBA56U6lKLtRkJ1msNBlkLg8vk9OVy8EDeFLlE2N+b8Mj2W1sXf9oeTsyYzELDt03W8dL+/MTjZbZMXt+dp3ZmfQ2DecnIs3K5dBNQx2dMkFoWTt2L5u+5OTpks2mlDQg6VZJ96YJ/t6Tlu8n6SZJ96d/839BZtZdUk+v6qMbVEkhHwTeHxFHAMcC56RJ/c4DbomIpcAt6bWZ9ZheC3rZw9uI2AxsTs+fknQfxVxWK4AT0mpXAN8CPjglrTSzGRERDO3aNdPNaKtxjelJWgy8Cvg+cGAKiACPAGPeIUbSWcBZAAMDA2OtYmadqgfP3la+QlrSfOBrwHsj4snmsiiu0B9zfDQiVkbEsohY1t/fP6nGmtn0q93hLYCk2RQB78qIuCYt3iJpQURslrQA2DpVjTSzmRFRz7O3Ai4F7ouIzzQVrQLOSM/PAKZlqmczm17DQ8OVH92gSk/vOODtwN2S7kzLPgxcBFwt6UxgPXDqlLRwlErzmpWpkI81K7dO5n++4Tl7Zut46GfPlJbfem++47xz+xOl5Qe85NdLy0/7jfK58gAW7lWec5i7efqOCn8Ijdx8epn3V7mBeyb1EuXy+LrxRt0tlO2K3crqmJwcEf9O6/10YnubY2YdpQdPZHTUFRlm1lkCTzhgZnXinp6Z1Y2DnpnVR8CwD2/NrC4iguGdNb4MzczqpveSkx30zKy1OubpdZ3MBJ/ZcircrDuTvDw0O5+cvO6x8uTkTRvLE48BhnY8W1q+YEn5FIcnLtkvW8cej68vLR/es7yOPebuna2jEW2YwHOy2nCj7kknznckn701sxqJoGsuL6vKQc/MSnhMz8zqpAfH9CY/kGFmvSsghqLyYzIkfVLSjyTdJelaSfs0lX1I0lpJP5b0hqbly9OytZIq3bLCQc/MWgpiOqeWugn41Yh4BfAT4EMA6Z48pwEvB5YDn5fUkNQALgZOBo4ATk/rlvLhrZm1FhDD0zNpVkTc2PTyNuBt6fkK4KqI2AE8JGktcHQqWxsRDwJIuiqte29ZPQ56ZtZSBAztLL9/8hT5L8BX0/OFFEFwxMa0DGDDqOXH5DbcUUGvyv8n2VyodkwG2Vc+bWU78rH6MrNaDg/mDxVyN/OeNSfzOZT/JJGZEDVXXqmTkPtOMrmVVW7gXheT7ZPt9v4Y91hdv6TVTa9XRsTKkReSbgZePMb7PhIR16V1PkJx69krx1NxVR0V9Mys8wyPL+hti4hlrQoj4qSyN0t6J/Am4MR0wzGATUDzrRQPTssoWd6ST2SYWWsxfXdDk7Qc+ADw5ojY3lS0CjhN0lxJS4ClwA+A24GlkpZImkNxsmNVrh739MyspQCGp+lEBvB3wFzgpjT0cltEnB0RayRdTXGCYhA4JyKGACSdC9xAcSuVyyJiTa4SBz0za238Y3qTqCoOLym7ELhwjOXXA9ePpx4HPTMr5Wtvzaw2Il2R0Usc9MysNQc9M6uX8OFt1+vLf+RsQm7m/bsqnO1ass8epeWve82i7DZu339eafkRC8sn8Hz82fzknfvt219a3pf5qI0qSVGTnfi1wsSw7ZgktI4iYGiXg56Z1YXve2tmdeMxPTOrjWK6eAc9M6sRTxdvZvUR4Z6emdWI8/TMrE6C3rsxkIPeWDI5Xbn/9/oqTOW4/56zS8vPWDZQWg7wrleXr7Ngfnkd87ZvzdbR93j5TcmH55bnCsac8vKiksz+zuVW1igHb9r7XD14IiP7a5E0IOlWSfdKWiPpPWn5+ZI2SbozPU6Z+uaa2fSqfie0bjkMrtLTGwTeHxF3SNoL+KGkm1LZZyPiU1PXPDObSREwHN0RzKrKBr2I2AxsTs+fknQfz92Uw8x6WAA7p28S0WkxrsEQSYuBVwHfT4vOTTfmvUzSvi3ec5ak1ZJWb9u2bXKtNbNpNxRR+dENKgc9SfOBrwHvjYgngS8AhwFHUvQEPz3W+yJiZUQsi4hl/f3lF6+bWWcJYCiqP7pBpbO3kmZTBLwrI+IagIjY0lT+ReCbU9JCM5sxEXRND66qbNBTcYeOS4H7IuIzTcsXpPE+gLcC90xNE81sJnVLD66qKj2944C3A3dLujMt+zBwuqQjKXrA64A/nYL27Sa3/zvhvs+NzI28AfaaWz6ysOfs/DZmZ+qZq8yd6We9IFvH0Ozyef+YNae0OBrl5cCk8+ym42+yE35XMyHonrG6qqqcvf13xv7Ox3UHIjPrPiNjer3EV2SYWSkHPTOrjVqeyDCzenNPz8xqY5jeuyLDQc/MSvnw1sxqI7roSouqHPTMrJR7eh2uE76eRoVM1kZupSobySr/eof3eOGka+iE/T0d6vI5RwuKcb3pIOkTwIpU5VbgnRHxcLoq7G+AU4Dtafkd6T1nAB9Nm7ggIq7I1VOfKWfNbAKqz7DShh7hJyPiFRFxJMW1/H+elp8MLE2PsygmO0HSfsDHgGOAo4GPtZrtqZmDnpm1NJ2zrKTZm0bM47kO9grgS1G4DdhH0gLgDcBNEfFoRDwG3AQsz9XTc4e3ZtY+RdAbVzTrl7S66fXKiFhZ9c2SLgTeATwB/HZavBDY0LTaxrSs1fJSDnpm1tr4e3DbImJZq0JJNwMvHqPoIxFxXUR8BPiIpA8B51IcvraVg56ZtTSBnl759iJOqrjqlRSTmnwM2AQ03/rv4LRsE3DCqOXfym3YY3pm1tLIPTKqPiZD0tKmlyuAH6Xnq4B3qHAs8ESay/MG4PWS9k0nMF6flpVyT8/MWprmqaUukvQSipSV9cDZafn1FOkqaylSVt4FEBGPpjSX29N6H4+IR3OVKKYx8VDSzyg+zIh+oBvuFtQN7eyGNoLb2W7tbuchEbH/yAtJ/5LqqGpbRGTPoM6kaQ16u1UurS4b9OwU3dDObmgjuJ3t1i3t7CQe0zOzWnHQM7NamemgVzlpcYZ1Qzu7oY3gdrZbt7SzY8zomJ6Z2XSb6Z6emdm0ctAzs1qZsaAnabmkH0taK+m8mWpHGUnrJN0t6c5RF1HPKEmXSdoq6Z6mZftJuknS/enf7BQ7U61FO8+XtCnt0zslnTLDbRyQdKukeyWtkfSetLyj9mdJOztqf3aDGRnTk9QAfgK8jmJmhNuB0yPi3mlvTAlJ64BlEdFRSaqSfhN4mmK6nV9Ny/4aeDQiLkr/iewbER/swHaeDzwdEZ+aybaNSFMULYiIOyTtBfwQeAvwTjpof5a081Q6aH92g5nq6R0NrI2IByNiJ3AVxbV2VkFEfAcYfbnNCmBk1tgrKP4gZlSLdnaUiNg8MgtvRDwF3EcxPVFH7c+Sdto4zVTQm9A8WDMggBsl/VDSWTPdmIwD00XYAI8AB85kYzLOlXRXOvyd8cPwEZIWA68Cvk8H789R7YQO3Z+dyicyyh0fEUdRTFd9Tjpc63hRjFl0ai7SF4DDgCOBzcCnZ7Q1iaT5wNeA946awbej9ucY7ezI/dnJZirotZofq6NExKb071bgWorD8k61JY37jIz/bJ3h9owpIrZExFBEDANfpAP2qaTZFIHkyoi4Ji3uuP05Vjs7cX92upkKercDSyUtkTQHOI1izqyOIWleGjBG0jyKubruKX/XjFoFnJGenwFcN4NtaWkkkCRvZYb3abrT1qXAfRHxmaaijtqfrdrZafuzG8zYFRnp1PrngAZwWURcOCMNaUHSoRS9OyjmHfxyp7RR0lcoZoztB7ZQzC77deBqYBHF9F2nVplbbCq1aOcJFIdiAawD/rRp7GzaSToe+Dfgbp672+GHKcbLOmZ/lrTzdDpof3YDX4ZmZrXiExlmVisOemZWKw56ZlYrDnpmVisOemZWKw56ZlYrDnpmViv/H8m7dNyE3cFRAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"for k in range(10, 200, 20):\n",
" plt.figure()\n",
" plt.title('Image ' + str(3) + ', ' + str(k) + ' Principal Components')\n",
" skimage.io.imshow(proj(imgs[3].flatten(), k).reshape(28, 28))"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "boring-suggestion",
"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": "3.9.1"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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