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@tjlane
Created October 8, 2019 10:04
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{
"cells": [
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
}
],
"source": [
"%pylab inline\n",
"from skimage import data"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(50, 40) 2000\n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x11d8c5fd0>"
]
},
"execution_count": 15,
"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": [
"x = data.camera()[100:150,240:280]\n",
"print(x.shape, np.product(x.shape))\n",
"shp = x.shape\n",
"imshow(x, cmap='gray')"
]
},
{
"cell_type": "code",
"execution_count": 101,
"metadata": {},
"outputs": [],
"source": [
"c = 0.0\n",
"n = 2000\n",
"m = n * 4\n",
"sigma = 0.0\n",
"\n",
"A = np.random.randn(m,n) + c\n",
"A[:,-40:] = np.random.randn(1)\n",
"\n",
"xf = x.flatten()\n",
"r = np.dot(A, xf + sigma*np.random.randn(*xf.shape))"
]
},
{
"cell_type": "code",
"execution_count": 102,
"metadata": {},
"outputs": [],
"source": [
"Ap = np.linalg.pinv(A)\n",
"x_hat = np.dot(A.T, r)"
]
},
{
"cell_type": "code",
"execution_count": 103,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x1224204d0>"
]
},
"execution_count": 103,
"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": [
"imshow(x_hat.reshape(shp), cmap='gray')"
]
},
{
"cell_type": "code",
"execution_count": 123,
"metadata": {},
"outputs": [],
"source": [
"from scipy import linalg as sl\n",
"\n",
"G = np.dot(A.T, A)\n",
"#G = np.corrcoef(A)\n",
"inv_G = sl.pinvh(G)\n",
"err = np.diag(inv_G)"
]
},
{
"cell_type": "code",
"execution_count": 124,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x576 with 4 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"figure(figsize=(8,8))\n",
"\n",
"subplot(221)\n",
"imshow(G)\n",
"\n",
"subplot(222)\n",
"imshow(inv_G)\n",
"\n",
"subplot(223)\n",
"#imshow(err.reshape(shp), vmax=1e6)\n",
"imshow(err.reshape(shp), vmax=1e6)\n",
"\n",
"subplot(224)\n",
"imshow(x - x_hat.reshape(shp))\n",
"\n",
"show()"
]
},
{
"cell_type": "code",
"execution_count": 125,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x11ec4ea90>]"
]
},
"execution_count": 125,
"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": [
"plot(np.diag(G) / 1e8)\n",
"plot(np.diag(inv_G))"
]
},
{
"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": "3.7.4"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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