Skip to content

Instantly share code, notes, and snippets.

@prl900
Created June 11, 2019 11:58
Show Gist options
  • Save prl900/889b4524ca87e0f7bce0fde80d54c7eb to your computer and use it in GitHub Desktop.
Save prl900/889b4524ca87e0f7bce0fde80d54c7eb to your computer and use it in GitHub Desktop.
Display the source blob
Display the rendered blob
Raw
{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x7f93b7dd2f98>"
]
},
"execution_count": 1,
"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": [
"%matplotlib inline\n",
"\n",
"import imageio\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"im = imageio.imread(\"cameraman.jpg\")\n",
"\n",
"im1 = im.copy()\n",
"im1[im>200] = 200\n",
"\n",
"im2 = im.copy()\n",
"im2[im<80] = 80\n",
"\n",
"im3 = im.copy()\n",
"im3[50:150,50:150] = 128\n",
"\n",
"stack = np.dstack((im,im1,im2,im3))\n",
"plt.imshow(stack[:,:,3])"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(12, 512, 256)"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"def kmode(k, U, X):\n",
" # returns the k-mode product of a and b\n",
" idx = [chr(i) for i in range(ord('k'),ord('k')+X.ndim-1)]\n",
" idx_in = idx[:]\n",
" idx_in.insert(k-1, 'j')\n",
" idx_out = idx[:]\n",
" idx_out.insert(k-1, 'i')\n",
" ein_str = \"ij,{}->{}\".format(''.join(idx_in), ''.join(idx_out))\n",
" \n",
" return np.einsum(ein_str,U,X)\n",
"\n",
"U = np.random.rand(12, 256)\n",
"X = np.random.rand(256, 512, 256)\n",
"kmode(1,U,X).shape"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[ 1, 2, 7, 8],\n",
" [ 3, 4, 9, 10],\n",
" [ 5, 6, 11, 12]])"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"def k_unfold(tensor, mode=0):\n",
" \"\"\" \n",
" Unfolds a tensor following the Kolda and Bader definition\n",
" Moves the `mode` axis to the beginning and reshapes in Fortran order\n",
" \"\"\"\n",
" return np.reshape(np.moveaxis(tensor, mode, 0), \n",
" (tensor.shape[mode], -1), order='C')\n",
"\n",
"a = np.arange(1,13).reshape((2, 3, 2))\n",
"k_unfold(a,1)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(4, 4)"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ministack = stack[75:175,75:175,:]\n",
"\n",
"A_1, _, _ = np.linalg.svd(k_unfold(ministack, 0), full_matrices=True)\n",
"A_1.shape\n",
"A_2, _, _ = np.linalg.svd(k_unfold(ministack, 1), full_matrices=True)\n",
"A_2.shape\n",
"A_3, _, _ = np.linalg.svd(k_unfold(ministack, 2), full_matrices=True)\n",
"A_3.shape"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"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": [
"# Following https://www.alexejgossmann.com/tensor_decomposition_tucker/\n",
"\n",
"G = kmode(3, A_3.T, kmode(2, A_2.T, kmode(1, A_1.T, ministack)))\n",
"plt.imshow(G[:,:,3])\n",
"\n",
"G_min = G[:40,:40,:]"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x7f93b64dbd68>"
]
},
"execution_count": 6,
"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": [
"ms_hat = kmode(3, A_3, kmode(2, A_2[:,:40], kmode(1, A_1[:,:40], G_min)))\n",
"plt.imshow(ms_hat[:,:,2])"
]
},
{
"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": "3.7.3"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment