{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Non-negative matrix factorization" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Reference: [Non-negative matrix factorization](http://scikit-learn.org/stable/modules/decomposition.html#non-negative-matrix-factorization-nmf-or-nnmf)\n", "\n", "NMF is an alternative approach to decomposition that assumes that the data and the components are non-negative. NMF can be plugged in instead of PCA or its variants, in the cases where the data matrix does not contain negative values. It finds a decomposition of samples X into two matrices W and H of non-negative elements, by optimizing for the squared Frobenius norm:\n", "\n", "$$\n", "\\arg\\min_{W,H} \\frac{1}{2} ||X - WH||_{Fro}^{2} \n", "= \\frac{1}{2} \\sum_{i,j} (X_{ij} - {WH}_{ij})^{2}\n", "$$\n", "\n", "This norm is an obvious extension of the Euclidean norm to matrices. (Other optimization objectives have been suggested in the NMF literature, in particular Kullback-Leibler divergence, but these are not currently implemented.)\n", "\n", "Using: [sklearn.decomposition.NMF](http://scikit-learn.org/stable/modules/generated/sklearn.decomposition.NMF.html)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ ":0: FutureWarning: IPython widgets are experimental and may change in the future.\n" ] } ], "source": [ "%matplotlib inline\n", "%load_ext autoreload\n", "%autoreload 2\n", "import os, sys\n", "import numpy as np\n", "from skimage import io\n", "import matplotlib.pylab as plt\n", "sys.path += [os.path.abspath('.'), os.path.abspath('..')] # Add path to root\n", "import notebooks.notebook_utils as uts" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## load datset" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "loading dataset: (True) exists -> /mnt/30C0201EC01FE8BC/TEMP/atomicPatternDictionary_v0/datasetFuzzy_raw\nloading (True) <- /mnt/30C0201EC01FE8BC/TEMP/atomicPatternDictionary_v0/dictionary/atlas.png\n" ] }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "p_dataset = os.path.join(uts.DEFAULT_PATH, uts.SYNTH_DATASETS_FUZZY[0])\n", "print ('loading dataset: ({}) exists -> {}'.format(os.path.exists(p_dataset), p_dataset))\n", "\n", "p_atlas = os.path.join(uts.DEFAULT_PATH, 'dictionary/atlas.png')\n", "atlas_gt = io.imread(p_atlas)\n", "nb_patterns = len(np.unique(atlas_gt))\n", "print ('loading ({}) <- {}'.format(os.path.exists(p_atlas), p_atlas))\n", "plt.imshow(atlas_gt, interpolation='nearest')\n", "_ = plt.title('Atlas; unique %i' % nb_patterns)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "loaded # images: 800\nimage shape: (64, 64)\n" ] } ], "source": [ "list_imgs = uts.load_dataset(p_dataset)\n", "print ('loaded # images: ', len(list_imgs))\n", "img_shape = list_imgs[0].shape\n", "print ('image shape:', img_shape)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Pre-Processing" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "input data shape: (800, 4096)\n" ] }, { "data": { "image/png": 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9waqf7p3QJ0HHdXRKnLVWXATjcItL+Th0HO/eJ62k+6onQHtri/tZh47L/f06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\nevBwFgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "X = np.array([im.ravel() for im in list_imgs]) # - 0.5\n", "print ('input data shape:', X.shape)\n", "\n", "plt.figure(figsize=(7, 3))\n", "_= plt.imshow(X, aspect='auto'), plt.xlabel('features'), plt.ylabel('samples'), plt.colorbar()" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA2IAAACqCAYAAADP/PzWAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMS4yLCBo\ndHRwOi8vbWF0cGxvdGxpYi5vcmcvNQv5yAAAE29JREFUeJzt3c2S20QXBuAzCSGEBAihCgKXw44q\nLpcqdt/lULAgIUAmCQHmW1Anbp+oZXl+2mP5eTYay7KsVNoqdb/9c3ZxcREAAACMc+fQFwAAAHBq\nVMQAAAAGUxEDAAAYTEUMAABgMBUxAACAwVTEAAAABlMRAwAAGExFDAAAYDAVMQAAgME+GPlld+7c\nuYiIODs7i6ntnTt32mP/u8APPtja3r17d2ubn51ycXERERH//PPP1vbvv//e2v77779b2/xc+3fd\ncv0uLi76/5kHoswy5zaW2bOzM//hdCmzHJvbWGYjlNt9zT37XOdnUu/ZZ9Qz0dJyKxEDAAAYbGgi\nVtVUoU0XMk24d+9eRER8+OGHERFx//79rf1L0oW3b99GRMSbN28mP5MpQ8qUoT1HvWYpw2lSZgEA\nlpl75um9V/fvk4zls0599qn7232HJBEDAAAYbGgitmucTSYKEe+nCg8ePIiIiEePHkVExEcfffTe\nZ6pMDV6/fh0REX/++efs9eXxbQ251sJvQ+2ZcZRZAID9zKVaSxOv3jPYlKXj46eelw75nCQRAwAA\nGOwgY8SWpAu9VOHx48cREfH5559HxGb8zZQcX/P8+fPZ68macJ2Jrr1G425OmzILADCvl3ZNJWK7\nEq981pqaqbqqs0jX56P2OSn1xpONJBEDAAAY7CBjxFKdeS7XWYrYpAa9VOGbb76JiIjPPvus+30v\nXryYvZ6sHec4m6mZ8PIYacJpUmYBAObtSsKm1l3dlXjl/ux91L5fn3Hq81Guw1rdtmRMIgYAADCY\nihgAAMBgB52sI01188qpwHPK7173ru+//777PT/88MPk/pwa/NWrV1vfOzUIsMaUunudJmUWjss+\nC4BWfisAyyztktg+r+QzTG5r18N6zny+ym17bHY1fPv27db2r7/+2nnttZviIZ6bJGIAAACDHSQR\nS0sWe8tack6EUFOFfP3kyZOIiHj27Nm7c+QxmTL8+uuvW+fsTZd5lZZU1k2Zhdvjpsp977ySMoD/\n7JuEtT2I8pkml/2piVft7ZPH5bY9R07OkQnY+fn54n9Dvaebvh4AAOAEHDQRuw6ZKjx9+vS993ZN\nBV5N9U2tNXyL5HJVyixczVRi1Uux9knNer8J4y0B/nPZJCwTrIhNspVj6j/++OOt/e2x7etPPvnk\n3b7sdfTmzZuIiPjjjz9mrzvv2+39uy4CfYgx9hIxAACAwY4+EUu19rzk2KyJZ7/Sukhu+7dFcrlu\nyiwssyTtuo7xk7vGC9RW0t5xAGsy1wthaRLWju+qSdinn34aEZvEK9Ou6vHjx+/+zmN3JWG5sHPd\ntteaDjGLokQMAABgsNUkYkt88cUXEbHpT2ptJm47ZZZTtivdal/X8ZK9hGxOHUOQ29pKWo9vv8Pv\nC1iL60zCMgWL6CdhX3311dbrOd9++21ERPzvf/+bfD+fl3ImxlxfbK430iFmUZSIAQAADLa6RKyt\ncdf1m/Zdm6m3D66TMgvzapmemi20tsb2ErKqbfGsCVg7lmDqfSkzcGp6idiuJCxTsIjdSVimXXMe\nPXq0dWwmY7/99tvW9+aY+qmeDb3eDyNnUZSIAQAADLaaRCxnj8s+oRGbNZkyVcjXOd4mPzO1tkDS\n0slNUWZhWi+9qilXtsC2f2drbL7O7ZJErM6qlZ+p++vMpFPX7ncIrMVc75uaiPWSsEzBInYnYZl2\ntbMk9vz5559br/Mz+dxUtT0devf2kWPFJGIAAACDHX0i9uzZs9nXrRxn8/z584jYJBE5k0rWiOf6\nkfZew1LKLEzrzYpYtzXtitjMjJWtsbmtCVnVto5m4pxjCnopWk3MWmYpBY7d3Fjz3n0577V5L+7N\njBixOwnL9/OzU/fvfC7qjRWr6iyKEZtnqTz/0rFi10kiBgAAMJiKGAAAwGAH7Zo413Uq/86uIjno\nrk5mkNN85/5Wb8KDuihu7p/q5lW7fOlmctqUWbh5SxcMbbuYZFfEBw8eRETEw4cPI2IzYLy3iGf+\nXiM2v7OXL1/OXl/9TS3pGgywJr37c+0mXifmaPft6pKY2zxXdhuPeH95kbR0OvuI94d51G7nvS6J\nbdfNq97rJWIAAACDHSQR67UmtrXbrKVmC2UOyqsyQZiSqcJPP/20dY464UG2iOa2bd2cmyZ8bj/r\noszCeL1JOuqCoRHvJ2E5hXEukn7//v3J72inOJ5KqVv1t1UHcrf7AE5JTcjyPp333nayjqVJWN7X\nc5u9gqbkvXzXdPbtkkGZ3mVKVpdIGUEiBgAAMNjQRKy2HmYr/lS60KvZVjm995Q8R6YK2U80z9kb\nZzOXLmjtPC3KLNy8Xa2PuxYOjegnYU+fPt16Xe1KwSI2v7dMoOemr+9du98hsGZ16vc6Xv6PP/54\nd2yO38pkLO/b9d6eSVg7Hrh+XyZcmbz1prPP56l2vPAhErBKIgYAADDYQceI9WrPEbtrp1kD7s2E\n1Z4vj81UIfuYZp/QOs5maia83r+B06DMwji9BUN7Y8UiNjNi9ZKw7777bvK7fvzxx+515O/w/Px8\n63t719X+7fcGrFl9HsptjmXP55VMwtpxuu14sSVqb4iIzf0/7/05rmxp76TbQiIGAAAw2EHGiNXX\nU+lCTx6bCcFcCpHnz9p51pKzll5noJtLF7RuniZlFm6PXjIW8f4MXTUJy9bSJ0+eRETEs2fPtt6P\n2KRjOUYzz9lLwgDWaGpG2Ppe3eZzSU3EljwnnTKJGAAAwGAHGSOWarrQqjXoWuOuLZRz568rZvfW\nYJpKF3rn5DQps3CcMgn78ssvt/b//vvvh7gcgFtr7jmlN0Y2exDkDIc58+HcuPh9tc9edUx93stz\ndsRjIREDAAAY7KCzJlZzKUO+lzOn5HaJmh70tlNja6QJRCizsBa5bliOEQNgf3V9x9zWRCxnSMy1\nwi4jx5u1zzd1Pdc6W2KuH5azNub7be+lJb2KbppEDAAAYLCDzJq4ZJ2VWkut6UJaMt6md85d27lz\ncRqUWViXbBXN8QTtOmKZltWW02xxNSMpwLSakNWZbNu1w7799tuIiHj06NHWMXmvzQQsZ5ueGp+f\nx+RnenLMWCZj+bmIzQyP+4y7v24SMQAAgMFUxAAAAAY76GQdc9296jG5zdhwnwU1e4vy9vbv2sfp\nUWbhuOXkHDmNfS7wbEFngKur3Qeza3d29c6ugRGbiTSyi+IuOUV92w0x/146bX1ez1TXxHxvybCP\nuf2XIREDAAAY7FYs6LxkIoR9jt11jt7rXftBmYXDqa2UbetobX3NiTcy5crkqy7gbLIOgP3VBCy3\nmTJl8tQmYdXSZCzv23lvbmUStnTa+nbCj3pP703WcZP3fIkYAADAYAdNxNJUTbOXItSU4bLn3+d9\nqJRZmLa0nC9Jk3vbTKjahTlzDEGmWlWbfLXa43/++eetfXnOXcmYBdWP23WUWViTueeW3v0v75OZ\niJ2fny/+vl4ylmlWTb3mzpFJ2C+//LL1OhO6vL6I3dPWj/jNS8QAAAAGuxWJ2JRaC6218qvUUrVq\ncROUWdZixKyAl0mIs9WyLvoZEfHy5cvZc+RMiFU75iCTsGx9zXPWhUP3WfTTb3eMQ5dZ/8+sWVu+\na++fufvyvmoyVhOwfH9KLwnL8WWZ0LWJ2CFnS0wSMQAAgMFubSJWaW3i2Ciz3HbXkSL0ztHbv2Rs\nWH1dx4bts55XjvPKNcGqqXFmmYS9evUqIjYtvGZRPLzbWmavMjsuHJNaxttZCK9LL/lqZ2Cs64bV\n9cpqEpb39zax29XLwRgxAACAFTqaRAyAq5tq9d83IVhy7D7pwq5WyNri2q4f1pPHZGvo3bt3Z4+L\n2CRe2WJaZ9mqradTragSket3TGX2OscGw6FNlesRiVhNu1I7pjeTr7xv1/t3Lwlre0H0ErGRv1uJ\nGAAAwGASMYAVm0sI6lirpQnBZc6V5tbe6rWs9saKzR2brZ6ZhC1JO/K8dZ2yun/JDFuSkMtbU5k1\ndow1mJs1MV1HMrbPmN7acyG/P3sw5LY3xrf9zK5E7CZ/vxIxAACAwSRiACu0JCnIfXfu3Nl6vc+s\nhCnP0TtXbWlsW09rwtVLG/J1fkf7ucvOsDiXcvTGD8y1/Eo+Lm9NZbaeQzLGWuwq05dJxvL3dO/e\nvYjY/Car9tw1+aq/wV6PhvYch0zCkkQMAABgMBUxAACAwXRNBFiRXd272i4ftZtXTmzR66qVpgZu\n5zbPUSfJqF0G265deUx9L6+j10Vxqhta7TazT1e13iQch1zs8xSsucz2uijWa4Jjcx1dFOtvLCfW\nWNKVvHZB7N2v64Qc7XUdsktikogBAAAMJhEDWKFeqtDur0lAThncSwjSVLqQPvzww8lz1Snhs+Vz\n6hxpVzI21Tp6lenMe62iuxb5lGxcjzWXWZN1sFZXScZqItabpGNKL/nq3bfnlqHovR5BIgYAADCY\nRAxgxWqqkK397d85ZXAmA72EILVjZep79+/fj4iIjz76aOscmSrkgp0vX75c/G/opQxLFlK+SiLW\n2y/VuFlrLrMtKRlrsk8y1lvu4TrG9Nb3e8fPHTuSRAwAAGAwiRjAivQWuK1jaCLeTxUePHgQEREP\nHz6MiPcTgpRJwdR7+fqzzz6LiE3a8ObNm4iIePHixSX/Ze8v0twaMX5LcnEzTr3MSsZYk33K9dRs\nopf9vqWvl743ikQMAABgMIkYwIrUdZbqekuZKET0U4XHjx9HxPsJQcqkYOq99Pnnn2+d4yqpQloy\nG9d1tHDehlbSU6LMKm+sz1wydhNp8NJz3Lbfm0QMAABgMIkYwIr0xtnkOJhMFCJ2pwpPnz7dep3a\npKC+V3333XcREfHjjz/u+095pzc7VjuuwMyGx0uZhfWaGwd2k7+BY/l9ScQAAAAGk4gBrFAdd5Mp\nQ5suLE0VMiFIbVJQ36s+/fTTreP2SRlyxrmc8W5uBrrKTHTHR5lVZlmvuXJ9nbMmHhuJGAAAwGAS\nMYAV2bUmU7uGUq65tCtVyIQgtYlCvvfkyZPJ66kz1C1JGV6/fh0REefn51vX3vu3tX8fe+voKVJm\nlVlO2yn/BiRiAAAAg6mIAQAADKZrIsCK9bp7RWy6fGVXrF73rq+//nrrnG2XrvrZthtZxGbSgqrt\nKpZdvp4/f751jl73LtZNmQVOhUQMAABgMIkYAJMyRcjkICdKaBODTAJyX77OY6s3b95ERMTvv/9+\nA1fMqVNmgWMiEQMAABhMIgbApGfPnkXE+9N5t3799deI2KQGdfxNevHixdY54SYos8AxkYgBAAAM\nJhEDWLFcKDO3//zzz7v3coxMJgOZAOSMcO0sce1xrUwLcvxMzlpXj63HtYvj5vfmZ/K68lrrv4F1\nU2aBUyERAwAAGEwiBrAitSW+pgrt7HGvX7+OiE3rflVThrlZ45Yem8e13/nzzz9v7cvr2pUytGmD\n5OF4KbPAqZKIAQAADHY2skXm7OxM8w9dFxcXZ4e+hkqZZc5tLLP37t27iIi4c+e/drZcI+nevXsR\nsT2b3IMHDyIi4uHDhxER8fjx44jYzB739OnTrddzMhnYdWwel4lCu++3336LiIiXL19GRMSrV68i\nYjMO5+3btxGxSR3+/fffd+fIv43NmafMbiizx+E2ltkIzwfMW1puJWIAAACDGSMGsCK9cTZnZ2db\n2308f/585zGZAOw6ts52F9FPFf7666+IMCPd2imzwKmSiAEAAAwmEQNYkWxxb8eiRGyvxbRUzgSX\nY3bmZAKw69g8Ls8d0U8VcnxNXnv+m+rYmvo3x0WZBU6VRAwAAGAwFTEAAIDBdE0EWJHa3alOgLBE\nHnt+fh4REXfv3l38mV3HTi3Sm926et27liyOm3T3Oj7KrDILp0oiBgAAMJhEDGDFcpKAXCx3LmXI\nlvls+c+kYMn04fnZXcdOpR01ceilCnUyh6nzcvyUWeBUSMQAAAAGk4gBrFBt7a8pQ0R/HMtlFtTd\nN11o04C8tjrldy9VkCSskzILnBqJGAAAwGASMYAVqa38vZSh3df77JJU4arX2f5d04TebHq91xwn\nZRY4VRIxAACAwSRiACvUSxmmZGt+TRNGpQt139yaS3P7OW7KLHBqJGIAAACDScQAVqy2xLeJwa7x\nK6PThd570oTToswCp0IiBgAAMJhEDOCEtC31u8biHLpV/9Dfz+2gzAJrJREDAAAYTCIGcKJ6rfc3\nOc5mn+uASpkF1kQiBgAAMJiKGAAAwGC6JgKwRbcrjo0yCxwjiRgAAMBgKmIAAACDqYgBAAAMpiIG\nAAAwmIoYAADAYCpiAAAAg6mIAQAADKYiBgAAMJiKGAAAwGAqYgAAAIOpiAEAAAymIgYAADCYihgA\nAMBgKmIAAACDqYgBAAAMpiIGAAAwmIoYAADAYCpiAAAAg6mIAQAADKYiBgAAMJiKGAAAwGAqYgAA\nAIOdXVxcHPoaAAAATopEDAAAYDAVMQAAgMFUxAAAAAZTEQMAABhMRQwAAGAwFTEAAIDBVMQAAAAG\nUxEDAAAYTEUMAABgMBUxAACAwVTEAAAABlMRAwAAGExFDAAAYDAVMQAAgMFUxAAAAAZTEQMAABhM\nRQwAAGAwFTEAAIDBVMQAAAAGUxEDAAAYTEUMAABgMBUxAACAwVTEAAAABvs/WSjf91PxWS0AAAAA\nSUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "uts.show_sample_data_as_imgs(X, img_shape, nb_rows=1, nb_cols=5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Non-negative matrix factorization" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "fitting parameters: {'beta_loss': 'frobenius', 'shuffle': False, 'verbose': 0, 'solver': 'cd', 'l1_ratio': 0.0, 'max_iter': 99, 'init': None, 'random_state': None, 'n_components': 7, 'tol': 0.0001, 'alpha': 0.0}\nnumber of iteration: 98\n" ] } ], "source": [ "from sklearn.decomposition import NMF\n", "nmf = NMF(n_components=nb_patterns, max_iter=99)\n", "\n", "X_new = nmf.fit_transform(X[:1200,:])\n", "print ('fitting parameters:', nmf.get_params())\n", "print ('number of iteration:', nmf.n_iter_)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**show the estimated components - dictionary**" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "estimated component matrix: (7, 4096)\n" ] }, { "data": { "image/png": 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dMDlkuNNrac1q9UJ7dKh96ufr/5nLf68V1esEDpp3AXg7gC6MRn9a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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "comp = nmf.components_\n", "coefs = np.sum(np.abs(X_new), axis=0)\n", "print ('estimated component matrix:', comp.shape)\n", "\n", "compSorted = [c[0] for c in sorted(zip(comp, coefs), key=lambda x: x[1], reverse=True) ]\n", "uts.show_sample_data_as_imgs(np.array(compSorted), img_shape, nb_cols=nb_patterns, bool_clr=True)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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pakdEMZKQIqIMJkXtUTTz+dIZwkUpUtSOiHIkIUVECbIwMiLK4doPX2tcElJEnCg9pIgo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\nQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ptn_used = np.sum(np.abs(X_new), axis=0) > 0\n", "atlas_ptns = comp[ptn_used, :].reshape((-1, ) + list_imgs[0].shape)\n", "\n", "atlas_ptns = comp.reshape((-1, ) + list_imgs[0].shape)\n", "atlas_estim = np.argmax(atlas_ptns, axis=0) + 1\n", "atlas_sum = np.sum(np.abs(atlas_ptns), axis=0)\n", "atlas_estim[atlas_sum < 1e-1] = 0\n", "_ = plt.imshow(atlas_estim, interpolation='nearest'), plt.colorbar()" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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BaBhXMCUd6UXkKpwmx9+/xOsfE5FdIrKr7TLD7o/sbsXyCfUZutbilTSsqCAe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\n4OOobdP+wANeh2J4JBaJs+v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31jHAyY4BYsOmdK8tyWbZ7EKWVReydHYBy6sLKQr60aEY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\nquAGcYF4EDwgHnB5MNxRiESD2L9GPGLEIUY84EVEM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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "l_idx = [1, 30, 40]\n", "fig, axr = plt.subplots(len(l_idx), 2, figsize=(10, 2.5 * len(l_idx)))\n", "for i, idx in enumerate(l_idx):\n", " axr[i, 0].plot(atlas_ptns[:,:,idx].T), axr[i, 0].set_xlim([0, 63])\n", " axr[i, 0].set_title('col: {}'.format(idx))\n", " axr[i, 1].plot(np.abs(atlas_ptns[:,idx,:].T)), axr[i, 1].set_xlim([0, 63])\n", " axr[i, 1].set_title('sum over comp.')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**particular coding of each sample**" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(6, 3))\n", "plt.imshow(X_new[:20,:], interpolation='nearest', aspect='auto'), plt.colorbar()\n", "_= plt.xlabel('components'), plt.ylabel('samples')\n", "\n", "coefs = np.sum(np.abs(X_new), axis=0)\n", "# print 'used coeficients:', coefs.tolist()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**backword reconstruction from encoding and dictionary**" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "model applies by reverting the unmixing (200, 4096)\n" ] } ], "source": [ "res = np.dot(X_new, comp)\n", "print ('model applies by reverting the unmixing', res.shape)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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ssR5E5C4Avw3gHaq6NUlXCSmlXMfUMKkGfhoGAumYwQcJjPf0rhMADorIrTBC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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "uts.show_sample_data_as_imgs(res, img_shape, nb_rows=2, nb_cols=3, bool_clr=True)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "" ] } ], "metadata": { "signature": "sha256:d4215b10e3d82d9bebe1f8ffb6bcb8bf0258242871f8b37a3fd1da21cf8f0ad6" }, "nbformat": 4, "nbformat_minor": 0 }