{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1) Loading data\n",
      "CRITERION: 0.368259482727\n",
      "NMI: 0.930673152976\n",
      "ARI: 0.959306989875\n",
      "ACCURACY: 0.986378822925\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAZMAAAEWCAYAAACjYXoKAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10126c1d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAS8AAAD/CAYAAACgl1BDAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10126c150>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import scipy.io as io\n",
    "from coclust.CoclustInfo import CoclustInfo\n",
    "from coclust.utils.evaluation import (print_NMI_and_ARI,\n",
    "                                      plot_convergence,\n",
    "                                      accuracy,\n",
    "                                      plot_delta_kl)\n",
    "\n",
    "# Retrieve the Classic3  document-term matrix from a matlab file\n",
    "print(\"1) Loading data\")\n",
    "file_name = \"../datasets/classic3.mat\"\n",
    "matlab_dict = io.loadmat(file_name)\n",
    "X = matlab_dict['A']\n",
    "\n",
    "# Create and fit a model with 3 co-clusters\n",
    "nb_clusters = 3\n",
    "model = CoclustInfo(n_row_clusters=nb_clusters, n_col_clusters=nb_clusters,\n",
    "                    n_init=4, random_state=0)\n",
    "model.fit(X)\n",
    "\n",
    "# Evaluate the results\n",
    "print(\"CRITERION: %s\" % model.criterion)\n",
    "true_row_labels = matlab_dict['labels'].flatten()\n",
    "predicted_row_labels = model.row_labels_\n",
    "print_NMI_and_ARI(true_row_labels, predicted_row_labels)\n",
    "accuracy = accuracy(X, nb_clusters, true_row_labels, predicted_row_labels)\n",
    "print(\"ACCURACY: %s\" % accuracy)\n",
    "\n",
    "# Show convergence\n",
    "plot_convergence(model.criterions, 'P_KL MI', marker='o')\n",
    "\n",
    "plot_delta_kl(model.delta_kl_, model)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.11"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
