summaryrefslogtreecommitdiff
path: root/notebooks/plot_compute_emd.ipynb
diff options
context:
space:
mode:
authorRémi Flamary <remi.flamary@gmail.com>2017-09-01 18:42:52 +0200
committerRémi Flamary <remi.flamary@gmail.com>2017-09-01 18:42:52 +0200
commite70313cb2eef5d889532eb004de0eb7361d616e6 (patch)
tree671e891ab385f028fdc9ac445f9a2fbc341a7097 /notebooks/plot_compute_emd.ipynb
parent98ae0808417d0f82e761f85265e8dcfa9ebe7e5f (diff)
add converted notebooks
Diffstat (limited to 'notebooks/plot_compute_emd.ipynb')
-rw-r--r--notebooks/plot_compute_emd.ipynb248
1 files changed, 248 insertions, 0 deletions
diff --git a/notebooks/plot_compute_emd.ipynb b/notebooks/plot_compute_emd.ipynb
new file mode 100644
index 0000000..c5f47c2
--- /dev/null
+++ b/notebooks/plot_compute_emd.ipynb
@@ -0,0 +1,248 @@
+{
+ "cells": [
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "%matplotlib inline"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "\n",
+ "# Plot multiple EMD\n",
+ "\n",
+ "\n",
+ "Shows how to compute multiple EMD and Sinkhorn with two differnt\n",
+ "ground metrics and plot their values for diffeent distributions.\n",
+ "\n",
+ "\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "# Author: Remi Flamary <remi.flamary@unice.fr>\n",
+ "#\n",
+ "# License: MIT License\n",
+ "\n",
+ "import numpy as np\n",
+ "import matplotlib.pylab as pl\n",
+ "import ot\n",
+ "from ot.datasets import get_1D_gauss as gauss"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Generate data\n",
+ "-------------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "#%% parameters\n",
+ "\n",
+ "n = 100 # nb bins\n",
+ "n_target = 50 # nb target distributions\n",
+ "\n",
+ "\n",
+ "# bin positions\n",
+ "x = np.arange(n, dtype=np.float64)\n",
+ "\n",
+ "lst_m = np.linspace(20, 90, n_target)\n",
+ "\n",
+ "# Gaussian distributions\n",
+ "a = gauss(n, m=20, s=5) # m= mean, s= std\n",
+ "\n",
+ "B = np.zeros((n, n_target))\n",
+ "\n",
+ "for i, m in enumerate(lst_m):\n",
+ " B[:, i] = gauss(n, m=m, s=5)\n",
+ "\n",
+ "# loss matrix and normalization\n",
+ "M = ot.dist(x.reshape((n, 1)), x.reshape((n, 1)), 'euclidean')\n",
+ "M /= M.max()\n",
+ "M2 = ot.dist(x.reshape((n, 1)), x.reshape((n, 1)), 'sqeuclidean')\n",
+ "M2 /= M2.max()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Plot data\n",
+ "---------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": "iVBORw0KGgoAAAANSUhEUgAAAagAAAEYCAYAAAAJeGK1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nkfx/0tlkef98PKwAAAAASUVORK5CYII=\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f91fb0dfc50>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "#%% plot the distributions\n",
+ "\n",
+ "pl.figure(1)\n",
+ "pl.subplot(2, 1, 1)\n",
+ "pl.plot(x, a, 'b', label='Source distribution')\n",
+ "pl.title('Source distribution')\n",
+ "pl.subplot(2, 1, 2)\n",
+ "pl.plot(x, B, label='Target distributions')\n",
+ "pl.title('Target distributions')\n",
+ "pl.tight_layout()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Compute EMD for the different losses\n",
+ "------------------------------------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "<matplotlib.legend.Legend at 0x7f91f869ac88>"
+ ]
+ },
+ "execution_count": 5,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXcAAAEICAYAAACktLTqAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nYII=\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f91fb9619b0>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "#%% Compute and plot distributions and loss matrix\n",
+ "\n",
+ "d_emd = ot.emd2(a, B, M) # direct computation of EMD\n",
+ "d_emd2 = ot.emd2(a, B, M2) # direct computation of EMD with loss M2\n",
+ "\n",
+ "\n",
+ "pl.figure(2)\n",
+ "pl.plot(d_emd, label='Euclidean EMD')\n",
+ "pl.plot(d_emd2, label='Squared Euclidean EMD')\n",
+ "pl.title('EMD distances')\n",
+ "pl.legend()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Compute Sinkhorn for the different losses\n",
+ "-----------------------------------------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXcAAAEICAYAAACktLTqAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAFlyN8aYALLkbowxAWTJ3RhjAuj/eLsWIkpeYgYAAAAASUVORK5CYII=\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f91f8ee0278>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "#%%\n",
+ "reg = 1e-2\n",
+ "d_sinkhorn = ot.sinkhorn2(a, B, M, reg)\n",
+ "d_sinkhorn2 = ot.sinkhorn2(a, B, M2, reg)\n",
+ "\n",
+ "pl.figure(2)\n",
+ "pl.clf()\n",
+ "pl.plot(d_emd, label='Euclidean EMD')\n",
+ "pl.plot(d_emd2, label='Squared Euclidean EMD')\n",
+ "pl.plot(d_sinkhorn, '+', label='Euclidean Sinkhorn')\n",
+ "pl.plot(d_sinkhorn2, '+', label='Squared Euclidean Sinkhorn')\n",
+ "pl.title('EMD distances')\n",
+ "pl.legend()\n",
+ "\n",
+ "pl.show()"
+ ]
+ }
+ ],
+ "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": "2.7.12"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}