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authorRémi Flamary <remi.flamary@gmail.com>2020-04-22 11:39:23 +0200
committerRémi Flamary <remi.flamary@gmail.com>2020-04-22 11:39:23 +0200
commit135c011092cb442b0b874b565b6a2ca3f09234c4 (patch)
tree06a1a5209ee090824ae74af76bd2426295edc424 /notebooks/plot_barycenter_1D.ipynb
parent5f679247f64fa1c8e277f34165850caea311a084 (diff)
remove notebooks and cleanup readme and doc
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-{
- "cells": [
- {
- "cell_type": "code",
- "execution_count": 1,
- "metadata": {
- "collapsed": false
- },
- "outputs": [],
- "source": [
- "%matplotlib inline"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "\n",
- "# 1D Wasserstein barycenter demo\n",
- "\n",
- "\n",
- "This example illustrates the computation of regularized Wassersyein Barycenter\n",
- "as proposed in [3].\n",
- "\n",
- "\n",
- "[3] Benamou, J. D., Carlier, G., Cuturi, M., Nenna, L., & Peyré, G. (2015).\n",
- "Iterative Bregman projections for regularized transportation problems\n",
- "SIAM Journal on Scientific Computing, 37(2), A1111-A1138.\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",
- "# necessary for 3d plot even if not used\n",
- "from mpl_toolkits.mplot3d import Axes3D # noqa\n",
- "from matplotlib.collections import PolyCollection"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Generate data\n",
- "-------------\n",
- "\n"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 3,
- "metadata": {
- "collapsed": false
- },
- "outputs": [],
- "source": [
- "n = 100 # nb bins\n",
- "\n",
- "# bin positions\n",
- "x = np.arange(n, dtype=np.float64)\n",
- "\n",
- "# Gaussian distributions\n",
- "a1 = ot.datasets.make_1D_gauss(n, m=20, s=5) # m= mean, s= std\n",
- "a2 = ot.datasets.make_1D_gauss(n, m=60, s=8)\n",
- "\n",
- "# creating matrix A containing all distributions\n",
- "A = np.vstack((a1, a2)).T\n",
- "n_distributions = A.shape[1]\n",
- "\n",
- "# loss matrix + normalization\n",
- "M = ot.utils.dist0(n)\n",
- "M /= M.max()"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Plot data\n",
- "---------\n",
- "\n"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 4,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "data": {
- "image/png": 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\n",
- "text/plain": [
- "<Figure size 460.8x216 with 1 Axes>"
- ]
- },
- "metadata": {
- "needs_background": "light"
- },
- "output_type": "display_data"
- }
- ],
- "source": [
- "pl.figure(1, figsize=(6.4, 3))\n",
- "for i in range(n_distributions):\n",
- " pl.plot(x, A[:, i])\n",
- "pl.title('Distributions')\n",
- "pl.tight_layout()"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Barycenter computation\n",
- "----------------------\n",
- "\n"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 5,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "data": {
- "image/png": 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\n",
- "text/plain": [
- "<Figure size 432x288 with 2 Axes>"
- ]
- },
- "metadata": {
- "needs_background": "light"
- },
- "output_type": "display_data"
- }
- ],
- "source": [
- "alpha = 0.2 # 0<=alpha<=1\n",
- "weights = np.array([1 - alpha, alpha])\n",
- "\n",
- "# l2bary\n",
- "bary_l2 = A.dot(weights)\n",
- "\n",
- "# wasserstein\n",
- "reg = 1e-3\n",
- "bary_wass = ot.bregman.barycenter(A, M, reg, weights)\n",
- "\n",
- "pl.figure(2)\n",
- "pl.clf()\n",
- "pl.subplot(2, 1, 1)\n",
- "for i in range(n_distributions):\n",
- " pl.plot(x, A[:, i])\n",
- "pl.title('Distributions')\n",
- "\n",
- "pl.subplot(2, 1, 2)\n",
- "pl.plot(x, bary_l2, 'r', label='l2')\n",
- "pl.plot(x, bary_wass, 'g', label='Wasserstein')\n",
- "pl.legend()\n",
- "pl.title('Barycenters')\n",
- "pl.tight_layout()"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Barycentric interpolation\n",
- "-------------------------\n",
- "\n"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 6,
- "metadata": {
- "collapsed": false
- },
- "outputs": [],
- "source": [
- "n_alpha = 11\n",
- "alpha_list = np.linspace(0, 1, n_alpha)\n",
- "\n",
- "\n",
- "B_l2 = np.zeros((n, n_alpha))\n",
- "\n",
- "B_wass = np.copy(B_l2)\n",
- "\n",
- "for i in range(0, n_alpha):\n",
- " alpha = alpha_list[i]\n",
- " weights = np.array([1 - alpha, alpha])\n",
- " B_l2[:, i] = A.dot(weights)\n",
- " B_wass[:, i] = ot.bregman.barycenter(A, M, reg, weights)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 7,
- "metadata": {
- "collapsed": false
- },
- "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"
- },
- {
- "data": {
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\n",
- "text/plain": [
- "<Figure size 432x288 with 1 Axes>"
- ]
- },
- "metadata": {
- "needs_background": "light"
- },
- "output_type": "display_data"
- }
- ],
- "source": [
- "pl.figure(3)\n",
- "\n",
- "cmap = pl.cm.get_cmap('viridis')\n",
- "verts = []\n",
- "zs = alpha_list\n",
- "for i, z in enumerate(zs):\n",
- " ys = B_l2[:, i]\n",
- " verts.append(list(zip(x, ys)))\n",
- "\n",
- "ax = pl.gcf().gca(projection='3d')\n",
- "\n",
- "poly = PolyCollection(verts, facecolors=[cmap(a) for a in alpha_list])\n",
- "poly.set_alpha(0.7)\n",
- "ax.add_collection3d(poly, zs=zs, zdir='y')\n",
- "ax.set_xlabel('x')\n",
- "ax.set_xlim3d(0, n)\n",
- "ax.set_ylabel('$\\\\alpha$')\n",
- "ax.set_ylim3d(0, 1)\n",
- "ax.set_zlabel('')\n",
- "ax.set_zlim3d(0, B_l2.max() * 1.01)\n",
- "pl.title('Barycenter interpolation with l2')\n",
- "pl.tight_layout()\n",
- "\n",
- "pl.figure(4)\n",
- "cmap = pl.cm.get_cmap('viridis')\n",
- "verts = []\n",
- "zs = alpha_list\n",
- "for i, z in enumerate(zs):\n",
- " ys = B_wass[:, i]\n",
- " verts.append(list(zip(x, ys)))\n",
- "\n",
- "ax = pl.gcf().gca(projection='3d')\n",
- "\n",
- "poly = PolyCollection(verts, facecolors=[cmap(a) for a in alpha_list])\n",
- "poly.set_alpha(0.7)\n",
- "ax.add_collection3d(poly, zs=zs, zdir='y')\n",
- "ax.set_xlabel('x')\n",
- "ax.set_xlim3d(0, n)\n",
- "ax.set_ylabel('$\\\\alpha$')\n",
- "ax.set_ylim3d(0, 1)\n",
- "ax.set_zlabel('')\n",
- "ax.set_zlim3d(0, B_l2.max() * 1.01)\n",
- "pl.title('Barycenter interpolation with Wasserstein')\n",
- "pl.tight_layout()\n",
- "\n",
- "pl.show()"
- ]
- }
- ],
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