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{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 1D Wasserstein barycenter demo"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pylab as pl\n",
    "import ot\n",
    "\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "from matplotlib.collections import PolyCollection\n",
    "from matplotlib.colors import colorConverter"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Dataset Generation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "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.get_1D_gauss(n,m=20,s=5) # m= mean, s= std\n",
    "a2=ot.datasets.get_1D_gauss(n,m=60,s=8)\n",
    "\n",
    "# creating matrix A containing all distributions\n",
    "A=np.vstack((a1,a2)).T\n",
    "nbd=A.shape[1]\n",
    "\n",
    "# loss matrix + normalization\n",
    "M=ot.utils.dist0(n)\n",
    "M/=M.max()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Plot distributions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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pdOwILVrUzPl794Yvv4R1mn4rIpJSqvNZcjww2sxGmVkP4BGgETAJwMyeMrPfl2n/J2CI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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fd9188cfed0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pl.figure(1)\n",
    "for i in range(nbd):\n",
    "    pl.plot(x,A[:,i])\n",
    "pl.title('Distributions')\n",
    "pl.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Barycenter computation (for l2 and Wasserstein)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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eoap2PGAmtm+Hb76Btvl3+f4Jq1DB9cZMm+Z3JsYvKWkpdJ3YldJFS/N+x/eJ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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fd9548e8490>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# l2bary\n",
    "bary_l2=A.mean(1)\n",
    "\n",
    "# wasserstein\n",
    "reg=1e-3\n",
    "bary_wass=ot.bregman.barycenter(A,M,reg)\n",
    "\n",
    "pl.figure(2)\n",
    "pl.clf()\n",
    "pl.subplot(2,1,1)\n",
    "for i in range(nbd):\n",
    "    pl.plot(x,A[:,i])\n",
    "pl.title('Distributions')\n",
    "pl.xticks([])\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",
    "\n",
    "pl.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "## Barycenter interpolation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "\n",
    "nbalpha=11\n",
    "alphalist=np.linspace(0,1,nbalpha)\n",
    "\n",
    "\n",
    "B_l2=np.zeros((n,nbalpha))\n",
    "\n",
    "B_wass=np.copy(B_l2)\n",
    "\n",
    "for i in range(0,nbalpha):\n",
    "    alpha=alphalist[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)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plot interpolation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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MnDkTy5cvxw033ICXXnoJJSUlqKysRE5Ojt/+FRUVmDhxIhYsWIBRo0Zh3bp1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Vq1eTmZmpX7P6+vpIL7qEgoKiCKs7pJa6Y5KId6brrO74+KFbIUqSSGHBbs7UFbJgwSzuu+/r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\nFGUrsEpRlMmAPfAJsP4uK6wlknrJ/wOb9inBmId1nwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fd9165a66d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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4//KPT/+VhFqiNiEJskSNwC9vSYVYuOCD1Wp1EOLo6GgoFAoAgF6vr8nmS512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Uk0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\nAlhjjJkMNANWAFvucIW1Uk3S/wOA7iEME+ag6QAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fd9165a6bd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "pl.figure(3)\n",
    "\n",
    "#pl.subplot(1,2,1)\n",
    "cmap=pl.cm.get_cmap('viridis')\n",
    "verts = []\n",
    "zs = alphalist\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 alphalist])\n",
    "poly.set_alpha(0.7)\n",
    "ax.add_collection3d(poly, zs=zs, zdir='y')\n",
    "\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",
    "\n",
    "pl.show()\n",
    "\n",
    "pl.figure(4)\n",
    "\n",
    "#pl.subplot(1,2,1)\n",
    "cmap=pl.cm.get_cmap('viridis')\n",
    "verts = []\n",
    "zs = alphalist\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 alphalist])\n",
    "poly.set_alpha(0.7)\n",
    "ax.add_collection3d(poly, zs=zs, zdir='y')\n",
    "\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",
    "\n",
    "pl.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "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",
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