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authorRémi Flamary <remi.flamary@gmail.com>2016-10-27 17:29:36 +0200
committerRémi Flamary <remi.flamary@gmail.com>2016-10-27 17:29:36 +0200
commitd79fee64d4d8d318375f0ccba25bf71ae37ed1ea (patch)
tree8e2877034839cdd4d22109a1d4d3716d7e1dfe84 /examples
parent1c554920fbcbf15338a1cc3e50c7f27e0cb89597 (diff)
new notebook
Diffstat (limited to 'examples')
-rw-r--r--examples/Demo_2D_Ot_samples.ipynb233
-rw-r--r--examples/demo_OT_2D_samples.py17
2 files changed, 242 insertions, 8 deletions
diff --git a/examples/Demo_2D_Ot_samples.ipynb b/examples/Demo_2D_Ot_samples.ipynb
new file mode 100644
index 0000000..7e500f0
--- /dev/null
+++ b/examples/Demo_2D_Ot_samples.ipynb
@@ -0,0 +1,233 @@
+{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:c74366ad23ce9af1038df1dfcbb934ba1d17d5cc990fc236b364db121e4eed9d"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import numpy as np\n",
+ "import matplotlib.pylab as pl\n",
+ "import ot"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [],
+ "prompt_number": 1
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Data generation"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "n=20 # nb samples\n",
+ "\n",
+ "mu_s=np.array([0,0])\n",
+ "cov_s=np.array([[1,0],[0,1]])\n",
+ "\n",
+ "mu_t=np.array([4,4])\n",
+ "cov_t=np.array([[1,-.8],[-.8,1]])\n",
+ "\n",
+ "xs=ot.datasets.get_2D_samples_gauss(n,mu_s,cov_s)\n",
+ "xt=ot.datasets.get_2D_samples_gauss(n,mu_t,cov_t)\n",
+ "\n",
+ "a,b = ot.unif(n),ot.unif(n)\n",
+ "\n",
+ "# loss matrix\n",
+ "M=ot.dist(xs,xt)\n",
+ "M/=M.max()"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [],
+ "prompt_number": 2
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Plot dataset"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "pl.figure(1)\n",
+ "pl.plot(xs[:,0],xs[:,1],'+b',label='Source samples')\n",
+ "pl.plot(xt[:,0],xt[:,1],'xr',label='Target samples')\n",
+ "pl.legend(loc=0)\n",
+ "pl.title('Source and traget distributions')\n",
+ "\n",
+ "pl.figure(2)\n",
+ "pl.imshow(M,interpolation='nearest')\n",
+ "pl.title('Cost matrix M')\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "pyout",
+ "prompt_number": 3,
+ "text": [
+ "<matplotlib.text.Text at 0x7f938fba65d0>"
+ ]
+ },
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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+ "text": [
+ "<matplotlib.figure.Figure at 0x7f9398039590>"
+ ]
+ },
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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+ "text": [
+ "<matplotlib.figure.Figure at 0x7f938fb6ee10>"
+ ]
+ }
+ ],
+ "prompt_number": 3
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Solve OT"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "G0=ot.emd(a,b,M)\n",
+ "\n",
+ "\n",
+ "pl.figure(3)\n",
+ "pl.imshow(G0,interpolation='nearest')\n",
+ "pl.title('Cost matrix M')\n",
+ "\n",
+ "pl.figure(4)\n",
+ "ot.plot.plot2D_samples_mat(xs,xt,G0,c=[.5,.5,1])\n",
+ "pl.plot(xs[:,0],xs[:,1],'+b',label='Source samples')\n",
+ "pl.plot(xt[:,0],xt[:,1],'xr',label='Target samples')\n",
+ "pl.legend(loc=0)\n",
+ "pl.title('OT matrix')\n",
+ "\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "pyout",
+ "prompt_number": 4,
+ "text": [
+ "<matplotlib.text.Text at 0x7f938f929910>"
+ ]
+ },
+ {
+ "metadata": {},
+ "output_type": "display_data",
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+ "text": [
+ "<matplotlib.figure.Figure at 0x7f938fadd110>"
+ ]
+ },
+ {
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DOum5JjinTGE0vm8ftebNm1uv/RIqOBwk6KtXPU90gF7LxmrlCmj48OCP06gI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\nXKmnTp1Sl8ulc+fO1YSEBHW5XKqqOm3aNG3btq1u27ZN3W63jh49Wrt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+ "text": [
+ "<matplotlib.figure.Figure at 0x7f938f9d22d0>"
+ ]
+ }
+ ],
+ "prompt_number": 4
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Solve OT with entropic regularization"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "# reg term\n",
+ "lambd=5e-3\n",
+ "\n",
+ "Gs=ot.sinkhorn(a,b,M,lambd)\n",
+ "\n",
+ "pl.figure(5)\n",
+ "pl.imshow(Gs,interpolation='nearest')\n",
+ "pl.title('OT matrix sinkhorn')\n",
+ "\n",
+ "pl.figure(6)\n",
+ "ot.plot.plot2D_samples_mat(xs,xt,Gs,color=[.5,.5,1])\n",
+ "pl.plot(xs[:,0],xs[:,1],'+b',label='Source samples')\n",
+ "pl.plot(xt[:,0],xt[:,1],'xr',label='Target samples')\n",
+ "pl.legend(loc=0)\n",
+ "pl.title('OT matrix Sinkhorn with samples')"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "pyout",
+ "prompt_number": 6,
+ "text": [
+ "<matplotlib.text.Text at 0x7f938f76fbd0>"
+ ]
+ },
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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+ "text": [
+ "<matplotlib.figure.Figure at 0x7f938f880a50>"
+ ]
+ },
+ {
+ "metadata": {},
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NbQk0/9EOnPilnXjpVPwVDXltLYObgwcSuOO/duDkT27HDV/ZhZo/ZhldXc/T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+ "text": [
+ "<matplotlib.figure.Figure at 0x7f938f7c0ad0>"
+ ]
+ }
+ ],
+ "prompt_number": 6
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [],
+ "language": "python",
+ "metadata": {},
+ "outputs": []
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+} \ No newline at end of file
diff --git a/examples/demo_OT_2D_samples.py b/examples/demo_OT_2D_samples.py
index d7de2c7..5fc214f 100644
--- a/examples/demo_OT_2D_samples.py
+++ b/examples/demo_OT_2D_samples.py
@@ -13,7 +13,7 @@ import ot
#%% parameters
-n=20 # nb bins
+n=20 # nb samples
mu_s=np.array([0,0])
cov_s=np.array([[1,0],[0,1]])
@@ -28,7 +28,7 @@ a,b = ot.unif(n),ot.unif(n)
# loss matrix
M=ot.dist(xs,xt)
-#M/=M.max()
+M/=M.max()
#%% plot samples
@@ -50,32 +50,33 @@ G0=ot.emd(a,b,M)
pl.figure(3)
pl.imshow(G0,interpolation='nearest')
-pl.title('Cost matrix M')
+pl.title('OT matrix G0')
pl.figure(4)
ot.plot.plot2D_samples_mat(xs,xt,G0,c=[.5,.5,1])
pl.plot(xs[:,0],xs[:,1],'+b',label='Source samples')
pl.plot(xt[:,0],xt[:,1],'xr',label='Target samples')
pl.legend(loc=0)
-pl.title('OT matrix')
+pl.title('OT matrix with samples')
#%% sinkhorn
-lambd=1e-1
-Gs=ot.sinkhorn(a,b,M,lambd)
+# reg term
+lambd=5e-3
+Gs=ot.sinkhorn(a,b,M,lambd)
pl.figure(5)
pl.imshow(Gs,interpolation='nearest')
-pl.title('Cost matrix M')
+pl.title('OT matrix sinkhorn')
pl.figure(6)
ot.plot.plot2D_samples_mat(xs,xt,Gs,color=[.5,.5,1])
pl.plot(xs[:,0],xs[:,1],'+b',label='Source samples')
pl.plot(xt[:,0],xt[:,1],'xr',label='Target samples')
pl.legend(loc=0)
-pl.title('OT matrix Sinkhorn')
+pl.title('OT matrix Sinkhorn with samples')
#
#pl.figure(3)