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authorRémi Flamary <remi.flamary@gmail.com>2016-10-27 17:39:39 +0200
committerRémi Flamary <remi.flamary@gmail.com>2016-10-27 17:39:39 +0200
commit0a4030fd809f677a4723b1cf38d6409b44160533 (patch)
tree805641f5d1360be4e13d78d325c3dcfdbc52673d /examples
parentd79fee64d4d8d318375f0ccba25bf71ae37ed1ea (diff)
Demo 2D samples
Diffstat (limited to 'examples')
-rw-r--r--examples/Demo_2D_Ot_samples.ipynb41
-rw-r--r--examples/demo_OT_2D_samples.py19
2 files changed, 24 insertions, 36 deletions
diff --git a/examples/Demo_2D_Ot_samples.ipynb b/examples/Demo_2D_Ot_samples.ipynb
index 7e500f0..e20b09b 100644
--- a/examples/Demo_2D_Ot_samples.ipynb
+++ b/examples/Demo_2D_Ot_samples.ipynb
@@ -1,7 +1,7 @@
{
"metadata": {
"name": "",
- "signature": "sha256:c74366ad23ce9af1038df1dfcbb934ba1d17d5cc990fc236b364db121e4eed9d"
+ "signature": "sha256:e01831efa84095a87a681a09f08c8991bbe439e010c2bc4cd3559dc4d3bf0bde"
},
"nbformat": 3,
"nbformat_minor": 0,
@@ -43,7 +43,7 @@
"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",
+ "a,b = ot.unif(n),ot.unif(n) # uniform distribution on samples\n",
"\n",
"# loss matrix\n",
"M=ot.dist(xs,xt)\n",
@@ -83,23 +83,23 @@
"output_type": "pyout",
"prompt_number": 3,
"text": [
- "<matplotlib.text.Text at 0x7f938fba65d0>"
+ "<matplotlib.text.Text at 0x7f4fa73d45d0>"
]
},
{
"metadata": {},
"output_type": "display_data",
- "png": 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Cd5pZEcGPw4Pu/mQE7YqISIJ0BqiISBbTGaAiIgVEyVxEJA8omYuI5AElcxGR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\nXEQkDyiZi4jkASVzEZE88P8B8sPqteLhUE0AAAAASUVORK5CYII=\n",
"text": [
- "<matplotlib.figure.Figure at 0x7f9398039590>"
+ "<matplotlib.figure.Figure at 0x7f4fa94e0590>"
]
},
{
"metadata": {},
"output_type": "display_data",
- "png": 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MqfgiGVLxRTKk4otkSMUXyZCKL5IhFV8kQyq+SIaqsmS3joWh3GCWhsccHhxzq6E9Foez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\n",
"text": [
- "<matplotlib.figure.Figure at 0x7f938fb6ee10>"
+ "<matplotlib.figure.Figure at 0x7f4fa7419e10>"
]
}
],
@@ -139,23 +139,23 @@
"output_type": "pyout",
"prompt_number": 4,
"text": [
- "<matplotlib.text.Text at 0x7f938f929910>"
+ "<matplotlib.text.Text at 0x7f4fa724b150>"
]
},
{
"metadata": {},
"output_type": "display_data",
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"text": [
- "<matplotlib.figure.Figure at 0x7f938fadd110>"
+ "<matplotlib.figure.Figure at 0x7f4fa743fd90>"
]
},
{
"metadata": {},
"output_type": "display_data",
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DOum5JjinTGE0vm8ftebNm1uv/RIqOBwk6KtXPU90gF7LxmrlCmj48OCP06gI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\nXKmnTp1Sl8ulc+fO1YSEBHW5XKqqOm3aNG3btq1u27ZN3W63jh49Wrt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wd24wcMtRdH//MKrvPYS17ziXQuT1z8hgFmpYGLs32TXWjz461DN/7jmvxu2n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\n/XWSd0EBCSs62rHnqe6VuXkzf2evOqIabW3Ad75DmWbbNv7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eBnT4MEV/+vTEnmdwkNMD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\nPMDE3DAMIw/4P3FikQvXQruEAAAAAElFTkSuQmCC\n",
"text": [
- "<matplotlib.figure.Figure at 0x7f938f9d22d0>"
+ "<matplotlib.figure.Figure at 0x7f4fa7268ad0>"
]
}
],
@@ -194,29 +194,29 @@
{
"metadata": {},
"output_type": "pyout",
- "prompt_number": 6,
+ "prompt_number": 5,
"text": [
- "<matplotlib.text.Text at 0x7f938f76fbd0>"
+ "<matplotlib.text.Text at 0x7f4fa703c550>"
]
},
{
"metadata": {},
"output_type": "display_data",
- "png": 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"text": [
- "<matplotlib.figure.Figure at 0x7f938f880a50>"
+ "<matplotlib.figure.Figure at 0x7f4fa7133e90>"
]
},
{
"metadata": {},
"output_type": "display_data",
- "png": 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NbQk0/9EOnPilnXjpVPwVDXltLYObgwcSuOO/duDkT27HDV/ZhZo/ZhldXc/T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5eXmorKxEJBLBddddh0gkMq5rFVcNA/CLX/wCmzZtQn9/P2644YaUcnHct7a2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\nKsD/B+WtbS2NfSIEAAAAAElFTkSuQmCC\n",
"text": [
- "<matplotlib.figure.Figure at 0x7f938f7c0ad0>"
+ "<matplotlib.figure.Figure at 0x7f4fa7056ed0>"
]
}
],
- "prompt_number": 6
+ "prompt_number": 5
},
{
"cell_type": "code",
@@ -224,7 +224,8 @@
"input": [],
"language": "python",
"metadata": {},
- "outputs": []
+ "outputs": [],
+ "prompt_number": 5
}
],
"metadata": {}
diff --git a/examples/demo_OT_2D_samples.py b/examples/demo_OT_2D_samples.py
index 5fc214f..e9ec78a 100644
--- a/examples/demo_OT_2D_samples.py
+++ b/examples/demo_OT_2D_samples.py
@@ -9,9 +9,7 @@ import numpy as np
import matplotlib.pylab as pl
import ot
-
-
-#%% parameters
+#%% parameters and data generation
n=20 # nb samples
@@ -24,7 +22,7 @@ cov_t=np.array([[1,-.8],[-.8,1]])
xs=ot.datasets.get_2D_samples_gauss(n,mu_s,cov_s)
xt=ot.datasets.get_2D_samples_gauss(n,mu_t,cov_t)
-a,b = ot.unif(n),ot.unif(n)
+a,b = ot.unif(n),ot.unif(n) # uniform distribution on samples
# loss matrix
M=ot.dist(xs,xt)
@@ -47,7 +45,6 @@ pl.title('Cost matrix M')
G0=ot.emd(a,b,M)
-
pl.figure(3)
pl.imshow(G0,interpolation='nearest')
pl.title('OT matrix G0')
@@ -78,14 +75,4 @@ pl.plot(xt[:,0],xt[:,1],'xr',label='Target samples')
pl.legend(loc=0)
pl.title('OT matrix Sinkhorn with samples')
-#
-#pl.figure(3)
-#ot.plot.otplot1D(a,b,G0,'OT matrix G0')
-#
-##%% Sinkhorn
-#
-#lambd=1e-3
-#Gs=ot.sinkhorn(a,b,M,lambd)
-#
-#pl.figure(4)
-#ot.plot.otplot1D(a,b,Gs,'OT matrix Sinkhorn')
+