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path: root/notebooks/plot_partial_wass_and_gromov.ipynb
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Diffstat (limited to 'notebooks/plot_partial_wass_and_gromov.ipynb')
-rw-r--r--notebooks/plot_partial_wass_and_gromov.ipynb42
1 files changed, 20 insertions, 22 deletions
diff --git a/notebooks/plot_partial_wass_and_gromov.ipynb b/notebooks/plot_partial_wass_and_gromov.ipynb
index 017fd8c..6bf0bc6 100644
--- a/notebooks/plot_partial_wass_and_gromov.ipynb
+++ b/notebooks/plot_partial_wass_and_gromov.ipynb
@@ -64,7 +64,7 @@
"outputs": [
{
"data": {
- "image/png": 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\n",
+ "image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 3 Axes>"
]
@@ -103,8 +103,7 @@
"cell_type": "markdown",
"metadata": {},
"source": [
- "Compute partial Wasserstein plans and distance,\n",
- "by transporting 50% of the mass\n",
+ "Compute partial Wasserstein plans and distance\n",
"----------------------------------------------\n",
"\n"
]
@@ -120,13 +119,13 @@
"name": "stdout",
"output_type": "stream",
"text": [
- "Partial Wasserstein distance (m = 0.5): 0.485157824314826\n",
- "Entropic partial Wasserstein distance (m = 0.5): 0.5048991597745197\n"
+ "Partial Wasserstein distance (m = 0.5): 0.45151590745848863\n",
+ "Entropic partial Wasserstein distance (m = 0.5): 0.46654948274375097\n"
]
},
{
"data": {
- "image/png": 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/OAIFAACQiQIKAAAgEwUUAABAJgooAACATBRQAAAAmUa9F57tSyQdIWlNROyR2qZJukLSTEnLJB0bEc/2bpjt455vGO/4O85TXQ6zmt9f7bXKxvrVeLq07zSX3dvuopL2VveCq27MOnGoeftFF7ZYaUV18fUfStpfKWm/qcLY+eqbbVemntl2ZQZ3tl2+do5AXSrpkBFtp0v6YUTsKumH6WcAGESXihwGoGKjFlARcbvWv0X3UZLmp+fzJR1d8bgAoBLkMAC90Ok5UNMjYmV6vkrS9IrGAwB1IIcB6Mqo50CNJiLCdunlzG3P1ZuX792q23AAUKlWOYz8BaBMp0egVtueIUnp3zVlC0bEBRExu7gU+pQOwwFApdrKYevmr81qHSCAwdZpAXW9pDnp+RxJ11UzHACoBTkMQFfauYzBZZIOkrSt7eWSzpA0T9KVtj8l6XGV352wdq2meI+9m7AC6NZYymGneZvSvjnx/abt8122RoWXKmjloqGSjr1arFThZQzmvbd5+7KS5f+2v5cxwPgxagEVEZ8o6Ro/F3MAMG6RwwD0AlciBwAAyEQBBQAAkIkCCgAAIBMFFAAAQKauL6TZa1XOnGO2HYDOhZrPbPtg6RpL49NN29/tE7Kjz/fq7HVK3TbUvP2gkvaO3NOib4eS9g5m550+lL8OUAGOQAEAAGSigAIAAMhEAQUAAJCJAgoAACATBRQAAEAmCigAAIBMA38ZAy49MHFx82eMDT8p7enkcgW1KLtcwY4l7atabGttyTotrelgnbHl355rnr82mjrW8lf5ZTpa/e1PBByBAgAAyEQBBQAAkIkCCgAAIBMFFAAAQCYKKAAAgEwDPwtvvCibUSYxq6wMrwvGvskl7c1uStx/ez1xR9P2j+uK0nVO8zYdRDqypP17HWxrMI292XZlJvZMu1Y4AgUAAJCJAgoAACATBRQAAEAmCigAAIBMoxZQti+xvcb2koa2IdsrbC9Oj8N6O0wA6Aw5DEAvtDML71JJ50v6uxHt50XE2ZWPaIzIvU8bM8qAvrlUVeSwSdtLU4fWbz+xxTrzymbblc1qe6Tt4YzuN8u7zv6Dps33eKh5uzqZaXdQi77c2XZ/2qLvvJL2sv/eXsmMDTQ36hGoiLhd0jM1jAUAKkcOA9AL3ZwDdYrt+9Lh8a0rGxEA1IMcBqBjnRZQX5e0i6RZklZKOqdsQdtzbS+0vVB6ucNwAFCptnLYOvnrjSfrHB+AAddRARURqyPi9Yh4Q9KFkvZpsewFETE7ImZLUzodJwBUpt0ctk7+2mC7egcJYKB1VEDZntHw48ckLSlbFgAGDTkMQLdGnYVn+zIV0ym2tb1c0hmSDrI9S1JIWibppB6OEQA6Rg4D0AuOiPqCefuQ5tYWbyLKvbwC0HtnLiq+wh/bxlf+GsybHJO/MHjK8xdXIgcAAMhEAQUAAJCJAgoAACATBRQAAEAmCigAAIBM7dxMeMIqmxEiDe6skEEdFzD2bSNpzvrNk95RvsraW0o67i9pfz5zTC38w1B53yFls6/Lc16+97Toa77/pflr3lD5pk4/q+0RFfo70xDjB0egAAAAMlFAAQAAZKKAAgAAyEQBBQAAkIkCCgAAIBP3wqsY93ICRuJeeGPFEfHbTdtvWHFk+Uo7zusgUj/vxfeBFn0Lqguz+VDz9hdL2gfWli36Kpw1OrC4Fx4AAEBlKKAAAAAyUUABAABkooACAADIRAEFAACQiQIKAAAgE5cxGGBj8WbGwPrGyWUMNp0dmrlw/Y6HhjrYWh3T+E9s0XdRhXGam/zUn5T2vbbtuZlb26u8a+a/b97+GyXL3zmUGRsTG5cxAAAAqAwFFAAAQCYKKAAAgEwUUAAAAJlGLaBs72T7VtsP2n7A9mdS+zTbt9h+OP27de+HCwDtI38B6JVRZ+HZniFpRkTcY3sLSYskHS3pBEnPRMQ826dL2joiTmu9LWbhARNP/2bhkb8AdKeLWXgRsTIi7knPX5C0VNIOko6SND8tNl9FUgKAgUH+AtArWedA2Z4paU9JCyRNj4iVqWuVpOmVjgwAKkT+AlCltgso25tLulrSqRHxfGNfFN8DNv0u0PZc2wttL5Re7mqwANAJ8heAqrVVQNmerCL5fCcivpeaV6fzC4bPM1jTbN2IuCAiZhffIU6pYswA0DbyF4BeaGcWniVdLGlpRDRef/96SXPS8zmSrqt+eADQOfIXgF6Z1MYyH5R0vKT7bS9ObV+UNE/SlbY/JelxScf2ZogA0DHyF4CeGLWAiog7JLmk+8PVDgcAqkP+AtArXIkcAAAgEwUUAABAJgooAACATBRQAAAAmSigAAAAMlFAAQAAZKKAAgAAyEQBBQAAkIkCCgAAIBMFFAAAQCYKKAAAgEwUUAAAAJkooAAAADJRQAEAAGSigAIAAMhEAQUAAJCJAgoAACATBRQAAEAmCigAAIBMFFAAAACZKKAAAAAyUUABAABkooACAADINGoBZXsn27faftD2A7Y/k9qHbK+wvTg9Duv9cAGgfeQvAL0yqY1l1kr6bETcY3sLSYts35L6zouIs3s3PADoCvkLQE+MWkBFxEpJK9PzF2wvlbRDrwcGAN0ifwHolaxzoGzPlLSnpAWp6RTb99m+xPbWFY8NACpD/gJQpbYLKNubS7pa0qkR8bykr0vaRdIsFZ/wzilZb67thbYXSi9XMGQAyEP+AlC1tgoo25NVJJ/vRMT3JCkiVkfE6xHxhqQLJe3TbN2IuCAiZkfEbGlKVeMGgLaQvwD0Qjuz8CzpYklLI+LchvYZDYt9TNKS6ocHAJ0jfwHolXZm4X1Q0vGS7re9OLV9UdInbM+SFJKWSTqpJyMEgM6RvwD0RDuz8O6Q5CZdN1Y/HACoDvkLQK9wJXIAAIBMFFAAAACZKKAAAAAyUUABAABkooACAADIRAEFAACQiQIKAAAgEwUUAABAJgooAACATBRQAAAAmSigAAAAMlFAAQAAZKKAAgAAyEQBBQAAkIkCCgAAIBMFFAAAQCYKKAAAgEwUUAAAAJkooAAAADJRQAEAAGSigAIAAMhEAQUAAJCJAgoAACDTqAWU7U1s32X7XtsP2D4ztb/D9gLbj9i+wvZGvR8uAOQhhwHohXaOQL0q6eCIeJ+kWZIOsb2vpK9KOi8iflPSs5I+1bthAkDHyGEAKjdqARWFF9OPk9MjJB0s6arUPl/S0T0ZIQB0gRwGoBfaOgfK9oa2F0taI+kWSY9Kei4i1qZFlkvaoTdDBIDukMMAVK2tAioiXo+IWZJ2lLSPpN3aDWB7ru2FthdKL3c4TADoXKc5jPwFoEzWLLyIeE7SrZL2kzTV9qTUtaOkFSXrXBARsyNitjSlq8ECQDdycxj5C0CZdmbhbWd7anq+qaSPSFqqIgkdkxabI+m6Xg0SADpFDgPQC5NGX0QzJM23vaGKguvKiLjB9oOSLrf9ZUn/IuniHo4TADpFDgNQuVELqIi4T9KeTdofU3EuAQAMLHIYgF7gSuQAAACZKKAAAAAyUUABAABkooACAADIRAEFAACQiQIKAAAgEwUUAABAJgooAACATBRQAAAAmSigAAAAMlFAAQAAZKKAAgAAyEQBBQAAkIkCCgAAIBMFFAAAQCYKKAAAgEwUUAAAAJkooAAAADJRQAEAAGSigAIAAMhEAQUAAJCJAgoAACDTqAWU7U1s32X7XtsP2D4ztV9q+xe2F6fHrN4PFwDaR/4C0CuT2ljmVUkHR8SLtidLusP2Tanv8xFxVe+GBwBdIX8B6IlRC6iICEkvph8np0f0clAAUAXyF4BeaescKNsb2l4saY2kWyJiQeo6y/Z9ts+zvXHPRgkAHSJ/AeiFtgqoiHg9ImZJ2lHSPrb3kPQFSbtJer+kaZJOa7au7bm2F9peKL1c0bABoD3kLwC9kDULLyKek3SrpEMiYmUUXpX0TUn7lKxzQUTMjojZ0pTuRwwAHSB/AahSO7PwtrM9NT3fVNJHJD1ke0Zqs6SjJS3p5UABIBf5C0CvtDMLb4ak+bY3VFFwXRkRN9j+ke3tJFnSYkkn93CcANAJ8heAnmhnFt59kvZs0n5wT0YEABUhfwHoFa5EDgAAkIkCCgAAIBMFFAAAQCYKKAAAgEwUUAAAAJkooAAAADJRQAEAAGSigAIAAMhEAQUAAJCJAgoAACATBRQAAEAmCigAAIBMFFAAAACZKKAAAAAyUUABAABkooACAADIRAEFAACQiQIKAAAgEwUUAABAJgooAACATBRQAAAAmSigAAAAMlFAAQAAZKKAAgAAyOSIqC+Y/aSkx9OP20p6qrbg65vI8Sfyvvc7/kTc97dHxHY1x6wc+Yv4AxB7oscfqPxVawG1TmB7YUTM7kvwCR5/Iu97v+NP5H0fT/r9OhKf9/BEjN/vfR+Jr/AAAAAyUUABAABk6mcBdUEfY0/0+BN53/sdfyLv+3jS79eR+BMz9kSP3+99X0ffzoECAAAYq/gKDwAAIFNfCijbh9j+me1HbJ9ec+xltu+3vdj2whriXWJ7je0lDW3TbN9i++H079Y1xx+yvSK9BottH9aj2DvZvtX2g7YfsP2Z1F7L/reIX9f+b2L7Ltv3pvhnpvZ32F6Q/v6vsL1RjbEvtf2Lhn2fVXXs8a6f+SvFnzA5rJ/5K8XqWw6byPlrlPiDk8MiotaHpA0lPSrpnZI2knSvpN1rjL9M0rY1xjtA0l6SljS0/bmk09Pz0yV9teb4Q5I+V8O+z5C0V3q+haSfS9q9rv1vEb+u/bekzdPzyZIWSNpX0pWSjkvtfyvpD2uMfamkY3q97+P10e/8lcYwYXJYP/NXitW3HDaR89co8Qcmh/XjCNQ+kh6JiMci4t8kXS7pqD6MoxYRcbukZ0Y0HyVpfno+X9LRNcevRUSsjIh70vMXJC2VtINq2v8W8WsRhRfTj5PTIyQdLOmq1N6T/W8RG92ZUPlL6m8O62f+SvH7lsMmcv4aJf7A6EcBtYOkJxp+Xq4a/yhU/AJutr3I9twa4zaaHhEr0/NVkqb3YQyn2L4vHSLv2VeIw2zPlLSnik8Rte//iPhSTftve0PbiyWtkXSLiqMXz0XE2rRIz/7+R8aOiOF9Pyvt+3m2N+5F7HGs3/lLIodJNecvqb85bCLmr2bxBy2HTcSTyPePiL0kHSrpj2wf0M/BRHF8su6q+uuSdpE0S9JKSef0MpjtzSVdLenUiHi+sa+O/W8Sv7b9j4jXI2KWpB1VHL3YrVexRottew9JX0hjeL+kaZJOq2s8qMxEz2G15i+pvzlsouavZvEHLYf1o4BaIWmnhp93TG21iIgV6d81kq5R8UdRt9W2Z0hS+ndNncEjYnX6w3xD0oXq4Wtge7KKN/93IuJ7qbm2/W8Wv879HxYRz0m6VdJ+kqbanpS6ev733xD7kPS1QETEq5K+qf78/Y9lfc1fEjms7vdvP3MY+Wu9+AOVw/pRQN0tadd0Jv9Gko6TdH0dgW1vZnuL4eeSPippSeu1euJ6SXPS8zmSrqsz+PAbP/mYevQa2LakiyUtjYhzG7pq2f+y+DXu/3a2p6bnm0r6iIrzGG6VdExarCf7XxL7oYakbxXnLvTj738s61v+kshhUn3v3xSrbzlsIuevFvEHK4dVdTZ6zkPSYSpmFDwq6Us1xn2nilkz90p6oI7Yki5TcZj1NRXfF39K0jaSfijpYUn/T9K0muN/S9L9ku5TkQhm9Cj2/ioObd8naXF6HFbX/reIX9f+v1fSv6Q4SyT974a/w7skPSLpu5I2rjH2j9K+L5H0baVZLjyyXtu+5K+Gv50Jk8P6mb9S/L7lsImcv0aJPzA5jCuRAwAAZJqIJ5EDAAB0hQIKAAAgEwUUAABAJgooAACATBRQAAAAmSigAAAAMlFAAQAAZKKAAgAAyPT/ARoaCgOaN7OYAAAAAElFTkSuQmCC\n",
+ "image/png": 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\n",
"text/plain": [
"<Figure size 720x360 with 2 Axes>"
]
@@ -181,7 +180,7 @@
"outputs": [
{
"data": {
- "image/png": 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\n",
+ "image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
@@ -224,8 +223,7 @@
"cell_type": "markdown",
"metadata": {},
"source": [
- "Compute partial Gromov-Wasserstein plans and distance,\n",
- "by transporting 100% and 2/3 of the mass\n",
+ "Compute partial Gromov-Wasserstein plans and distance\n",
"-----------------------------------------------------\n",
"\n"
]
@@ -242,13 +240,13 @@
"output_type": "stream",
"text": [
"-----m = 1\n",
- "Partial Wasserstein distance (m = 1): 63.419317539744505\n",
- "Entropic partial Wasserstein distance (m = 1): 64.89236221074341\n"
+ "Wasserstein distance (m = 1): 62.612867557378095\n",
+ "Entropic Wasserstein distance (m = 1): 64.09799387131392\n"
]
},
{
"data": {
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\n",
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\n",
"text/plain": [
"<Figure size 720x360 with 2 Axes>"
]
@@ -263,13 +261,13 @@
"output_type": "stream",
"text": [
"-----m = 2/3\n",
- "Partial Wasserstein distance (m = 2/3): 0.17456327357887044\n",
- "Entropic partial Wasserstein distance (m = 2/3): 1.070213997054379\n"
+ "Partial Wasserstein distance (m = 2/3): 0.252736149616858\n",
+ "Entropic partial Wasserstein distance (m = 2/3): 1.407282181449262\n"
]
},
{
"data": {
- "image/png": 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\n",
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\n",
"text/plain": [
"<Figure size 720x360 with 2 Axes>"
]
@@ -284,27 +282,27 @@
"C1 = sp.spatial.distance.cdist(xs, xs)\n",
"C2 = sp.spatial.distance.cdist(xt, xt)\n",
"\n",
+ "# transport 100% of the mass\n",
"print('-----m = 1')\n",
"m = 1\n",
- "res0, log0 = ot.partial.partial_gromov_wasserstein(C1, C2, p, q, m=m,\n",
- " log=True)\n",
+ "res0, log0 = ot.partial.partial_gromov_wasserstein(C1, C2, p, q, m=m, log=True)\n",
"res, log = ot.partial.entropic_partial_gromov_wasserstein(C1, C2, p, q, 10,\n",
" m=m, log=True)\n",
"\n",
- "print('Partial Wasserstein distance (m = 1): ' + str(log0['partial_gw_dist']))\n",
- "print('Entropic partial Wasserstein distance (m = 1): ' +\n",
- " str(log['partial_gw_dist']))\n",
+ "print('Wasserstein distance (m = 1): ' + str(log0['partial_gw_dist']))\n",
+ "print('Entropic Wasserstein distance (m = 1): ' + str(log['partial_gw_dist']))\n",
"\n",
"pl.figure(1, (10, 5))\n",
"pl.title(\"mass to be transported m = 1\")\n",
"pl.subplot(1, 2, 1)\n",
"pl.imshow(res0, cmap='jet')\n",
- "pl.title('Partial Wasserstein')\n",
+ "pl.title('Wasserstein')\n",
"pl.subplot(1, 2, 2)\n",
"pl.imshow(res, cmap='jet')\n",
- "pl.title('Entropic partial Wasserstein')\n",
+ "pl.title('Entropic Wasserstein')\n",
"pl.show()\n",
"\n",
+ "# transport 2/3 of the mass\n",
"print('-----m = 2/3')\n",
"m = 2 / 3\n",
"res0, log0 = ot.partial.partial_gromov_wasserstein(C1, C2, p, q, m=m, log=True)\n",