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@wohlert
Created April 3, 2019 11:43
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Sinkhorn solver in PyTorch
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n",
"%matplotlib inline\n",
"import seaborn as sns\n",
"import numpy as np\n",
"sns.set_style(\"whitegrid\")\n",
"\n",
"def show_assignments(a, b, P=None, ax=None): \n",
" if P is not None:\n",
" norm_P = P/P.max()\n",
" for i in range(a.shape[0]):\n",
" for j in range(b.shape[0]):\n",
" ax.arrow(a[i, 0], a[i, 1], b[j, 0] - a[i, 0], b[j, 1] - a[i, 1],\n",
" alpha=norm_P[i,j].item(), color=\"r\")\n",
"\n",
" ax = plt if ax is None else ax\n",
" \n",
" ax.scatter(*a.t(), color=\"red\")\n",
" ax.scatter(*b.t(), color=\"blue\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Finding optimal transport plans using the Sinkhorn solver\n",
"\n",
"We will show how one can find the optimal transport plan between empirical (discrete) measures using the Sinkhorn method. This method uses enthropic regularisation to relax the Kantorovich problem to find an approximate solution of the original problem. As such the regularisation constant acts as preventing sparseness of solutions, where we find the optimal transport plan with _maximal entropy_ for a fixed constant $\\epsilon$.\n",
"\n",
"In the limit of $\\epsilon \\to 0$ we achieve the maximum entropy optimal transport plan, while for $\\epsilon \\to \\infty$ the solution is the maximum entropy coupling between independent marginals $a, b$. The solution is found to be the projection of the Boltzmann kernel $\\exp(-C_{i,j}/\\epsilon)$ onto the set of couplings $U(a, b)$.\n",
"\n",
"The sinkhorn algorithm proposes an iterative scheme of alternating matrix-vector products"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"First we generate two empirical distributions that are sampled from two different isotropic Gaussian distributions $X \\sim \\mathcal{N}(0, 2/3), Y \\sim \\mathcal{N}(-2, 1)$. Afterwards we compute the transport plan for three different values of $\\epsilon$ to see the effect of this constant on the produced couplings."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
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mTpwYLS0tcemll8bkyZO3Oj5ozpw5W93f1uyyyy5x2mmnxYIFC2LKlCkxYcKEWLJkSQXf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\nAAAgNcECAAAAkNr/B9EoCjhxhKDXAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a29aaff28>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"f = plt.figure(figsize=(18, 8))\n",
"\n",
"n = 50\n",
"x = torch.randn(n//2, 2) / 1.5\n",
"y = torch.randn(n, 2) - 2.0\n",
"\n",
"show_assignments(x, y)\n",
"\n",
"plt.xlabel(\"x\"); plt.ylabel(\"y\")\n",
"plt.title(\"Data generated from mixture of Gaussians\")\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Finished computing transport plan in 10 iterations\n",
"Finished computing transport plan in 173 iterations\n",
"Finished computing transport plan in 1 iterations\n"
]
},
{
"data": {
"image/png": 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YvHgx3n//fSQlJWH//v3o1asX9u/f77cNc+fORVZWFq666qqA7dywYQNuuukmAEBUVBQu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\n+KJKRZDE6WxbEcdrr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Pz/nHN4jEMeuXeiiGOHDhxLfr6kWPftS2CnoYFzXlHBezEtjeec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\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"text/plain": [
"<matplotlib.figure.Figure at 0x1a29afe748>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from sinkhorn import SinkhornSolver",
"\n",
"f, axarr = plt.subplots(2, 3, figsize=(18, 9))\n",
"\n",
"for i in range(3):\n",
" epsilon = 10**(-(2*i))\n",
" solver = SinkhornSolver(epsilon=epsilon, iterations=10000)\n",
" cost, pi = solver.forward(x, y)\n",
" \n",
" show_assignments(x, y, pi, axarr[0, i])\n",
" axarr[0, i].set_title(\"Epsilon: {0:}. Cost: {1:.2f}\".format(epsilon, cost))\n",
" \n",
" cmap = axarr[1, i].imshow(pi)\n",
" axarr[1, i].set_title(\"Probabilistic transport plan\")\n",
" cbar = plt.colorbar(cmap, ax=axarr[1, i])\n",
" cbar.set_label(\"Probability mass\")\n",
" \n",
"plt.suptitle(\"Assignments\")\n",
"plt.show()"
]
}
],
"metadata": {
"anaconda-cloud": {},
"kernelspec": {
"display_name": "Python (torch35)",
"language": "python",
"name": "torch35"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.0"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
import torch
import torch.nn as nn
class SinkhornSolver(nn.Module):
"""
Optimal Transport solver under entropic regularisation.
Based on the code of Gabriel Peyré.
"""
def __init__(self, epsilon, iterations=100, ground_metric=lambda x: torch.pow(x, 2)):
super(SinkhornSolver, self).__init__()
self.epsilon = epsilon
self.iterations = iterations
self.ground_metric = ground_metric
def forward(self, x, y):
num_x = x.size(-2)
num_y = y.size(-2)
batch_size = 1 if x.dim() == 2 else x.size(0)
# Marginal densities are empirical measures
a = x.new_ones((batch_size, num_x), requires_grad=False) / num_x
b = y.new_ones((batch_size, num_y), requires_grad=False) / num_y
a = a.squeeze()
b = b.squeeze()
# Initialise approximation vectors in log domain
u = torch.zeros_like(a)
v = torch.zeros_like(b)
# Stopping criterion
threshold = 1e-1
# Cost matrix
C = self._compute_cost(x, y)
# Sinkhorn iterations
for i in range(self.iterations):
u0, v0 = u, v
# u^{l+1} = a / (K v^l)
K = self._log_boltzmann_kernel(u, v, C)
u_ = torch.log(a + 1e-8) - torch.logsumexp(K, dim=1)
u = self.epsilon * u_ + u
# v^{l+1} = b / (K^T u^(l+1))
K_t = self._log_boltzmann_kernel(u, v, C).transpose(-2, -1)
v_ = torch.log(b + 1e-8) - torch.logsumexp(K_t, dim=1)
v = self.epsilon * v_ + v
# Size of the change we have performed on u
diff = torch.sum(torch.abs(u - u0), dim=-1) + torch.sum(torch.abs(v - v0), dim=-1)
mean_diff = torch.mean(diff)
if mean_diff.item() < threshold:
break
print("Finished computing transport plan in {} iterations".format(i))
# Transport plan pi = diag(a)*K*diag(b)
K = self._log_boltzmann_kernel(u, v, C)
pi = torch.exp(K)
# Sinkhorn distance
cost = torch.sum(pi * C, dim=(-2, -1))
return cost, pi
def _compute_cost(self, x, y):
x_ = x.unsqueeze(-2)
y_ = y.unsqueeze(-3)
C = torch.sum(self.ground_metric(x_ - y_), dim=-1)
return C
def _log_boltzmann_kernel(self, u, v, C=None):
C = self._compute_cost(x, y) if C is None else C
kernel = -C + u.unsqueeze(-1) + v.unsqueeze(-2)
kernel /= self.epsilon
return kernel
@VividLe
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VividLe commented Apr 23, 2021

I have tried this implementation on my project, and it works quite well. Thanks!

I wonder, given two distributions x and y, why the cost matrix is calculated via L2 distance?

C = self._compute_cost(x, y)

@Stephennnnnnnn
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Really helpful

@utkutpcgl
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utkutpcgl commented Jun 9, 2023

Thank you!
Your implementation (u-v update) is slightly different from textbooks and papers. u-v is mostly updated like this:
image
Where in your code it is updated in a logarithmic momentum-like weighted fashion:
image
I could not find mathematical proof or any explanation regarding this.

Is your implementation a slightly modified version of the Sinkhorn algorithm based on empirical findings and practicality, or is it actually the same Sinkhorn algorithm? Excuse me if I am missing something.

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