Examples gallery

This is a gallery of all the POT example files.

OT and regularized OT

Introduction to Optimal Transport with Python

Introduction to Optimal Transport with Python

Optimal Transport for fixed support

Optimal Transport for fixed support

Optimal Transport between empirical distributions

Optimal Transport between empirical distributions

Optimal Transport with different ground metrics

Optimal Transport with different ground metrics

Fast and accurate transport bijections using BSP-OT

Fast and accurate transport bijections using BSP-OT

Geometry of OT distances

Geometry of OT distances

Sinkhorn Divergence and Debiased OT solvers

Sinkhorn Divergence and Debiased OT solvers

Regularized OT with generic solver

Regularized OT with generic solver

Quickstart Guide

Quickstart Guide

Optimal Transport solvers comparison

Optimal Transport solvers comparison

Sparse Optimal Transport

Sparse Optimal Transport

Differentiable OT with PyTorch

Different gradient computations for regularized optimal transport

Different gradient computations for regularized optimal transport

Dual OT solvers for entropic and quadratic regularized OT with Pytorch

Dual OT solvers for entropic and quadratic regularized OT with Pytorch

Solve Fused Unbalanced Gromov Wasserstein with Adam

Solve Fused Unbalanced Gromov Wasserstein with Adam

Optimizing the Gromov-Wasserstein distance with PyTorch

Optimizing the Gromov-Wasserstein distance with PyTorch

Solving Many Optimal Transport Problems in Parallel

Solving Many Optimal Transport Problems in Parallel

Sliced Wasserstein barycenter and gradient flow with PyTorch

Sliced Wasserstein barycenter and gradient flow with PyTorch

Spherical Sliced-Wasserstein Embedding on Sphere

Spherical Sliced-Wasserstein Embedding on Sphere

Continuous OT plan estimation with Pytorch

Continuous OT plan estimation with Pytorch

Wasserstein unmixing with PyTorch

Wasserstein unmixing with PyTorch

Wasserstein 1D (flow and barycenter) with PyTorch

Wasserstein 1D (flow and barycenter) with PyTorch

Wasserstein 2 Minibatch GAN with PyTorch

Wasserstein 2 Minibatch GAN with PyTorch

Gradient Flow for GMM-OT distance

Gradient Flow for GMM-OT distance

Graph classification with Template Based Fused Gromov Wasserstein

Graph classification with Template Based Fused Gromov Wasserstein

Gromov-Wasserstein (GW) and Fused GW

Barycenter of labeled graphs with FGW

Barycenter of labeled graphs with FGW

Entropic-regularized semi-relaxed (Fused) Gromov-Wasserstein example

Entropic-regularized semi-relaxed (Fused) Gromov-Wasserstein example

Plot Fused-Gromov-Wasserstein

Plot Fused-Gromov-Wasserstein

Comparison of Fused Gromov-Wasserstein solvers

Comparison of Fused Gromov-Wasserstein solvers

Graph classification with Template Based Fused Gromov Wasserstein

Graph classification with Template Based Fused Gromov Wasserstein

Gromov-Wasserstein example

Gromov-Wasserstein example

Gromov-Wasserstein Barycenter example

Gromov-Wasserstein Barycenter example

(Fused) Gromov-Wasserstein Linear Dictionary Learning

(Fused) Gromov-Wasserstein Linear Dictionary Learning

Plot partial FGW for subgraph matching

Plot partial FGW for subgraph matching

Quantized Fused Gromov-Wasserstein examples

Quantized Fused Gromov-Wasserstein examples

Semi-relaxed (Fused) Gromov-Wasserstein example

Semi-relaxed (Fused) Gromov-Wasserstein example

Semi-relaxed (Fused) Gromov-Wasserstein Barycenter as Dictionary Learning

Semi-relaxed (Fused) Gromov-Wasserstein Barycenter as Dictionary Learning

Unbalanced and Partial OT

Entropic-regularized semi-relaxed (Fused) Gromov-Wasserstein example

Entropic-regularized semi-relaxed (Fused) Gromov-Wasserstein example

Semi-relaxed (Fused) Gromov-Wasserstein example

Semi-relaxed (Fused) Gromov-Wasserstein example

Semi-relaxed (Fused) Gromov-Wasserstein Barycenter as Dictionary Learning

Semi-relaxed (Fused) Gromov-Wasserstein Barycenter as Dictionary Learning

Detecting outliers by learning sample marginal distribution with CO-Optimal Transport and by using unbalanced Co-Optimal Transport

Detecting outliers by learning sample marginal distribution with CO-Optimal Transport and by using unbalanced Co-Optimal Transport

1D Unbalanced optimal transport

1D Unbalanced optimal transport

1D Wasserstein barycenter demo for Unbalanced distributions

1D Wasserstein barycenter demo for Unbalanced distributions

Sliced Unbalanced optimal transport

Sliced Unbalanced optimal transport

Translation Invariant Sinkhorn for Unbalanced Optimal Transport

Translation Invariant Sinkhorn for Unbalanced Optimal Transport

Numerically-stable entropic partial Wasserstein (log-domain solver)

Numerically-stable entropic partial Wasserstein (log-domain solver)

Partial Wasserstein in 1D

Partial Wasserstein in 1D

Partial Wasserstein and Gromov-Wasserstein example

Partial Wasserstein and Gromov-Wasserstein example

Regularization path of l2-penalized unbalanced optimal transport

Regularization path of l2-penalized unbalanced optimal transport

2D examples of exact and entropic unbalanced optimal transport

2D examples of exact and entropic unbalanced optimal transport

OT in 1D and Sliced Wasserstein

Geometry of OT distances

Geometry of OT distances

OT distance on the Circle

OT distance on the Circle

Sliced OT Plans

Sliced OT Plans

Sliced Wasserstein Distance with input scaling (DataScaler)

Sliced Wasserstein Distance with input scaling (DataScaler)

Sliced Wasserstein Distance on 2D distributions

Sliced Wasserstein Distance on 2D distributions

Spherical Sliced Wasserstein on distributions in S^2

Spherical Sliced Wasserstein on distributions in S^2

1D Unbalanced optimal transport

1D Unbalanced optimal transport

Sliced Unbalanced optimal transport

Sliced Unbalanced optimal transport

Partial Wasserstein in 1D

Partial Wasserstein in 1D

OT on Gaussian and Gaussian Mixture Models

Gaussian Bures-Wasserstein barycenters

Gaussian Bures-Wasserstein barycenters

Gaussian Mixture Model OT Barycenters

Gaussian Mixture Model OT Barycenters

Linear OT mapping estimation

Linear OT mapping estimation

OT between GMM : plan and maps in 1D

OT between GMM : plan and maps in 1D

Gradient Flow for GMM-OT distance

Gradient Flow for GMM-OT distance

Factored an Low-Rank OT

Optimal transport with factored couplings

Optimal transport with factored couplings

Low rank Gromov-Wasterstein between samples

Low rank Gromov-Wasterstein between samples

Low rank Sinkhorn

Low rank Sinkhorn

Nyström approximation for OT

Nyström approximation for OT

Wasserstein and (F)GW barycenters

1D Wasserstein barycenter demo

1D Wasserstein barycenter demo

1D Wasserstein barycenter: exact LP vs entropic regularization

1D Wasserstein barycenter: exact LP vs entropic regularization

Convolutional Wasserstein Barycenter example

Convolutional Wasserstein Barycenter example

Debiased Sinkhorn barycenter demo

Debiased Sinkhorn barycenter demo

2D free support Wasserstein barycenters of distributions

2D free support Wasserstein barycenters of distributions

OT Barycenter with Generic Costs Demo

OT Barycenter with Generic Costs Demo

2D free support Sinkhorn barycenters of distributions

2D free support Sinkhorn barycenters of distributions

Gaussian Bures-Wasserstein barycenters

Gaussian Bures-Wasserstein barycenters

Generalized Wasserstein Barycenter Demo

Generalized Wasserstein Barycenter Demo

Gaussian Mixture Model OT Barycenters

Gaussian Mixture Model OT Barycenters

Optimal Transport Barycenter solvers comparison

Optimal Transport Barycenter solvers comparison

Barycenter of labeled graphs with FGW

Barycenter of labeled graphs with FGW

Gromov-Wasserstein Barycenter example

Gromov-Wasserstein Barycenter example

Semi-relaxed (Fused) Gromov-Wasserstein Barycenter as Dictionary Learning

Semi-relaxed (Fused) Gromov-Wasserstein Barycenter as Dictionary Learning

Domain adaptation with OT

OT for domain adaptation

OT for domain adaptation

OT for image color adaptation

OT for image color adaptation

OT for domain adaptation on empirical distributions

OT for domain adaptation on empirical distributions

OT for multi-source target shift

OT for multi-source target shift

OT with Laplacian regularization for domain adaptation

OT with Laplacian regularization for domain adaptation

Linear OT mapping estimation

Linear OT mapping estimation

OT mapping estimation for domain adaptation

OT mapping estimation for domain adaptation

OT for image color adaptation with mapping estimation

OT for image color adaptation with mapping estimation

OTDA unsupervised vs semi-supervised setting

OTDA unsupervised vs semi-supervised setting

Other OT problems

Row and column alignments with CO-Optimal Transport

Row and column alignments with CO-Optimal Transport

Entropic Wasserstein Component Analysis

Entropic Wasserstein Component Analysis

Smooth and Strongly Convex Nearest Brenier Potentials

Smooth and Strongly Convex Nearest Brenier Potentials

Wasserstein Discriminant Analysis

Wasserstein Discriminant Analysis

Weak Optimal Transport VS exact Optimal Transport

Weak Optimal Transport VS exact Optimal Transport

Computing 1-dimensional Barycenters via d-MMOT

Computing 1-dimensional Barycenters via d-MMOT

Logo of the POT toolbox

Logo of the POT toolbox

Detecting outliers by learning sample marginal distribution with CO-Optimal Transport and by using unbalanced Co-Optimal Transport

Detecting outliers by learning sample marginal distribution with CO-Optimal Transport and by using unbalanced Co-Optimal Transport

Semi-discrete OT: a toy 2D problem

Semi-discrete OT: a toy 2D problem

Spectral-Grassmann OT on dynamical systems operators

Spectral-Grassmann OT on dynamical systems operators

Stochastic examples

Stochastic examples