Examples gallery

This is a gallery of all the POT example files.

OT and regularized OT

Optimal Transport for 1D distributions

Optimal Transport for 1D distributions

Smooth and sparse OT example

Smooth and sparse OT example

Regularized OT with generic solver

Regularized OT with generic solver

Optimal Transport between 2D empirical distributions

Optimal Transport between 2D empirical distributions

OT distances in 1D

OT distances in 1D

OT distance on the Circle

OT distance on the Circle

Optimal Transport solvers comparison

Optimal Transport solvers comparison

Optimal Transport with different ground metrics

Optimal Transport with different ground metrics

Introduction to Optimal Transport with Python

Introduction to Optimal Transport with Python

POT backend examples

Different gradient computations for regularized optimal transport

Different gradient computations for regularized optimal transport

Wasserstein unmixing with PyTorch

Wasserstein unmixing with PyTorch

Spherical Sliced-Wasserstein Embedding on Sphere

Spherical Sliced-Wasserstein Embedding on Sphere

Dual OT solvers for entropic and quadratic regularized OT with Pytorch

Dual OT solvers for entropic and quadratic regularized OT 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

Sliced Wasserstein barycenter and gradient flow with PyTorch

Sliced Wasserstein barycenter and gradient flow with PyTorch

Continuous OT plan estimation with Pytorch

Continuous OT plan estimation with Pytorch

Optimizing the Gromov-Wasserstein distance with PyTorch

Optimizing the Gromov-Wasserstein distance with PyTorch

Wasserstein barycenters

Convolutional Wasserstein Barycenter example

Convolutional Wasserstein Barycenter example

2D free support Wasserstein barycenters of distributions

2D free support Wasserstein barycenters of distributions

Gaussian Bures-Wasserstein barycenters

Gaussian Bures-Wasserstein barycenters

1D Wasserstein barycenter demo

1D Wasserstein barycenter demo

Debiased Sinkhorn barycenter demo

Debiased Sinkhorn barycenter demo

Generalized Wasserstein Barycenter Demo

Generalized Wasserstein Barycenter Demo

2D free support Sinkhorn barycenters of distributions

2D free support Sinkhorn barycenters of distributions

1D Wasserstein barycenter: exact LP vs entropic regularization

1D Wasserstein barycenter: exact LP vs entropic regularization

Domain adaptation examples

OT with Laplacian regularization for domain adaptation

OT with Laplacian regularization for domain adaptation

OT for image color adaptation

OT for image color adaptation

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

Linear OT mapping estimation

Linear OT mapping estimation

OT for domain adaptation

OT for domain 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

Gromov and Fused-Gromov-Wasserstein

Plot Fused-Gromov-Wasserstein

Plot Fused-Gromov-Wasserstein

Gromov-Wasserstein example

Gromov-Wasserstein example

Plot graphs barycenter using FGW

Plot graphs barycenter using FGW

Gromov-Wasserstein Barycenter example

Gromov-Wasserstein Barycenter example

Graph classification with Template Based Fused Gromov Wasserstein

Graph classification with Template Based Fused Gromov Wasserstein

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

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

Semi-relaxed (Fused) Gromov-Wasserstein example

Semi-relaxed (Fused) Gromov-Wasserstein example

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

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

(Fused) Gromov-Wasserstein Linear Dictionary Learning

(Fused) Gromov-Wasserstein Linear Dictionary Learning

Comparison of Fused Gromov-Wasserstein solvers

Comparison of Fused Gromov-Wasserstein solvers

Quantized Fused Gromov-Wasserstein examples

Quantized Fused Gromov-Wasserstein examples

Other OT problems

Screened optimal transport (Screenkhorn)

Screened optimal transport (Screenkhorn)

Weak Optimal Transport VS exact Optimal Transport

Weak Optimal Transport VS exact Optimal Transport

Optimal transport with factored couplings

Optimal transport with factored couplings

Row and column alignments with CO-Optimal Transport

Row and column alignments with CO-Optimal Transport

GMM Plan 1D

GMM Plan 1D

Stochastic examples

Stochastic examples

Wasserstein Discriminant Analysis

Wasserstein Discriminant Analysis

Low rank Sinkhorn

Low rank Sinkhorn

Smooth and Strongly Convex Nearest Brenier Potentials

Smooth and Strongly Convex Nearest Brenier Potentials

Logo of the POT toolbox

Logo of the POT toolbox

Computing d-dimensional Barycenters via d-MMOT

Computing d-dimensional Barycenters via d-MMOT

Low rank Gromov-Wasterstein between samples

Low rank Gromov-Wasterstein between samples

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

Entropic Wasserstein Component Analysis

Entropic Wasserstein Component Analysis

GMM Flow

GMM Flow

Sliced Wasserstein Distance

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

Unbalanced and Partial OT

1D Unbalanced optimal transport

1D Unbalanced optimal transport

Translation Invariant Sinkhorn for Unbalanced Optimal Transport

Translation Invariant Sinkhorn for Unbalanced Optimal Transport

2D examples of exact and entropic unbalanced optimal transport

2D examples of exact and entropic unbalanced optimal transport

1D Wasserstein barycenter demo for Unbalanced distributions

1D Wasserstein barycenter demo for Unbalanced distributions

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