Multivariate goodness-of-fit tests based on Wasserstein distance

M Hallin, G Mordant, J Segers - 2021 - projecteuclid.org
Goodness-of-fit tests based on the empirical Wasserstein distance are proposed for simple
and composite null hypotheses involving general multivariate distributions. For group …

Wasserstein patch prior for image superresolution

J Hertrich, A Houdard… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
Many recent superresolution methods are based on supervised learning. That means, that
they require a large database of pairs of high-and low-resolution images as training data …

WPPNets and WPPFlows: The power of Wasserstein patch priors for superresolution

F Altekrüger, J Hertrich - SIAM Journal on Imaging Sciences, 2023 - SIAM
Exploiting image patches instead of whole images has proved to be a powerful approach to
tackling various problems in image processing. Recently, Wasserstein patch priors (WPPs) …

Computing wasserstein-p distance between images with linear cost

Y Chen, C Li, Z Lu - … of the IEEE/CVF Conference on …, 2022 - openaccess.thecvf.com
When the images are formulated as discrete measures, computing Wasserstein-p distance
between them is challenging due to the complexity of solving the corresponding …

A generative model for texture synthesis based on optimal transport between feature distributions

A Houdard, A Leclaire, N Papadakis… - Journal of Mathematical …, 2023 - Springer
We propose GOTEX, a general framework for texture synthesis by optimization that
constrains the statistical distribution of local features. While our model encompasses several …

Wasserstein generative models for patch-based texture synthesis

A Houdard, A Leclaire, N Papadakis… - … Conference on Scale …, 2021 - Springer
This work addresses texture synthesis by relying on the local representation of images
through their patch distributions. The main contribution is a framework that imposes the …

A stochastic multi-layer algorithm for semi-discrete optimal transport with applications to texture synthesis and style transfer

A Leclaire, J Rabin - Journal of Mathematical Imaging and Vision, 2021 - Springer
This paper investigates a new stochastic algorithm to approximate semi-discrete optimal
transport for large-scale problem, ie, in high dimension and for a large number of points. The …

Contrastive embeddings for neural architectures

D Hesslow, I Poli - arxiv preprint arxiv:2102.04208, 2021 - arxiv.org
The performance of algorithms for neural architecture search strongly depends on the
parametrization of the search space. We use contrastive learning to identify networks across …

Analyse de données géométriques, au delà des convolutions

J Feydy - 2020 - theses.hal.science
Analyse de données géométriques, au delà des convolutionsPour modéliser des
interactions entre points, une méthode simple est de se reposer sur des sommes pondérées …

Variational wasserstein barycenters for geometric clustering

L Mi - arxiv preprint arxiv:2002.10543, 2020 - arxiv.org
We propose to compute Wasserstein barycenters (WBs) by solving for Monge maps with
variational principle. We discuss the metric properties of WBs and explore their connections …