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Efficient Discretization of Optimal Transport [PDF]

Entropy, 2023
Obtaining solutions to optimal transportation (OT) problems is typically intractable when marginal spaces are continuous. Recent research has focused on approximating continuous solutions with discretization methods based on i.i.d. sampling, and this has
Junqi Wang, Pei Wang, Patrick Shafto
doaj   +5 more sources

Decorrelation using optimal transport [PDF]

European Physical Journal C: Particles and Fields
Being able to decorrelate a feature space from protected attributes is an area of active research and study in ethics, fairness, and also natural sciences.
Malte Algren, John Andrew Raine, Tobias Golling   +2 more
doaj   +6 more sources

A Novel Framework for Remote Sensing Image Synthesis with Optimal Transport [PDF]

Sensors
We propose a Generative Adversarial Network (GAN)-based method for image synthesis from remote sensing data. Remote sensing images (RSIs) are characterized by large intraclass variance and small interclass variance, which pose significant challenges for ...
Jinlong He, Xia Yuan, Yong Kou, Yanci Zhang   +3 more
doaj   +2 more sources

Optimal transport for automatic alignment of untargeted metabolomic data [PDF]

eLife
Untargeted metabolomic profiling through liquid chromatography-mass spectrometry (LC-MS) measures a vast array of metabolites within biospecimens, advancing drug development, disease diagnosis, and risk prediction.
Marie Breeur, George Stepaniants, Pekka Keski-Rahkonen, Philippe Rigollet, Vivian Viallon   +4 more
doaj   +2 more sources

Constrained Reweighting of Distributions: An Optimal Transport Approach [PDF]

Entropy
We commonly encounter the problem of identifying an optimally weight-adjusted version of the empirical distribution of observed data, adhering to predefined constraints on the weights.
Abhisek Chakraborty, Anirban Bhattacharya, Debdeep Pati   +2 more
doaj   +2 more sources

A Physicist’s View on Partial 3D Shape Matching

Algorithms, 2023
A new algorithm is presented to compute nonrigid, possibly partial comparisons of shapes defined by unstructured triangulations of their surfaces.
Patrice Koehl, Henri Orland
doaj   +1 more source

Satellite Image Time Series Clustering via Time Adaptive Optimal Transport

Remote Sensing, 2021
Satellite Image Time Series (SITS) have become more accessible in recent years and SITS analysis has attracted increasing research interest. Given that labeled SITS training samples are time and effort consuming to acquire, clustering or unsupervised ...
Zheng Zhang, Ping Tang, Weixiong Zhang, Liang Tang   +3 more
doaj   +1 more source

Optimal transport with discrete long-range mean-field interactions [PDF]

Bulletin of Mathematical Sciences, 2020
We study an optimal transport problem where, at some intermediate time, the mass is either accelerated by an external force field or self-interacting.
Jiakun Liu, Grégoire Loeper
doaj   +1 more source

Optimal Transport in Multilayer Networks for Traffic Flow Optimization

Algorithms, 2021
Modeling traffic distribution and extracting optimal flows in multilayer networks is of the utmost importance to design efficient, multi-modal network infrastructures.
Abdullahi Adinoyi Ibrahim, Alessandro Lonardi, Caterina De Bacco   +2 more
doaj   +1 more source

Overrelaxed Sinkhorn–Knopp Algorithm for Regularized Optimal Transport

Algorithms, 2021
This article describes a set of methods for quickly computing the solution to the regularized optimal transport problem. It generalizes and improves upon the widely used iterative Bregman projections algorithm (or Sinkhorn–Knopp algorithm).
Alexis Thibault, Lénaïc Chizat, Charles Dossal, Nicolas Papadakis   +3 more
doaj   +1 more source