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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

Optimal pricing for optimal transport [PDF]

Set-Valued and Variational Analysis, 2014
Suppose that $c(x,y)$ is the cost of transporting a unit of mass from $x\in X$ to $y\in Y$ and suppose that a mass distribution $\mu$ on $X$ is transported optimally (so that the total cost of transportation is minimal) to the mass distribution $\nu$ on $
Bartz, Sedi, Reich, Simeon
core   +4 more sources

Inverse optimal transport [PDF]

SIAM Journal on Applied Mathematics, 2019
Discrete optimal transportation problems arise in various contexts in engineering, the sciences and the social sciences. Often the underlying cost criterion is unknown, or only partly known, and the observed optimal solutions are corrupted by noise.
Stuart, Andrew M., Wolfram, Marie-Therese   +1 more
core   +6 more sources

Efficient Discretization of Optimal Transport

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   +4 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