Computational optimal transport: With applications to data science

G Peyré, M Cuturi - Foundations and Trends® in Machine …, 2019 - nowpublishers.com
Optimal transport (OT) theory can be informally described using the words of the French
mathematician Gaspard Monge (1746–1818): A worker with a shovel in hand has to move a …

Generative adversarial networks: A literature review

J Cheng, Y Yang, X Tang, N ** in full-waveform inversion: A graph-space transform approach
L Métivier, A Allain, R Brossier, Q Mérigot, E Oudet… - Geophysics, 2018 - library.seg.org
Optimal transport distance has been recently promoted as a tool to measure the discrepancy
between observed and seismic data within the full-waveform-inversion strategy. This high …

A graph space optimal transport distance as a generalization of Lp distances: application to a seismic imaging inverse problem

L Métivier, R Brossier, Q Merigot, E Oudet - Inverse Problems, 2019 - iopscience.iop.org
Optimal transport distance is an appealing tool to measure the discrepancy between
datasets in the frame of inverse problems, for its ability to perform global comparisons and its …

Multi-marginal optimal transport using partial information with applications in robust localization and sensor fusion

F Elvander, I Haasler, A Jakobsson, J Karlsson - Signal Processing, 2020 - Elsevier
During recent decades, there has been a substantial development in optimal mass transport
theory and methods. In this work, we consider multi-marginal problems wherein only partial …