Wasserstein steepest descent flows of discrepancies with Riesz kernels

DOI10.1016/J.JMAA.2023.127829zbMATH Open1540.49049MaRDI QIDQ6542824

Johannes Hertrich, Gabriele Steidl, Robert Beinert, Manuel Gräf

Publication date: 23 May 2024

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Dirac measureinteraction energynumerical simulationsRiesz kernelWasserstein gradient flowWasserstein spaceminimizing movement schemehalftoning imagesWasserstein steepest descent flow

Mathematics Subject Classification ID

Applications of optimal control and differential games (49N90) Variational methods applied to PDEs (35A15) Variational problems in a geometric measure-theoretic setting (49Q20) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Spaces of measures (46E27) Potentials and capacities, extremal length and related notions in higher dimensions (31B15) Optimal transportation (49Q22)

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