A description of transport cost for signed measures

DOI10.1007/s10958-012-0718-2zbMath1256.49057OpenAlexW2028699797MaRDI QIDQ1762541

Edoardo Mainini

Publication date: 27 November 2012

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-012-0718-2

zbMATH Keywords

signed measuresoptimal transporttransport cost

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20)

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Optimal transportation, modelling and numerical simulation, A graph space optimal transport distance as a generalization of L ^p distances: application to a seismic imaging inverse problem, Misfit function for full waveform inversion based on the Wasserstein metric with dynamic formulation, Gradient flow of the Chapman-Rubinstein-Schatzman model for signed vortices, Nonlocal balance equations with parameters in the space of signed measures, The quadratic Wasserstein metric for inverse data matching, A review of the use of optimal transport distances for high resolution seismic imaging based on the full waveform, Virtual persistence diagrams, signed measures, Wasserstein distances, and Banach spaces

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