Quantum entropic regularization of matrix-valued optimal transport
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Publication:5242581
DOI10.1017/S0956792517000274zbMath1428.49047OpenAlexW2759497469MaRDI QIDQ5242581
François-Xavier Vialard, Gabriel Peyré, Lénaïc Chizat, Justin Solomon
Publication date: 12 November 2019
Published in: European Journal of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0956792517000274
Methods involving semicontinuity and convergence; relaxation (49J45) Geometric measure and integration theory, integral and normal currents in optimization (49Q15)
Related Items (8)
A dual formula for the noncommutative transport distance ⋮ Applications of optimal transportation in the natural sciences. Abstracts from the workshop held February 21--27, 2021 (online meeting) ⋮ A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature ⋮ From second-order differential geometry to stochastic geometric mechanics ⋮ On Optimal Transport of Matrix-Valued Measures ⋮ The Schrödinger problem on the non-commutative Fisher-Rao space ⋮ A variational interpretation of general relativity in a vacuum in terms of optimal transport ⋮ A note on overrelaxation in the Sinkhorn algorithm
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