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math.OC2025
Approximating the order 2 quantum Wasserstein distance using the moment-SOS hierarchy
Saroj Prasad Chhatoi, Victor Magron
Optimal transport theory has recently been extended to quantum settings, where the density matrices generalize the probability measures. In this paper, we study the computational a…
math.OC2025
Evolution of Measures in Nonsmooth Dynamical Systems: Formalisms and Computation
Saroj Prasad Chhatoi, Aneel Tanwani, Didier Henrion
This article develops mathematical formalisms and provides numerical methods for studying the evolution of measures in nonsmooth dynamical systems using the continuity equation. Th…
math.OC2025
Shannon-and von neumann-entropy regularizations of linear and semidefinite programs
Saroj Prasad Chhatoi, Jean B Lasserre
We consider the LP in standard form min {c T x\,: Ax = b; x 0} and inspired by -regularization in Optimal Transport, we introduce its -regularization ''min {c T x + $…