5 papers
On Distributed Control of Continuum Swarms: Local Controllers as Differential Operators
Max Emerick, Saroj Prasad Chhatoi, Bassam Bamieh
We study the problem of distributed control of large-scale robotic swarms which can be modeled as continuum densities evolving under the continuity equation. We propose a formaliza…
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…
Optimizing quasi-dissipative evolution equations with the moment-SOS hierarchy
Saroj Prasad Chhatoi, Didier Henrion, Swann Marx +1
We prove that there is no relaxation gap between a quasi-dissipative nonlinear evolution equation in a Hilbert space and its linear Liouville equation reformulation on probability…
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…
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 + $…