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math.OC2026
Nonlinear Non-Gaussian Density Steering with Input and Noise Channel Mismatch: Sinkhorn with Memory for Solving the Control-affine Schrödinger Bridge Problem
Georgiy A. Bondar, Asmaa Eldesoukey, Yongxin Chen +1
Solutions to the Schrödinger bridge problem and its generalizations yield feedback control policies for optimal density steering over a controlled diffusion. To numerically compute…
math.OC2024
Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps
Sachin Shivakumar, Georgiy A. Bondar, Gabriel Khan +1
For a given ground cost, approximating the Monge optimal transport map that pushes forward a given probability measure onto another has become a staple in several modern machine le…