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math.OC2026
Schrödinger Bridges over Kinetic Swarming Models
Asmaa Eldesoukey, Md Zulfiqur Haider, Italo Napolitano +2
Paradigmatic interaction models explain how collective behaviors can emerge in complex systems from interactions among the constituent agents. In bio-inspired swarms, however, inte…
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.OC2026
A Generalized Sinkhorn Algorithm for Mean-Field Schrödinger Bridge
Asmaa Eldesoukey, Yongxin Chen, Abhishek Halder
The mean-field Schrödinger bridge (MFSB) problem concerns designing a minimum-effort controller that guides a diffusion process with nonlocal interaction to reach a given distribut…