7 papers · 1 filter
Second-Order Mean-Field Schrödinger Bridges with Partial State Information
Asmaa Eldesoukey, Md Zulfiqur Haider, Italo Napolitano +2
Motivated by scenarios in control systems where decision making is informed by only partial information about the states, we introduce a novel formulation of the Schrödinger bridge…
On the Equivalence of Stochastic Control and Path Space Formulations for Schrödinger Bridges over Compact Connected Lie Groups
Hamza Mahmood, Georgiy A. Bondar, Abhishek Halder +1
We establish the equivalence between the stochastic optimal control and path space formulations of the Schrödinger bridge problem (SBP) for the kinematic equation on a compact conn…
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…
Control Laguerre Tessellation: Semi-discrete Optimal Transport Over Control Systems
Ripon C. Sarker, Abhishek Halder
We study the optimal transport of optimally controlled agents from a compactly supported absolutely continuous source to a discrete target measure. The ground cost for the transpor…
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…
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…
Schrödinger Bridge Over A Compact Connected Lie Group
Hamza Mahmood, Abhishek Halder, Adeel Akhtar
This work studies the Schrödinger bridge problem for the kinematic equation on a compact connected Lie group. The objective is to steer a controlled diffusion between given initial…