8 papers
Reflected Schrodinger Bridge Problem over Sub-Riemannian Manifold
Daniel Owusu Adu
We formulate and solve the reflected sub-Riemannian Schrödinger bridge (SB) problem: minimum-energy transport of probability distributions on a bounded domain for underactuated dyn…
From Schrodinger Bridge to Optimal Transport over Sub-Riemannian Manifolds
Daniel Owusu Adu, Karthik Elamvazhuthi, Bahman Gharesifard
We study the least-energy way to reshape a probability distribution when motion is constrained to a horizontal bundle, that is, optimal transport and distribution steering in sub-R…
Flow Matching for Averaged Systems
Daniel Owusu Adu, Yongxin Chen
We extend flow matching to ensembles of linear systems in both deterministic and stochastic settings. Averaging over system parameters induces memory leading to a non-Markovian int…
Schrodinger Bridge over Averaged Systems
Daniel Owusu Adu, Yongxin Chen
We consider a Schrödinger bridge problem where the Markov process is subject to parameter perturbations, forming an ensemble of systems. Our objective is to steer this ensemble fro…
Well-posedness and Bilinear Controllability of a Repairable System with Degraded State
Daniel Owusu Adu, Weiwei Hu
In this work, we consider the dynamics of repairable systems characterized by three distinct states: one signifying normal operational states, another representing degraded conditi…
Bilinear Controllability of a Simple Reparable System
Daniel Owusu Adu, Weiwei Hu
Reparable systems are systems that are characterized by their ability to undergo maintenance actions when failures occur. These systems are often described by transport equations,…
Optimal transport for some symmetric, multidimensional integer partitions
Daniel Owusu Adu, Daniel Keliher
A result of Hohloch links the theory of integer partitions with the Monge formulation of the optimal transport problem, giving the optimal transport map between (Young diagrams of)…
Stochastic Bridges over Ensemble of Linear Systems
Daniel Owusu Adu, Yongxin Chen
We consider particles that are conditioned to initial and final states. The trajectory of these particles is uniquely shaped by the intricate interplay of internal and external sou…