6 papers
Solution of the Probabilistic Lambert's Problem: Optimal Transport Approach
Alexis M. H. Teter, Iman Nodozi, Abhishek Halder
The deterministic variant of the Lambert's problem was posed by Lambert in the 18th century and its solution for conic trajectory has been derived by many, including Euler, Lambert…
Path Structured Multimarginal Schrödinger Bridge for Probabilistic Learning of Hardware Resource Usage by Control Software
Georgiy A. Bondar, Robert Gifford, Linh Thi Xuan Phan +1
The solution of the path structured multimarginal Schrödinger bridge problem (MSBP) is the most-likely measure-valued trajectory consistent with a sequence of observed probability…
Wasserstein Consensus ADMM
Iman Nodozi, Abhishek Halder
We introduce Wasserstein consensus alternating direction method of multipliers (ADMM) and its entropic-regularized version: Sinkhorn consensus ADMM, to solve measure-valued optimiz…
On the Contraction Coefficient of the Schrödinger Bridge for Stochastic Linear Systems
Alexis M. H. Teter, Yongxin Chen, Abhishek Halder
Schrödinger bridge is a stochastic optimal control problem to steer a given initial state density to another, subject to controlled diffusion and deadline constraints. A popular me…
Optimal Mass Transport over the Euler Equation
Charlie Yan, Iman Nodozi, Abhishek Halder
We consider the finite horizon optimal steering of the joint state probability distribution subject to the angular velocity dynamics governed by the Euler equation. The problem and…
A Controlled Mean Field Model for Chiplet Population Dynamics
Iman Nodozi, Abhishek Halder, Ion Matei
In micro-assembly applications, ensemble of chiplets immersed in a dielectric fluid are steered using dielectrophoretic forces induced by an array of electrode population. Generali…