3 papers
math.OC2025
Uniform Sampling from the Reachable Set Using Optimal Transport
Karthik Elamvazhuthi, Sachin Shivakumar
Estimating the reachable set of a dynamical system is a fundamental problem in control theory, particularly when control inputs are bounded. Direct simulation using randomly sample…
math.OC2025
Markov Kernels, Distances and Optimal Control: A Parable of Linear Quadratic Non-Gaussian Distribution Steering
Alexis M. H. Teter, Wenqing Wang, Sachin Shivakumar +1
For a controllable linear time-varying (LTV) pair and positive semidefinite, we derive the Markov kernel for the Itô diff…
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…