4 papers
Fixed Horizon Linear Quadratic Covariance Steering in Continuous Time with Hilbert-Schmidt Terminal Cost
Tushar Sial, Abhishek Halder
We formulate and solve the fixed horizon linear quadratic covariance steering problem in continuous time with a terminal cost measured in Hilbert-Schmidt (i.e., Frobenius) norm err…
Optimal Multimarginal Schrödinger Bridge: Minimum Spanning Tree over Measure-valued Vertices
Georgiy A. Bondar, Abhishek Halder
The Multimarginal Schrödinger Bridge (MSB) finds the optimal coupling among a collection of random vectors with known statistics and a known correlation structure. In the MSB formu…
CORD: Co-design of Resource Allocation and Deadline Decomposition with Generative Profiling
Robert Gifford, Abby Eisenklam, Georgiy A. Bondar +4
As multicore hardware is becoming increasingly common in real-time systems, traditional scheduling techniques that assume a single worst-case execution time for a task are no longe…
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…