4 papers
Unbalanced Optimal Transport and Density Control for Discrete-Time Linear Systems
Haruto Nakashima, Siddhartha Ganguly, Kenji Kashima
This article studies unbalanced optimal transport (UOT) and its dynamical extension, unbalanced density control (UDC), for a class of constrained discrete-time linear systems. UOT…
Globally Solving Unbalanced Optimal Transport and Density Control for Gaussian Distributions
Haruto Nakashima, Siddhartha Ganguly, Kenji Kashima
In this article, we study unbalanced optimal transport (UOT) and establish a control-theoretic dynamical extension, which we call the unbalanced density control (UDC), for a class…
Data-Driven Density Steering via the Gromov-Wasserstein Optimal Transport Distance
Haruto Nakashima, Siddhartha Ganguly, Kenji Kashima
We tackle the data-driven chance-constrained density steering problem using the Gromov-Wasserstein metric. The underlying dynamical system is an unknown linear controlled recursion…
Formation Shape Control using the Gromov-Wasserstein Metric
Haruto Nakashima, Siddhartha Ganguly, Kohei Morimoto +1
This article introduces a formation shape control algorithm, in the optimal control framework, for steering an initial population of agents to a desired configuration via employing…