5 papers · 1 filter
Distribution Steering via Sliced Optimal Transport Control
Kaito Ito, Anqi Dong
Distribution steering seeks feedback laws that drive the state law of a dynamical system between prescribed initial and terminal distributions. Optimal transport provides a natural…
Sliced Wasserstein Steering between Gaussian Measures
Kaito Ito, Anqi Dong
Optimal transport with quadratic cost provides a geometric framework for steering an ensemble, modeled by a probability law, with minimal effort. Yet ambient-space formulations bec…
Temporally Flexible Transport Scheduling on Networks with Departure-Arrival Constriction and Nodal Capacity Limits
Anqi Dong, Karl H. Johansson, Johan Karlsson
We investigate the optimal transport (OT) problem over networks, wherein supply and demand are conceptualized as temporal marginals governing departure rates of particles from sour…
Optimization of continuous-flow over traffic networks with fundamental diagram constraints
Anqi Dong, Karl Henrik Johansson, Johan Karlsson
Optimal transport (OT) theory provides a principled framework for modeling mass movement in applications such as mobility, logistics, and economics. Classical formulations, however…
Fundamental diagram constrained dynamic optimal transport via proximal splitting methods
Anqi Dong, Karl Henrik Johansson, Johan Karlsson
Optimal transport has recently been brought forward as a tool for modeling and efficiently solving a variety of flow problems, such as origin-destination problems and multi-commodi…