36 citations · 122 across the 31 of their papers we have counts for
5 papers · 1 filter
Steering the distribution of agents in mean-field and cooperative games
Yongxin Chen, Tryphon T. Georgiou, Michele Pavon
The purpose of this work is to pose and solve the problem to guide a collection of weakly interacting dynamical systems (agents, particles, etc.) to a specified terminal distributi…
Optimal transport for Gaussian mixture models
Yongxin Chen, Tryphon T. Georgiou, Allen Tannenbaum
We present an optimal mass transport framework on the space of Gaussian mixture models, which are widely used in statistical inference. Our method leads to a natural way to compare…
An Efficient Algorithm for Matrix-Valued and Vector-Valued Optimal Mass Transport
Yongxin Chen, Eldad Haber, Kaoru Yamamoto +2
We present an efficient algorithm for recent generalizations of optimal mass transport theory to matrix-valued and vector-valued densities. These generalizations lead to several ap…
Interpolation of Density Matrices and Matrix-Valued Measures: The Unbalanced Case
Yongxin Chen, Tryphon T. Georgiou, Allen Tannenbaum
In this note, we propose an unbalanced version of the quantum mechanical version of optimal mass transport that was based on the Lindblad equation. We formulate a natural interpola…
On the Matrix Monge-Kantorovich Problem
Yongxin Chen, Wilfrid Gangbo, Tryphon T. Georgiou +1
The classical Monge-Kantorovich (MK) problem as originally posed is concerned with how best to move a pile of soil or rubble to an excavation or fill with the least amount of work…