24 citations · 71 across the 21 of their papers we have counts for
3 papers · 1 filter
Regularization and Interpolation of Positive Matrices
Kaoru Yamamoto, Yongxin Chen, Lipeng Ning +2
We consider certain matricial analogues of optimal mass transport of positive definite matrices of equal trace. The framework is motivated by the need to devise a suitable geometry…
Matrix Optimal Mass Transport: A Quantum Mechanical Approach
Yongxin Chen, Tryphon T. Georgiou, Allen Tannenbaum
In this paper, we describe a possible generalization of the Wasserstein 2-metric, originally defined on the space of scalar probability densities, to the space of Hermitian matrice…
Optimal steering of a linear stochastic system to a final probability distribution, Part III
Yongxin Chen, Tryphon T. Georgiou, Michele Pavon
The subject of this work has its roots in the so called Schroedginer Bridge Problem (SBP) which asks for the most likely distribution of Brownian particles in their passage between…