52 citations · 76 across the 16 of their papers we have counts for
3 papers · 1 filter
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 inertial particles diffusing anisotropically with losses
Yongxin Chen, Tryphon T. Georgiou, Michele Pavon
Exploiting a fluid dynamic formulation for which a probabilistic counterpart might not be available, we extend the theory of Schroedinger bridges to the case of inertial particles…
Positive contraction mappings for classical and quantum Schrodinger systems
Tryphon T. Georgiou, Michele Pavon
The classical Schrodinger bridge seeks the most likely probability law for a diffusion process, in path space, that matches marginals at two end points in time; the likelihood is q…