140 citations · 658 across the 113 of their papers we have counts for
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Matricial Wasserstein-1 Distance
Yongxin Chen, Tryphon T. Georgiou, Lipeng Ning +1
In this note, we propose an extension of the Wasserstein 1-metric () for matrix probability densities, matrix-valued density measures, and an unbalanced interpretation of mass…
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…