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Matricial Wasserstein-1 Distance

We propose an extension of the Wasserstein 1-metric (W(1)) for density matrices, matrix-valued density measures, and an unbalanced interpretation of mass transport. We use duality theory and, in particular, a “dual of the dual” formulation of W(1). This matrix analogue of the Earth Mover’s Distance...

Deskribapen osoa

Gorde:
Xehetasun bibliografikoak
Argitaratua izan da:IEEE Control Syst Lett
Egile Nagusiak: Chen, Yongxin, Georgiou, Tryphon T., Ning, Lipeng, Tannenbaum, Allen
Formatua: Artigo
Hizkuntza:Inglês
Argitaratua: 2017
Gaiak:
Sarrera elektronikoa:https://ncbi.nlm.nih.gov/pmc/articles/PMC5687101/
https://ncbi.nlm.nih.gov/pubmed/29152609
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1109/LCSYS.2017.2699319
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