Literature DB >> 29152609

Matricial Wasserstein-1 Distance.

Yongxin Chen1, Tryphon T Georgiou2, Lipeng Ning3, Allen Tannenbaum4.   

Abstract

We propose an extension of the Wasserstein 1-metric (W1) 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 W1. This matrix analogue of the Earth Mover's Distance has several attractive features including ease of computation.

Entities:  

Year:  2017        PMID: 29152609      PMCID: PMC5687101          DOI: 10.1109/LCSYS.2017.2699319

Source DB:  PubMed          Journal:  IEEE Control Syst Lett


  6 in total

1.  Robust transport over networks.

Authors:  Yongxin Chen; Tryphon Georgiou; Michele Pavon; Allen Tannenbaum
Journal:  IEEE Trans Automat Contr       Date:  2016-11-09       Impact factor: 5.792

2.  Optical flow estimation for flame detection in videos.

Authors:  Martin Mueller; Peter Karasev; Ivan Kolesov; Allen Tannenbaum
Journal:  IEEE Trans Image Process       Date:  2013-04-16       Impact factor: 10.856

3.  On Matrix-Valued Monge-Kantorovich Optimal Mass Transport.

Authors:  Lipeng Ning; Tryphon T Georgiou; Allen Tannenbaum
Journal:  IEEE Trans Automat Contr       Date:  2014-08-21       Impact factor: 5.792

4.  Graph Curvature for Differentiating Cancer Networks.

Authors:  Romeil Sandhu; Tryphon Georgiou; Ed Reznik; Liangjia Zhu; Ivan Kolesov; Yasin Senbabaoglu; Allen Tannenbaum
Journal:  Sci Rep       Date:  2015-07-14       Impact factor: 4.379

5.  Pediatric Sarcoma Data Forms a Unique Cluster Measured via the Earth Mover's Distance.

Authors:  Yongxin Chen; Filemon Dela Cruz; Romeil Sandhu; Andrew L Kung; Prabhjot Mundi; Joseph O Deasy; Allen Tannenbaum
Journal:  Sci Rep       Date:  2017-08-01       Impact factor: 4.379

6.  Ricci curvature: An economic indicator for market fragility and systemic risk.

Authors:  Romeil S Sandhu; Tryphon T Georgiou; Allen R Tannenbaum
Journal:  Sci Adv       Date:  2016-05-27       Impact factor: 14.136

  6 in total
  1 in total

1.  Smooth interpolation of covariance matrices and brain network estimation: Part II.

Authors:  Lipeng Ning
Journal:  IEEE Trans Automat Contr       Date:  2019-07-04       Impact factor: 5.792

  1 in total

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