Data-Driven Approximation of the Perron-Frobenius Operator Using the Wasserstein Metric

Author:

Karimi Amirhossein,Georgiou Tryphon T.

Funder

National Science Foundation

Air Force Office of Scientific Research

Publisher

Elsevier BV

Subject

General Medicine

Reference20 articles.

1. A user's guide to optimal transport;Ambrosio,2013

2. Gradient flows with metric and diferentiable structures, and applications to the Wasserstein space;Ambrosio;Atti Accad. Naz. Lincei, Mat. Appl,,2004

3. Gradient flows: in metric spaces and in the space of probability measures;Ambrosio,2008

4. Iterative Bregman projections for regularized transportation problems;Benamou;SIAM J. on Scientific Computing,2015

5. Tyrus Berry, Dimitrios Giannakis, and John Harlim. Bridging data science and dynamical systems theory. arXiv preprint arXiv:2002.07928, 2020.

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