Information Geometry Connecting Wasserstein Distance and Kullback-Leibler Divergence via the Entropy-Relaxed Transportation Problem

Rao, C. R.: Information and accuracy attainable in the estimation of statistical parameters. Bulletin of the Calcutta Mathematical Society, 37, 81–91 (1945)

1945

Earlier work this paper cites.

Sinkhorn R.: A relationship between arbitrary positive matrices and doubly stochastic matrices. Ann. Math. Statist., 35, 876–879 (1964)

1964

Earlier work this paper cites.

Chentsov, N. N.: Statistical Decision Rules and Optimal Inference. Nauka (1972) (translated in English, AMS (1982))

1982

Earlier work this paper cites.

Cuturi, M.: Sinkhorn distances: Light speed computation of optimal transport. In Advances in Neural Information Processing Systems, 2292–2300 (2013)

2013

Earlier work this paper cites.

Villani, C. : Topics in Optimal Transportation. Graduate Studies in Math. AMS (2013)

2013

Earlier work this paper cites.

Cuturi, M., Avis, D.: Ground metric learning. J. Machine Learning Research, 15, 533–564 (2014)

2014

Cited alongside, same era.

Oizumi, M., Albantakis, L., Tononi, G.: From the phenomenology to the mechanisms of consciousness: integrated information theory 3.0. PLoS Comput Biol, 10, e1003588 (2014)

2014

Cited alongside, same era.

Montavon, G., Muller K., Cuturi, M.: Wasserstein training for Boltzmann machines, arXiv:1507.01972v1 (2015)

Original

2015

Cited alongside, same era.

Santambrogio, F.: Optimal Transport for Applied Mathematicians, Birkhauser (2015)

2015

Cited alongside, same era.

Amari, S.: Information Geometry and Its Applications. Springer (2016)

2016

Cited alongside, same era.

Cuturi, M., Peyré, G.: A smoothed dual formulation for variational Wasserstein problems, SIAM J. Imaging Sci. 9 (2016)

2016

Later among the works it cites.

Muzellec, B., Nock, R., Patrini, G., Nielsen, F.: Tsallis regularized optimal transport and ecological inference. arXiv:1609.04495v1 (2016)

Original

2016

Later among the works it cites.

Oizumi, M., Tsuchiya, N., Amari, S.: Unified framework for information integration based on information geometry. Proc Natl Acad Sci, 113, 14817–14822 (2016)

2016

Later among the works it cites.

Amari, S., Tsuchiya, N., Oizumi, M.: Geometry of information integration. arXiv:1709.02050 (2017)

Original

2017

Closest in time.