Information geometry
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[1] T. Morimoto. Markov Processes and the H -Theorem , 1963 .
[2] L. Bregman. The relaxation method of finding the common point of convex sets and its application to the solution of problems in convex programming , 1967 .
[3] S. Eguchi. Second Order Efficiency of Minimum Contrast Estimators in a Curved Exponential Family , 1983 .
[4] T. Matumoto. Any statistical manifold has a contrast function---on the $C\sp 3$-functions taking the minimum at the diagonal of the product manifold , 1993 .
[5] Giovanni Pistone,et al. An Infinite-Dimensional Geometric Structure on the Space of all the Probability Measures Equivalent to a Given One , 1995 .
[6] Shun-ichi Amari,et al. Blind source separation-semiparametric statistical approach , 1997, IEEE Trans. Signal Process..
[7] S. Amari,et al. Information geometry of estimating functions in semi-parametric statistical models , 1997 .
[8] H. Matsuzoe. On realization of conformally-projectively flat statistical manifolds and the divergences , 1998 .
[9] H. Matsuzoe. Geometry of contrast functions and conformal geometry , 1999 .
[10] Shun-ichi Amari,et al. Estimating Functions of Independent Component Analysis for Temporally Correlated Signals , 2000, Neural Computation.
[11] Masato Okada,et al. Estimating Spiking Irregularities Under Changing Environments , 2006, Neural Computation.
[12] Hông Vân Lê. Statistical manifolds are statistical models , 2006 .
[13] Giovanni Pistone,et al. Exponential statistical manifold , 2007 .
[14] Hiroshi Matsuzoe,et al. Statistical manifolds and affine differential geometry , 2010 .
[15] Shun-ichi Amari,et al. Geometry of deformed exponential families: Invariant, dually-flat and conformal geometries , 2012 .
[16] Martin Bauer,et al. Uniqueness of the Fisher–Rao metric on the space of smooth densities , 2014, 1411.5577.
[17] Gabriel Peyré,et al. A Smoothed Dual Approach for Variational Wasserstein Problems , 2015, SIAM J. Imaging Sci..
[18] Shun-ichi Amari,et al. Information geometry connecting Wasserstein distance and Kullback–Leibler divergence via the entropy-relaxed transportation problem , 2017, Information Geometry.
[19] James G. Dowty,et al. Chentsov’s theorem for exponential families , 2017, Information Geometry.
[20] Ting-Kam Leonard Wong. Logarithmic divergences from optimal transport and Rényi geometry , 2017, ArXiv.
[21] Shun-ichi Amari,et al. Information Geometry for Regularized Optimal Transport and Barycenters of Patterns , 2019, Neural Computation.