Information geometry on hierarchy of probability distributions

Elements of Information Theory

2001 • 38,276 citations

Categorical Data Analysis

1991 • 9,374 citations

Discrete Multivariate Analysis: Theory and Practice.

1975 • 5,202 citations

Categorical Data Analysis.

1991 • 3,060 citations

Natural Gradient Works Efficiently in Learning

1998 • 2,540 citations

Graphical Models

1996 • 2,203 citations

Methods of information geometry

2000 • 2,128 citations

Information and the Accuracy Attainable in the Estimation of Statistical Parameters

1992 • 1,724 citations

Differential-Geometrical Methods in Statistics

1985 • 1,665 citations

On the rationale of maximum-entropy methods

1982 • 1,613 citations

$I$-Divergence Geometry of Probability Distributions and Minimization Problems

1975 • 1,516 citations

Information and Exponential Families in Statistical Theory.

1979 • 1,254 citations

Dynamics of neuronal firing correlation: modulation of "effective connectivity"

1989 • 1,103 citations

Statistical Decision Rules and Optimal Inference

2000 • 513 citations

Information and Exponential Families in Statistical Theory

1980 • 507 citations

Information geometry of the EM and em algorithms for neural networks

1995 • 327 citations

On the significance of correlations among neuronal spike trains

1988 • 256 citations

Geometrical Foundations of Asymptotic Inference

1997 • 234 citations

Statistical inference under multiterminal data compression

1998 • 229 citations

An Infinite-Dimensional Geometric Structure on the Space of all the Probability Measures Equivalent to a Given One

1995 • 221 citations

Differential Geometry and Statistics

2017 • 219 citations

Nonnegative entropy measures of multivariate symmetric correlations

1978 • 219 citations

Geometrical Foundations of Asymptotic Inference

1997 • 217 citations

Information geometry of Boltzmann machines

1992 • 195 citations

Differential Geometry and Statistics

1993 • 164 citations

Conditional limit theorems under Markov conditioning

1987 • 107 citations

The Exponential Statistical Manifold: Mean Parameters, Orthogonality and Space Transformations

1999 • 85 citations

Information Geometry of Estimating Functions in Semi-Parametric Statistical Models

1997 • 76 citations

Differential geometry of a parametric family of invertible linear systems—Riemannian metric, dual affine connections, and divergence

1987 • 75 citations

Dualistic geometry of the manifold of higher-order neurons

1991 • 69 citations

Statistical inference under multiterminal rate restrictions: a differential geometric approach

1989 • 69 citations

The relation between information theory and the differential geometry approach to statistics

1985 • 68 citations

Information Geometry of Mean-Field Approximation

2000 • 66 citations

Dualistic differential geometry of positive definite matrices and its applications to related problems

1996 • 63 citations

Fisher information under restriction of Shannon information in multi-terminal situations

1989 • 33 citations

Model Dependence in Quantification of Spike Interdependence by Joint Peri-Stimulus Time Histogram

2000 • 29 citations

Information Geometry of Alpha-Projection in Mean Field Approximation

2001 • 10 citations

Information Geometric Analysis of a Interior-Point Method for Semidefinite Programming

1997 • 7 citations