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An Elementary Introduction to Information Geometry

Entropy (Basel, Switzerland), 2020-09, Vol.22 (10), p.1100

Nielsen, Frank

2020

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On the Jensen-Shannon Symmetrization of Distances Relying on Abstract Means

Entropy (Basel, Switzerland), 2019-05, Vol.21 (5), p.485

Nielsen, Frank

2019

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On a Generalization of the Jensen-Shannon Divergence and the Jensen-Shannon Centroid

Entropy (Basel, Switzerland), 2020-02, Vol.22 (2), p.221

Nielsen, Frank

2020

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On a Variational Definition for the Jensen-Shannon Symmetrization of Distances Based on the Information Radius

Entropy (Basel, Switzerland), 2021-04, Vol.23 (4), p.464

Nielsen, Frank

2021

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A Simple Approximation Method for the Fisher-Rao Distance between Multivariate Normal Distributions

Entropy (Basel, Switzerland), 2023-04, Vol.25 (4), p.654

Nielsen, Frank

2023

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Statistical Divergences between Densities of Truncated Exponential Families with Nested Supports: Duo Bregman and Duo Jensen Divergences

Entropy (Basel, Switzerland), 2022-03, Vol.24 (3), p.421

Nielsen, Frank

2022

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Generalized Bhattacharyya and Chernoff upper bounds on Bayes error using quasi-arithmetic means

Pattern recognition letters, 2014-06, Vol.42, p.25-34

Nielsen, Frank

2014

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Revisiting Chernoff Information with Likelihood Ratio Exponential Families

Entropy (Basel, Switzerland), 2022-10, Vol.24 (10), p.1400

Nielsen, Frank

2022

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Fast Approximations of the Jeffreys Divergence between Univariate Gaussian Mixtures via Mixture Conversions to Exponential-Polynomial Distributions

Entropy (Basel, Switzerland), 2021-10, Vol.23 (11), p.1417

Nielsen, Frank

2021

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The Siegel-Klein Disk: Hilbert Geometry of the Siegel Disk Domain

Entropy (Basel, Switzerland), 2020-09, Vol.22 (9), p.1019

Nielsen, Frank

2020

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On Voronoi Diagrams on the Information-Geometric Cauchy Manifolds

Entropy (Basel, Switzerland), 2020-06, Vol.22 (7), p.713

Nielsen, Frank

2020

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Generalizing the Alpha-Divergences and the Oriented Kullback–Leibler Divergences with Quasi-Arithmetic Means

Algorithms, 2022-11, Vol.15 (11), p.435

Nielsen, Frank

2022

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On the chi square and higher-order chi distances for approximating f-divergences

IEEE signal processing letters, 2014-01, Vol.21 (1), p.10-13

2014

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Progress in Information Geometry: Theory and Applications

Nielsen, Frank

1st Edition 2021, 2021

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Guaranteed Bounds on Information-Theoretic Measures of Univariate Mixtures Using Piecewise Log-Sum-Exp Inequalities

Entropy (Basel, Switzerland), 2016-12, Vol.18 (12), p.442-442

2016

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Geometric Structures of Information

Nielsen, Frank

1st ed. 2019., 2018

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A closed-form expression for the Sharma-Mittal entropy of exponential families

Journal of physics. A, Mathematical and theoretical, 2012-01, Vol.45 (3), p.032003-8

2012

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Geometric Science of Information: 6th International Conference, GSI 2023, St. Malo, France, August 30 - September 1, 2023, Proceedings, Part II

1, 2023

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Geometric Science of Information: 6th International Conference, GSI 2023, St. Malo, France, August 30 - September 1, 2023, Proceedings, Part I

1, 2023

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Geometric Science of Information: 5th International Conference, GSI 2021, Paris, France, July 21-23, 2021, Proceedings

1st Edition 2021, 2021

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Geometric Structures of Statistical Physics, Information Geometry, and Learning: SPIGL'20, les Houches, France, July 27-31

1st ed. 2021., 2021

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A vector autoregressive model for electricity prices subject to long memory and regime switching

Energy economics, 2010-09, Vol.32 (5), p.1044-1058

2010

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Local polynomial Whittle estimation of perturbed fractional processes

Journal of econometrics, 2012-04, Vol.167 (2), p.426-447

2012

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The Kullback–Leibler Divergence Between Lattice Gaussian Distributions

Journal of the Indian Institute of Science, 2022-10, Vol.102 (4), p.1177-1188

Nielsen, Frank

2022

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Deposition of Inorganic Carbonate, Sulfate, and Sulfide Scales on Antifouling Surfaces in Multiphase Flow

Energy & fuels, 2017-11, Vol.31 (11), p.11838-11851

2017

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An Elementary Introduction to Information Geometry

On the Jensen-Shannon Symmetrization of Distances Relying on Abstract Means

On a Generalization of the Jensen-Shannon Divergence and the Jensen-Shannon Centroid

On a Variational Definition for the Jensen-Shannon Symmetrization of Distances Based on the Information Radius

A Simple Approximation Method for the Fisher-Rao Distance between Multivariate Normal Distributions

Statistical Divergences between Densities of Truncated Exponential Families with Nested Supports: Duo Bregman and Duo Jensen Divergences

Generalized Bhattacharyya and Chernoff upper bounds on Bayes error using quasi-arithmetic means

Revisiting Chernoff Information with Likelihood Ratio Exponential Families

Fast Approximations of the Jeffreys Divergence between Univariate Gaussian Mixtures via Mixture Conversions to Exponential-Polynomial Distributions

The Siegel-Klein Disk: Hilbert Geometry of the Siegel Disk Domain

On Voronoi Diagrams on the Information-Geometric Cauchy Manifolds

Generalizing the Alpha-Divergences and the Oriented Kullback–Leibler Divergences with Quasi-Arithmetic Means

On the chi square and higher-order chi distances for approximating f-divergences

Progress in Information Geometry: Theory and Applications

Guaranteed Bounds on Information-Theoretic Measures of Univariate Mixtures Using Piecewise Log-Sum-Exp Inequalities

Geometric Structures of Information

A closed-form expression for the Sharma-Mittal entropy of exponential families

Geometric Science of Information: 6th International Conference, GSI 2023, St. Malo, France, August 30 - September 1, 2023, Proceedings, Part II

Geometric Science of Information: 6th International Conference, GSI 2023, St. Malo, France, August 30 - September 1, 2023, Proceedings, Part I

Geometric Science of Information: 5th International Conference, GSI 2021, Paris, France, July 21-23, 2021, Proceedings

Geometric Structures of Statistical Physics, Information Geometry, and Learning: SPIGL'20, les Houches, France, July 27-31

A vector autoregressive model for electricity prices subject to long memory and regime switching

Local polynomial Whittle estimation of perturbed fractional processes

The Kullback–Leibler Divergence Between Lattice Gaussian Distributions

Deposition of Inorganic Carbonate, Sulfate, and Sulfide Scales on Antifouling Surfaces in Multiphase Flow

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