Frank NIELSEN PhD'96, HDR'06
Sony CSL, Fellow
ELLIS, Fellow
Short biography
My motto: "Structure invariance is the only constant in change!"
Blog
Tweets
Research cards (510+)
Curated book lists

 Product JacobiTheta Boltzmann machines with score matching,
Proceedings of 21st International Workshop on Advanced Computing and Analysis Techniques in Physics Research
(ACAT22), IOP Press, 2023
 Simplifying Momentumbased Riemannian Submanifold Optimization
, 2023

On fdivergences between Cauchy distributions, IEEE Transactions on Information Theory (with Kazuki Okamura, to appear)
 Generalizing the AlphaDivergences
and the Oriented Kullback–Leibler Divergences with QuasiArithmetic Means, Algorithms 2022, 15(11), 435
 Practical Structured Riemannian Optimization with Momentum by using
Generalized Normal Coordinates, NeurReps Workshop of NeurIPS 2022,
(with Wu Lin, Valentin Duruisseaux, Melvin Leok Mohammad Emtiyaz Khan, Mark Schmidt)
 Introduction
to Information Geometry, MaxEnt'22 tutorial
 Information measures and information geometry of the Zeta distributions (MaxEnt'22)
 Revisiting Chernoff Information with Likelihood Ratio Exponential Families, Entropy 2022, 24(10), 1400
 A note on the fdivergences between multivariate locationscale families with either prescribed scale matrices or location parameters, submitted
 The analytic dually flat space of the mixture family
of two prescribed distinct Cauchy distributions, Handbook of Statistics (Elsevier), Volume 46, 2022

Statistical Divergences between Densities of Truncated Exponential Families with Nested Supports: Duo Bregman
and Duo Jensen Divergences, Entropy 2022, 24(3)

Onicescu’s Informational Energy and Correlation Coefficient in Exponential Families, Foundations 2022, 2(2), 362376
 The
Kullback–Leibler Divergence Between Lattice Gaussian Distributions,
Journal of the Indian Institute of Science (2022),
[2109.14920]
 The Many Faces of Information Geometry,
AMS Notices, 2022

On a Variational Definition for the JensenShannon Symmetrization of Distances Based
on the Information Radius, Entropy 2021

On a Generalization of the JensenShannon Divergence and the Jensen–Shannon Centroid, Entropy 2020
[Publications by reverse
chronological order] [pdf]
 📖 Publications sorted by research interest: [Google Scholar] [DBLP] [Books]
 Slides and 📹 video
 Software
 Portal Geometric Science of Information (GSI)
 Textbooks:
 Journal editorial boards
and conference/workshop/event organizations
 Forthcoming events and activities:
 Geometric Science of Information (GSI), 30 Aug1st Sept 2023, Saint Malo, France.
 Special Issue of Information Geometry journal:
Half a Century of Information Geometry
 Symmetry
and Geometry in Neural Representations, NeurIPS workshop 2022 (Dec., New Orleans)
 International Conference on Bayesian and Maximum Entropy
methods in Science and Engineering (MaxEnt’22) at
Institut Henri Poincaré, July 1822 2022
 International Conference
on Information Geometry for Data Science, Sept. 1923, Hamburg, Germany.
Poster
 Handbook of Statistics (Volume 46).
Book home page, July 2022
