Frank NIELSEN
PhD'96, HDR'06
Sony CSL, Fellow
ELLIS, Fellow
Short biography
Generalizing the Alpha-Divergences
and the Oriented Kullback–Leibler Divergences with Quasi-Arithmetic 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 f-divergences between multivariate location-scale 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), 362-376
- 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 Jensen-Shannon Symmetrization of Distances Based on the Information Radius, Entropy 2021
On a Generalization of the Jensen-Shannon Divergence and the Jensen–Shannon Centroid, Entropy 2020
[Publications by reverse chronological order] [pdf]
- 📖 Publications sorted by research interest: [Google Scholar] [DBLP] [Books]
- [Information geometry], [divergences] and [computational geometry]
- Information theory and mathematical statistics, [clustering]
- [Dissimilarities, distances, divergences, and losses]
- [clustering] (centroids/centers) and generative models, [deep learning] and machine learning
- Visual computing, [image/video stitching] and computational photography
- [Geometric combinatorial optimization]
- Data science for [systems biology]
- Slides and 📹 video
- Software
- Portal Geometric Science of Information (GSI)
- Textbooks:
- Introduction to HPC with MPI for Data Science, Springer, 2016.
- A Concise and Practical Introduction to Programming Algorithms in Java, Springer, 2009.
- Visual Computing: Geometry, Graphics, and Vision, Charles River Media, 2005.
- Journal editorial boards
and conference/workshop/event organizations
- Forthcoming events and activities:
- Geometric Science of Information (GSI), 30 Aug-1st 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 18-22 2022
- International Conference on Information Geometry for Data Science, Sept. 19-23, Hamburg, Germany. Poster
- Handbook of Statistics (Volume 46). Book home page, July 2022