Thanks to all my coauthors!
Publications
[Books]
[DBLP]
[Google Scholar] [Books]
[ResearchGate]
[arXiv preprints]
Recent publications (PDF)
Preprints
2024
- Hyperbolic
Embeddings of Supervised Models, NeurIPS 2024
(with Richard Nock, Ehsan Amid, Alexander Soen and Manfred K. Warmuth)
- Approximation and bounding techniques for the Fisher-Rao distances
between parametric statistical models, Handbook of Statistics: Probability models, vol. 51, Elsevier, 2024 (2403.10089)
- A Rate-Distortion View of Uncertainty Quantification, ICML'24
(with Ifigeneia Apostolopoulou, Benjamin Eysenbach and Artur Dubrawski), 2406.10775
[Paper]
[Code]
[Poster]
[Tweet thread]
- Divergences Induced by the Cumulant and Partition Functions of Exponential Families
and Their Deformations Induced by Comparative Convexity, Entropy 26(3), 2024.
2312.12849
- Home page of pyBregMan:
A Python package for Bregman Manifolds
pyBregMan: A Python library for Bregman Manifolds (arXiv:2408.04175)
Colab:
Data Representations on the Bregman Manifold, tutorial for the GRaM workshop at ICML 2024 (with Alexander Soen).
- On the f-divergences between densities of a multivariate location or scale family,
Statistics and Computing (Springer), 34(60), 2024.
2204.10952 (with Kazuki Okamura)
- Optimal Transport with
Tempered Exponential Measures, Proceedings of AAAI'24.
2309.04015 (with Ehsan Amid, Richard Nock and Manfred Warmuth)
- Variational representations of annealing paths: Bregman information under monotonic embedding,
Information geometry, 2024.
2209.07481 (with Rob Brekelmans)
2023
-
What is... an inductive mean?,
Notices of the American Mathematical Society, 2023
web page,
extended paper 2410.15717 (fixed typos, include more references and background).
- Fisher-Rao and pullback Hilbert cone distances on the multivariate Gaussian manifold with applications to simplification and
quantization of mixtures,
2nd Annual Topology,
Algebra, and Geometry in Machine Learning Workshop (ICML TAGML'23)
poster,
Slides
video
- Non-linear Embeddings in Hilbert Simplex Geometry, 2nd Annual Topology,
Algebra, and Geometry in Machine Learning Workshop (ICML TAGML)' 23
slides,
poster, 2023.
2203.11434
- Simplifying Momentum-based Positive-definite
Submanifold Optimization with Applications to Deep Learning, ICML'23
2302.09738
(with Wu Lin, Valentin Duruisseaux, Melvin Leok, Mohammad Emtiyaz Khan, Mark Schmidt)
- On the f-divergences between hyperboloid and
Poincaré distributions, GSI'23
2205.13984,
Slides
video.
This work highlights the notion of maximal invariant
- Quasi-arithmetic centers, quasi-arithmetic
mixtures, and the Jensen-Shannon ∇-divergences, GSI'23
(Paper@Springer),
Slides,
video.
2301.10980
- A Simple Approximation Method
for the Fisher-Rao Distance
between Multivariate Normal Distributions,
Entropy 25(4), 654, 2023
web page
-
On f-divergences between Cauchy distributions,
IEEE Transactions on Information Theory, 69(5), 3150 - 3171, 2023.
2101.12459 (with Kazuki Okamura)
- Proceedings of 6th International Conference on Geometric Science of Information, GSI 2023,
LNCS (Springer), Part I
and Part II
(with Frédéric Barbaresco)
- Proceedings of the 41st International Workshop
on Bayesian Inference and Maximum Entropy Methods in Science and Engineering,
MaxEnt 2022, Phys. Sci. Forum, 2023.
(with Frédéric Barbaresco, Ali Mohammad-Djafari and Martino Trassinelli)
Before 2023
Entropy papers with local PDFs for fast previewing:
- pdf Divergences Induced by the Cumulant and Partition Functions of Exponential Families and Their Deformations Induced by Comparative Convexity. Entropy 26(3): 193 (2024)
- pdf A Simple Approximation Method for the Fisher-Rao Distance between Multivariate Normal Distributions. Entropy 25(4): 654 (2023)
- pdf Statistical Divergences between Densities of Truncated Exponential Families with Nested Supports: Duo Bregman and Duo Jensen Divergences. Entropy 24(3): 421 (2022)
- pdf Revisiting Chernoff Information with Likelihood Ratio Exponential Families. Entropy 24(10): 1400 (2022)
- pdf On a Variational Definition for the Jensen-Shannon Symmetrization of Distances Based on the Information Radius. Entropy 23(4): 464 (2021)
- pdf Fast Approximations of the Jeffreys Divergence between Univariate Gaussian Mixtures via Mixture Conversions to Exponential-Polynomial Distributions. Entropy 23(11): 1417 (2021)
- pdf On a Generalization of the Jensen-Shannon Divergence and the Jensen-Shannon Centroid. Entropy 22(2): 221 (2020)
- pdf On Voronoi Diagrams on the Information-Geometric Cauchy Manifolds. Entropy 22(7): 713 (2020)
- pdf The Siegel-Klein Disk: Hilbert Geometry of the Siegel Disk Domain. Entropy 22(9): 1019 (2020)
- pdf An Elementary Introduction to Information Geometry. Entropy 22(10): 1100 (2020)
- pdf On the Jensen-Shannon Symmetrization of Distances Relying on Abstract Means. Entropy 21(5): 485 (2019)
- pdf Computational Information Geometry for Binary Classification of High-Dimensional Random Tensors. Entropy 20(3): 203 (2018)
- pdf On Holder Projective Divergences. Entropy 19(3): 122 (2017)
- pdf Guaranteed Bounds on Information-Theoretic Measures of Univariate Mixtures Using Piecewise Log-Sum-Exp Inequalities. Entropy 18(12): 442 (2016)
- pdf On Clustering Histograms with k-Means by Using Mixed α-Divergences. Entropy 16(6): 3273-3301 (2014)
- pdf Hierarchical clustering,
Introduction to HPC with MPI for Data Science (2016): 195-211.
Overview of some contributions on computational geometry on various geometric structures beyond the Euclidean structure
Books