Recent publications (PDF)

- Equivariant log-extrinsic means on irreducible symmetric cones , preprint 2024 with Emmanuel Chevallier.
- 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
- pyBregMan: A Python package for Bregman Manifolds

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)
- What is... an inductive mean?, Notices of the American Mathematical Society, 2023 (Dec.), web page
- 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)

- Introduction to HPC with MPI for Data Science, Springer, 2016 (also available in Chinese and French)
- A Concise and Practical Introduction to Programming Algorithms in Java, Springer, 2009 (also available in Chinese)
- Visual Computing: Geometry, Graphics, and Vision, Charles River Media, 2005.