Publications
[Books]
[DBLP]
[Google Scholar] [Books]
[ResearchGate]
[arXiv preprints]
Recent publications (PDF)
- Divergences Induced by the Cumulant and Partition Functions of Exponential Families
and Their Deformations Induced by Comparative Convexity, Entropy 26(3), 2024.
2312.12849
- 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)
Check DBLP or
Google Scholar for papers before 2023
Books
