Vigtigste forskningsinteresser
Forskningspublikationer og ressourcer
Geometric Science of Information (GSI'27)
Medarrangør af GSI'27, som afholdes den 24.–27. august 2027
på ENAC-campus i Toulouse, Frankrig.
Konferencens hjemmeside
Nylige tekniske rapporter
Forskningsarbejder under udarbejdelse med henblik på
offentliggørelse i fagfællebedømte tidsskrifter.
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Dual-connection midpoint matrix means and their Gauss composition
, arXiv:2609.07551
-
Minimum enclosing Bregman balls made easy
, arXiv:2607.24197
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Group invariance of f-divergences and the Fisher-Rao distance
, arXiv:2606.25790
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Neural Legendre-Fenchel transform with Hessian Preconditioning
, arXiv:2606.09077
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Generalising maximum mean discrepancy: kernelised functional
Bregman divergences
, arXiv:2604.24047
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Quadratic polarity and polar Fenchel-Young divergences
from the canonical Legendre polarity
, arXiv:2603.04812
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Geometric structures and deviations on James' symmetric
positive-definite matrix bicone domain
, arXiv:2603.02483
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Scales of Fréchet means and Karcher quasi-arithmetic means
, arXiv:2511.21173
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pyBregMan: A Python library for Bregman Manifolds
, arXiv:2408.04175
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Tempered Calculus for ML: Application to Hyperbolic Model Embedding
, arXiv:2402.04163
Udvalgte videnskabelige arbejder
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The Many Faces of Information Geometry,
AMS Notices, 2022.
MR 4353351
.
Videovejledning.
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Approximation and bounding techniques for the Fisher-Rao
distances between parametric statistical models
,
Handbook of Statistics (51), Elsevier, 2024.
arXiv.
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On f-Divergences Between Cauchy Distributions,
IEEE Transactions on Information Theory, 2023.
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Statistical divergences between densities of truncated
exponential families with nested supports: Duo Bregman
and duo Jensen divergences
,
Entropy, 2022.
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On a Generalization of the Jensen–Shannon Divergence
and the Jensen–Shannon Centroid
,
Entropy, 2022.
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Revisiting Chernoff information with likelihood ratio
exponential families
,
Entropy, 2022.
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On conformal divergences and their population minimizers,
IEEE Transactions on Information Theory 62(1), 2015.
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Generalized Bhattacharyya and Chernoff upper bounds
on Bayes error using quasi-arithmetic means
,
Pattern Recognition Letters 42, 2014.
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Optimal interval clustering: Application to Bregman
clustering and statistical mixture learning
,
IEEE Signal Processing Letters 21(10), 2014.
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On the chi square and higher-order chi distances
for approximating f-divergences
,
IEEE Signal Processing Letters, 2013.
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Jeffreys centroids: A closed-form expression for positive
histograms and a guaranteed tight approximation
for frequency histograms
,
IEEE Signal Processing Letters 20(7), 2013.
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Shape retrieval using hierarchical total Bregman soft clustering
,
IEEE Transactions on Pattern Analysis and Machine Intelligence, 2012.
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The Burbea-Rao and Bhattacharyya centroids,
IEEE Transactions on Information Theory, 2011.
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Hierarchical clustering,
kapitel 8 i Introduction to HPC with MPI for Data Science,
Springer, 2016.
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A closed-form expression for the Sharma–Mittal entropy
of exponential families
,
Journal of Physics A: Mathematical and Theoretical 45(3), 2011.
-
Bregman Voronoi diagrams,
Discrete & Computational Geometry 44, 2010.
Konferenceversion: SODA 2007.
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Hyperbolic Voronoi diagrams made easy,
IEEE International Conference on Computational Science
and Its Applications, 2010.
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Approximating smallest enclosing balls with applications
to machine learning
,
International Journal of Computational Geometry
& Applications 19(05), 2009.
