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20112026
most citedDistinguishing standard and modified gravity cosmologies with machine learning

68 citations

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23 papers · 1 filter

math.ST2026

A uniform relative deviation inequality for VC-subgraph classes

François Portier

We establish a new Bernstein-type deviation inequality for classes of functions whose complexity is characterized through subgraphs. The inequality is non-asymptotic, involves expl…

math.ST2026

A Kernel Two-Sample Test Invariant under Group Action with Applications to Functional Data

Madison Giacofci, Anouar Meynaoui, Alex Podgorny

We introduce a kernel-based two-sample test for comparing probability distributions up to group actions. Our construction yields invariant kernels for locally compact -compact g…

math.ST2026

Asymmetric conformal prediction with penalized kernel sum-of-squares

Louis Allain, Sébastien Da Veiga, Brian Staber

Conformal prediction (CP) is a distribution-free method to construct reliable prediction intervals that has gained significant attention in recent years. Despite its success and va…

math.ST2025

Adaptive Algorithms for Infinitely Many-Armed Bandits: A Unified Framework

Emmanuel Pilliat

We consider a bandit problem where the buget is smaller than the number of arms, which may be infinite. In this regime, the usual objective in the literature is to minimize simple…

math.ST2025

On the pointwise and sup-norm errors for local regression estimators

Jérémy Bettinger, François Portier, Adrien Saumard

In this paper, we analyze the behavior of various non-parametric local regression estimators, i.e. estimators that are based on local averaging, for estimating a Lipschitz regressi…

math.ST2025

A model-based approach to density estimation in sup-norm

Guillaume Maillard

We define a general method for finding a quasi-best approximant in sup-norm to a target density belonging to a given model, based on independent samples drawn from distributions wh…