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20212026
most citedA PAC-Bayes Analysis of Adversarial Robustness

3 citations · 8 across the 12 of their papers we have counts for

collaborators

13 papers

stat.ML2026

On the disintegration of the stochastic majority vote: From PAC-Bayesian bounds to a self-bounding algorithm

Julien Bastian, Benjamin Leblanc, Pascal Germain +4

Weighted majority votes are central to many successful ensemble methods. PAC-Bayesian theory provides tight generalization guarantees for such models by analyzing the expected risk…

stat.ML2026

PAC-Bayesian Generalization Guarantees for Fairness on Stochastic and Deterministic Classifiers

Julien Bastian, Benjamin Leblanc, Pascal Germain +5

Classical PAC generalization bounds on the prediction risk of a classifier are insufficient to provide theoretical guarantees on fairness when the goal is to learn models balancing…

stat.ML2025

PAC-Bayesian Bounds on Constrained f-Entropic Risk Measures

Hind Atbir, Farah Cherfaoui, Guillaume Metzler +2

PAC generalization bounds on the risk, when expressed in terms of the expected loss, are often insufficient to capture imbalances between subgroups in the data. To overcome this li…

stat.ML2024

Uniform Generalization Bounds on Data-Dependent Hypothesis Sets via PAC-Bayesian Theory on Random Sets

Benjamin Dupuis, Paul Viallard, George Deligiannidis +1

We propose data-dependent uniform generalization bounds by approaching the problem from a PAC-Bayesian perspective. We first apply the PAC-Bayesian framework on "random sets" in a…

stat.ML2024

Leveraging PAC-Bayes Theory and Gibbs Distributions for Generalization Bounds with Complexity Measures

Paul Viallard, Rémi Emonet, Amaury Habrard +2

In statistical learning theory, a generalization bound usually involves a complexity measure imposed by the considered theoretical framework. This limits the scope of such bounds,…

stat.ML2024

Tighter Generalisation Bounds via Interpolation

Paul Viallard, Maxime Haddouche, Umut Şimşekli +1

This paper contains a recipe for deriving new PAC-Bayes generalisation bounds based on the -divergence, and, in addition, presents PAC-Bayes generalisation bounds where we…

stat.ML2024

A PAC-Bayesian Link Between Generalisation and Flat Minima

Maxime Haddouche, Paul Viallard, Umut Simsekli +1

Modern machine learning usually involves predictors in the overparameterised setting (number of trained parameters greater than dataset size), and their training yields not only go…

stat.ML2023

From Mutual Information to Expected Dynamics: New Generalization Bounds for Heavy-Tailed SGD

Benjamin Dupuis, Paul Viallard

Understanding the generalization abilities of modern machine learning algorithms has been a major research topic over the past decades. In recent years, the learning dynamics of St…

stat.ML2023★ 2 cited

Learning via Wasserstein-Based High Probability Generalisation Bounds

Paul Viallard, Maxime Haddouche, Umut Şimşekli +1

Minimising upper bounds on the population risk or the generalisation gap has been widely used in structural risk minimisation (SRM) -- this is in particular at the core of PAC-Baye…

cs.LG2021★ 2 cited

Learning Stochastic Majority Votes by Minimizing a PAC-Bayes Generalization Bound

Valentina Zantedeschi, Paul Viallard, Emilie Morvant +4

We investigate a stochastic counterpart of majority votes over finite ensembles of classifiers, and study its generalization properties. While our approach holds for arbitrary dist…

stat.ML2021

Self-Bounding Majority Vote Learning Algorithms by the Direct Minimization of a Tight PAC-Bayesian C-Bound

Paul Viallard, Pascal Germain, Amaury Habrard +1

In the PAC-Bayesian literature, the C-Bound refers to an insightful relation between the risk of a majority vote classifier (under the zero-one loss) and the first two moments of i…

cs.LG2021★ 3 cited

A PAC-Bayes Analysis of Adversarial Robustness

Paul Viallard, Guillaume Vidot, Amaury Habrard +1

We propose the first general PAC-Bayesian generalization bounds for adversarial robustness, that estimate, at test time, how much a model will be invariant to imperceptible perturb…

stat.ML2021★ 1 cited

A General Framework for the Practical Disintegration of PAC-Bayesian Bounds

Paul Viallard, Pascal Germain, Amaury Habrard +1

PAC-Bayesian bounds are known to be tight and informative when studying the generalization ability of randomized classifiers. However, they require a loose and costly derandomizati…