User-friendly introduction to PAC-Bayes bounds

P Alquier - Foundations and Trends® in Machine Learning, 2024 - nowpublishers.com
Aggregated predictors are obtained by making a set of basic predictors vote according to
some weights, that is, to some probability distribution. Randomized predictors are obtained …

Concentration of tempered posteriors and of their variational approximations

P Alquier, J Ridgway - 2020 - projecteuclid.org
Concentration of tempered posteriors and of their variational approximations Page 1 The
Annals of Statistics 2020, Vol. 48, No. 3, 1475–1497 https://doi.org/10.1214/19-AOS1855 © …

Consistency of variational Bayes inference for estimation and model selection in mixtures

BE Chérief-Abdellatif, P Alquier - 2018 - projecteuclid.org
Supplement to “Consistency of variational Bayes inference for estimation and model
selection in mixtures”. The supplementary material zip contains the description of a short …

Estimation bounds and sharp oracle inequalities of regularized procedures with Lipschitz loss functions

P Alquier, V Cottet, G Lecué - 2019 - projecteuclid.org
Supplementary material to “Estimation bounds and sharp oracle inequalities of regularized
procedures with Lipschitz loss functions”. In the supplementary material, we provide a …

Improving application performance with biased distributions of quantum states

S Lohani, JM Lukens, DE Jones, TA Searles… - Physical Review …, 2021 - APS
We consider the properties of a specific distribution of mixed quantum states of arbitrary
dimension that can be biased towards a specific mean purity. In particular, we analyze …

Misclassification bounds for PAC-Bayesian sparse deep learning

TT Mai - Machine Learning, 2025 - Springer
Recently, there has been a significant focus on exploring the theoretical aspects of deep
learning, especially regarding its performance in classification tasks. Bayesian deep …

A reduced-rank approach to predicting multiple binary responses through machine learning

TT Mai - Statistics and Computing, 2023 - Springer
This paper investigates the problem of simultaneously predicting multiple binary responses
by utilizing a shared set of covariates. Our approach incorporates machine learning …

A generalization bound for online variational inference

BE Chérief-Abdellatif, P Alquier… - Asian conference on …, 2019 - proceedings.mlr.press
Bayesian inference provides an attractive online-learning framework to analyze sequential
data, and offers generalization guarantees which hold even with model mismatch and …

From bilinear regression to inductive matrix completion: a quasi-Bayesian analysis

TT Mai - Entropy, 2023 - mdpi.com
In this paper, we study the problem of bilinear regression, a type of statistical modeling that
deals with multiple variables and multiple responses. One of the main difficulties that arise in …

Approximate bayesian inference

P Alquier - Entropy, 2020 - mdpi.com
Entropy | Free Full-Text | Approximate Bayesian Inference Next Article in Journal Minimum
Spanning vs. Principal Trees for Structured Approximations of Multi-Dimensional Datasets …