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 …
some weights, that is, to some probability distribution. Randomized predictors are obtained …
Concentration of tempered posteriors and of their variational approximations
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 © …
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 …
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
Supplementary material to “Estimation bounds and sharp oracle inequalities of regularized
procedures with Lipschitz loss functions”. In the supplementary material, we provide a …
procedures with Lipschitz loss functions”. In the supplementary material, we provide a …
Improving application performance with biased distributions of quantum states
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 …
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 …
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 …
by utilizing a shared set of covariates. Our approach incorporates machine learning …
A generalization bound for online variational inference
Bayesian inference provides an attractive online-learning framework to analyze sequential
data, and offers generalization guarantees which hold even with model mismatch and …
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 …
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 …
Spanning vs. Principal Trees for Structured Approximations of Multi-Dimensional Datasets …