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A learning method is self-certified if it uses all available data to simultaneously learn a predictor and certify its quality with a tight statistical certificate that is valid on unseen data. Recent work has shown that neural network…

Machine Learning · Computer Science 2021-12-13 Maria Perez-Ortiz , Omar Rivasplata , Emilio Parrado-Hernandez , Benjamin Guedj , John Shawe-Taylor

This paper presents an empirical study regarding training probabilistic neural networks using training objectives derived from PAC-Bayes bounds. In the context of probabilistic neural networks, the output of training is a probability…

Machine Learning · Computer Science 2021-09-23 María Pérez-Ortiz , Omar Rivasplata , John Shawe-Taylor , Csaba Szepesvári

Recent works have investigated deep learning models trained by optimising PAC-Bayes bounds, with priors that are learnt on subsets of the data. This combination has been shown to lead not only to accurate classifiers, but also to remarkably…

Deep actor-critic algorithms have reached a level where they influence everyday life. They are a driving force behind continual improvement of large language models through user feedback. However, their deployment in physical systems is not…

Machine Learning · Computer Science 2025-11-27 Bahareh Tasdighi , Manuel Haussmann , Yi-Shan Wu , Andres R. Masegosa , Melih Kandemir

We derive a novel PAC-Bayesian generalization bound for reinforcement learning that explicitly accounts for Markov dependencies in the data, through the chain's mixing time. This contributes to overcoming challenges in obtaining…

Machine Learning · Computer Science 2026-02-10 Abdelkrim Zitouni , Mehdi Hennequin , Juba Agoun , Ryan Horache , Nadia Kabachi , Omar Rivasplata

A standard approach in pattern classification is to estimate the distributions of the label classes, and then to apply the Bayes classifier to the estimates of the distributions in order to classify unlabeled examples. As one might expect,…

Machine Learning · Computer Science 2007-05-23 Nick Palmer , Paul W. Goldberg

Contrastive representation learning is a modern paradigm for learning representations of unlabeled data via augmentations -- precisely, contrastive models learn to embed semantically similar pairs of samples (positive pairs) closer than…

Machine Learning · Statistics 2026-01-01 Anna Van Elst , Debarghya Ghoshdastidar

Application of deep neural networks to medical imaging tasks has in some sense become commonplace. Still, a "thorn in the side" of the deep learning movement is the argument that deep networks are prone to overfitting and are thus unable to…

Machine Learning · Computer Science 2021-07-12 Anthony Sicilia , Xingchen Zhao , Anastasia Sosnovskikh , Seong Jae Hwang

Classification of high dimensional data finds wide-ranging applications. In many of these applications equipping the resulting classification with a measure of uncertainty may be as important as the classification itself. In this paper we…

Machine Learning · Computer Science 2018-02-12 Andrea L. Bertozzi , Xiyang Luo , Andrew M. Stuart , Konstantinos C. Zygalakis

This paper presents four theoretical contributions that improve the usability of risk certificates for neural networks based on PAC-Bayes bounds. First, two bounds on the KL divergence between Bernoulli distributions enable the derivation…

Machine Learning · Computer Science 2025-11-12 Diego García-Pérez , Emilio Parrado-Hernández , John Shawe-Taylor

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 predictive risk and fairness constraints. We propose a…

Inductive Conformal Prediction (ICP) provides a practical and effective approach for equipping deep learning models with uncertainty estimates in the form of set-valued predictions which are guaranteed to contain the ground truth with high…

Machine Learning · Computer Science 2023-12-11 Apoorva Sharma , Sushant Veer , Asher Hancock , Heng Yang , Marco Pavone , Anirudha Majumdar

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 has emerged as a unified probabilistic framework,…

Statistics Theory · Mathematics 2025-01-24 The Tien Mai

Deep neural classifiers tend to rely on spurious correlations between spurious attributes of inputs and targets to make predictions, which could jeopardize their generalization capability. Training classifiers robust to spurious…

Machine Learning · Computer Science 2024-05-07 Guangtao Zheng , Wenqian Ye , Aidong Zhang

A key challenge for deploying deep neural networks (DNNs) in safety critical settings is the need to provide rigorous ways to quantify their uncertainty. In this paper, we propose a novel algorithm for constructing predicted classification…

Machine Learning · Computer Science 2021-03-19 Sangdon Park , Shuo Li , Insup Lee , Osbert Bastani

Probabilistic generative modeling of data distributions can potentially exploit hidden information which is useful for discriminative classification. This observation has motivated the development of approaches that couple generative and…

Machine Learning · Computer Science 2012-04-17 Xiong Li , Tai Sing Lee , Yuncai Liu

We propose a novel method for closed-form predictive distribution modeling with neural nets. In quantifying prediction uncertainty, we build on Evidential Deep Learning, which has been impactful as being both simple to implement and giving…

Machine Learning · Statistics 2021-01-22 Manuel Haussmann , Sebastian Gerwinn , Melih Kandemir

Generalization bounds for deep learning models are typically vacuous, not computable or restricted to specific model classes. In this paper, we tackle these issues by providing new disagreement-based certificates for the gap between the…

Machine Learning · Computer Science 2026-02-27 Mathieu Bazinet , Valentina Zantedeschi , Pascal Germain

Empirically, the PAC-Bayesian analysis is known to produce tight risk bounds for practical machine learning algorithms. However, in its naive form, it can only deal with stochastic predictors while such predictors are rarely used and…

Machine Learning · Statistics 2019-11-22 Kohei Miyaguchi

Previous research on PAC-Bayes learning theory has focused extensively on establishing tight upper bounds for test errors. A recently proposed training procedure called PAC-Bayes training, updates the model toward minimizing these bounds.…

Machine Learning · Statistics 2024-10-22 Xitong Zhang , Avrajit Ghosh , Guangliang Liu , Rongrong Wang
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