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Related papers: Federated PAC-Bayesian Learning on Non-IID data

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The Probably Approximately Correct (PAC) Bayes framework (McAllester, 1999) can incorporate knowledge about the learning algorithm and (data) distribution through the use of distribution-dependent priors, yielding tighter generalization…

Machine Learning · Computer Science 2019-04-22 Gintare Karolina Dziugaite , Daniel M. Roy

Recent advances in statistical learning theory have revealed profound connections between mutual information (MI) bounds, PAC-Bayesian theory, and Bayesian nonparametrics. This work introduces a novel mutual information bound for…

Machine Learning · Statistics 2025-08-18 El Mahdi Khribch , Pierre Alquier

This paper focuses on Bayesian inference in a federated learning context (FL). While several distributed MCMC algorithms have been proposed, few consider the specific limitations of FL such as communication bottlenecks and statistical…

Machine Learning · Statistics 2022-11-02 Vincent Plassier , Alain Durmus , Eric Moulines

We introduce a novel strategy to train randomised predictors in federated learning, where each node of the network aims at preserving its privacy by releasing a local predictor but keeping secret its training dataset with respect to the…

Machine Learning · Computer Science 2026-05-20 Pierre Jobic , Maxime Haddouche , Benjamin Guedj

Bayesian priors offer a compact yet general means of incorporating domain knowledge into many learning tasks. The correctness of the Bayesian analysis and inference, however, largely depends on accuracy and correctness of these priors.…

Machine Learning · Computer Science 2012-02-20 Mahdi MIlani Fard , Joelle Pineau , Csaba Szepesvari

We use the PAC-Bayesian theory for the setting of learning-to-optimize. To the best of our knowledge, we present the first framework to learn optimization algorithms with provable generalization guarantees (PAC-Bayesian bounds) and explicit…

Machine Learning · Computer Science 2025-02-26 Michael Sucker , Jalal Fadili , Peter Ochs

Federated Learning (FL) aims to infer a shared model from private and decentralized data stored by multiple clients. Personalized FL (PFL) enhances the model's fit for each client by adapting the global model to the clients. A significant…

Machine Learning · Computer Science 2025-03-27 Mahrokh Ghoddousi Boroujeni , Andreas Krause , Giancarlo Ferrari Trecate

We present a unifying picture of PAC-Bayesian and mutual information-based upper bounds on the generalization error of randomized learning algorithms. As we show, Tong Zhang's information exponential inequality (IEI) gives a general recipe…

Machine Learning · Computer Science 2021-10-26 Pradeep Kr. Banerjee , Guido Montúfar

As privacy concerns and data regulations grow, federated learning (FL) has emerged as a promising approach for training machine learning models across decentralized data sources without sharing raw data. However, a significant challenge in…

Machine Learning · Computer Science 2025-06-04 Jungwon Seo , Ferhat Ozgur Catak , Chunming Rong

We apply the PAC-Bayes theory to the setting of learning-to-optimize. To the best of our knowledge, we present the first framework to learn optimization algorithms with provable generalization guarantees (PAC-bounds) and explicit trade-off…

Machine Learning · Computer Science 2023-02-16 Michael Sucker , Peter Ochs

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

One of the main challenges of federated learning (FL) is handling non-independent and identically distributed (non-IID) client data, which may occur in practice due to unbalanced datasets and use of different data sources across clients.…

Machine Learning · Computer Science 2024-10-23 Peng Wu , Tales Imbiriba , Pau Closas

Most PAC-Bayesian bounds hold in the batch learning setting where data is collected at once, prior to inference or prediction. This somewhat departs from many contemporary learning problems where data streams are collected and the…

Machine Learning · Computer Science 2023-01-25 Maxime Haddouche , Benjamin Guedj

Localization and tracking of objects using data-driven methods is a popular topic due to the complexity in characterizing the physics of wireless channel propagation models. In these modeling approaches, data needs to be gathered to…

Machine Learning · Computer Science 2021-07-23 Peng Wu , Tales Imbiriba , Junha Park , Sunwoo Kim , Pau Closas

Pac-Bayes bounds are among the most accurate generalization bounds for classifiers learned from independently and identically distributed (IID) data, and it is particularly so for margin classifiers: there have been recent contributions…

Machine Learning · Computer Science 2010-06-09 Liva Ralaivola , Marie Szafranski , Guillaume Stempfel

Federated Learning (FL) involves training a model over a dataset distributed among clients, with the constraint that each client's dataset is localized and possibly heterogeneous. In FL, small and noisy datasets are common, highlighting the…

Machine Learning · Computer Science 2024-01-11 Mohsin Hasan , Guojun Zhang , Kaiyang Guo , Xi Chen , Pascal Poupart

Federated Learning (FL) is currently one of the most popular technologies in the field of Artificial Intelligence (AI) due to its collaborative learning and ability to preserve client privacy. However, it faces challenges such as…

Machine Learning · Computer Science 2025-06-17 Thanveer Shaik , Xiaohui Tao , Lin Li , Niall Higgins , Raj Gururajan , Xujuan Zhou , Jianming Yong

Recent advances in machine learning have highlighted Federated Learning (FL) as a promising approach that enables multiple distributed users (so-called clients) to collectively train ML models without sharing their private data. While this…

Transfer learning has received a lot of attention in the machine learning community over the last years, and several effective algorithms have been developed. However, relatively little is known about their theoretical properties,…

Machine Learning · Statistics 2014-05-13 Anastasia Pentina , Christoph H. Lampert

When I first encountered PAC-Bayesian concentration inequalities they seemed to me to be rather disconnected from good old-fashioned results like Hoeffding's and Bernstein's inequalities. But, at least for one flavour of the PAC-Bayesian…

Machine Learning · Statistics 2014-05-08 Tim van Erven
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