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Background: Deep learning models are typically trained using stochastic gradient descent or one of its variants. These methods update the weights using their gradient, estimated from a small fraction of the training data. It has been…

Machine Learning · Statistics 2018-01-03 Elad Hoffer , Itay Hubara , Daniel Soudry

Multiview learning has drawn widespread attention for its efficacy in leveraging cross-view consensus and complementarity information to achieve a comprehensive representation of data. While multi-view learning has undergone vigorous…

Machine Learning · Statistics 2025-01-29 Wen Wen , Tieliang Gong , Yuxin Dong , Shujian Yu , Weizhan Zhang

Traditional generalization results in statistical learning require a training data set made of independently drawn examples. Most of the recent efforts to relax this independence assumption have considered either purely temporal (mixing)…

Machine Learning · Statistics 2024-10-14 Baptiste Abélès , Eugenio Clerico , Gergely Neu

Multiclass neural networks are a common tool in modern unsupervised domain adaptation, yet an appropriate theoretical description for their non-uniform sample complexity is lacking in the adaptation literature. To fill this gap, we propose…

Machine Learning · Computer Science 2022-07-13 Anthony Sicilia , Katherine Atwell , Malihe Alikhani , Seong Jae Hwang

Meta-learning leverages related source tasks to learn an initialization that can be quickly fine-tuned to a target task with limited labeled examples. However, many popular meta-learning algorithms, such as model-agnostic meta-learning…

Machine Learning · Statistics 2020-03-24 Diana Cai , Rishit Sheth , Lester Mackey , Nicolo Fusi

Meta-learning empowers learning systems with the ability to acquire knowledge from multiple tasks, enabling faster adaptation and generalization to new tasks. This review provides a comprehensive technical overview of meta-learning,…

Machine Learning · Computer Science 2023-07-11 Anna Vettoruzzo , Mohamed-Rafik Bouguelia , Joaquin Vanschoren , Thorsteinn Rögnvaldsson , KC Santosh

Bayesian meta-learning enables robust and fast adaptation to new tasks with uncertainty assessment. The key idea behind Bayesian meta-learning is empirical Bayes inference of hierarchical model. In this work, we extend this framework to…

Machine Learning · Computer Science 2020-11-19 Yayi Zou , Xiaoqi Lu

This paper presents a novel optimization method for maximizing generalization over tasks in meta-learning. The goal of meta-learning is to learn a model for an agent adapting rapidly when presented with previously unseen tasks. Tasks are…

Machine Learning · Computer Science 2018-10-19 Amir Erfan Eshratifar , David Eigen , Massoud Pedram

Machine learning models have traditionally been developed under the assumption that the training and test distributions match exactly. However, recent success in few-shot learning and related problems are encouraging signs that these models…

Machine Learning · Statistics 2020-10-15 James Lucas , Mengye Ren , Irene Kameni , Toniann Pitassi , Richard Zemel

Deep nets generalize well despite having more parameters than the number of training samples. Recent works try to give an explanation using PAC-Bayes and Margin-based analyses, but do not as yet result in sample complexity bounds better…

Machine Learning · Computer Science 2018-11-28 Sanjeev Arora , Rong Ge , Behnam Neyshabur , Yi Zhang

In the present era of deep learning, continual learning research is mainly focused on mitigating forgetting when training a neural network with stochastic gradient descent on a non-stationary stream of data. On the other hand, in the more…

Machine Learning · Computer Science 2024-05-30 Soochan Lee , Hyeonseong Jeon , Jaehyeon Son , Gunhee Kim

Meta learning has attracted much attention recently in machine learning community. Contrary to conventional machine learning aiming to learn inherent prediction rules to predict labels for new query data, meta learning aims to learn the…

Machine Learning · Computer Science 2023-07-04 Jun Shu , Deyu Meng , Zongben Xu

We discuss necessary conditions for a PAC-Bayes bound to provide a meaningful generalisation guarantee. Our analysis reveals that the optimal generalisation guarantee depends solely on the distribution of the risk induced by the prior…

Machine Learning · Statistics 2025-03-12 Antoine Picard-Weibel , Eugenio Clerico , Roman Moscoviz , Benjamin Guedj

Memory-based meta-learning is a powerful technique to build agents that adapt fast to any task within a target distribution. A previous theoretical study has argued that this remarkable performance is because the meta-training protocol…

Artificial Intelligence · Computer Science 2020-10-23 Vladimir Mikulik , Grégoire Delétang , Tom McGrath , Tim Genewein , Miljan Martic , Shane Legg , Pedro A. Ortega

Uncertainty quantification is essential in safety-critical settings--from autonomous driving to aviation, finance, and health--where decisions must rely on conservative bounds rather than point estimates. Predictor-level intervals (e.g.,…

Machine Learning · Computer Science 2026-05-18 Ruirui Liu , Xuejie Hou , Yiping Jiang , Hui Ren

A problem of bounding the generalization error of a classifier f in H, where H is a "base" class of functions (classifiers), is considered. This problem frequently occurs in computer learning, where efficient algorithms of combining simple…

Probability · Mathematics 2007-06-13 Vladimir Koltchinskii , Dmitry Panchenko , Fernando Lozano

We present a unified framework for deriving PAC-Bayesian generalization bounds. Unlike most previous literature on this topic, our bounds are anytime-valid (i.e., time-uniform), meaning that they hold at all stopping times, not only for a…

Machine Learning · Statistics 2024-01-04 Ben Chugg , Hongjian Wang , Aaditya Ramdas

PAC-Bayes is a popular and efficient framework for obtaining generalization guarantees in situations involving uncountable hypothesis spaces. Unfortunately, in its classical formulation, it only provides guarantees on the expected risk of a…

Machine Learning · Computer Science 2025-10-30 Benjamin Leblanc , Pascal Germain

We study transformers' generalization behavior on boolean domains from the perspective of the Fourier spectra of their target functions. In contrast to prior work (Edelman et al., 2022; Trauger & Tosh, 2024), which derived generalization…

Machine Learning · Computer Science 2026-05-27 Paul Lintilhac , Sair Shaikh

In Generalised Bayesian Inference (GBI), the learning rate and hyperparameters of the loss must be estimated. These inference-hyperparameters can't be estimated jointly with the other parameters, from the data, by giving them a prior.…

Methodology · Statistics 2026-05-18 Jeong Eun Lee , Sitong Liu , Geoff K. Nicholls
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