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Regularization is a well studied problem in the context of neural networks. It is usually used to improve the generalization performance when the number of input samples is relatively small or heavily contaminated with noise. The…

Artificial Intelligence · Computer Science 2011-04-19 Salah Rifai , Xavier Glorot , Yoshua Bengio , Pascal Vincent

Diffusion models have made rapid progress in generating high-quality samples across various domains. However, a theoretical understanding of the Lipschitz continuity and second momentum properties of the diffusion process is still lacking.…

Machine Learning · Computer Science 2024-10-15 Yingyu Liang , Zhenmei Shi , Zhao Song , Yufa Zhou

Understanding the generalization properties of neural networks on simple input-output distributions is key to explaining their performance on real datasets. The classical teacher-student setting, where a network is trained on data generated…

Disordered Systems and Neural Networks · Physics 2026-03-26 Rodrigo Pérez Ortiz , Gibbs Nwemadji , Jean Barbier , Federica Gerace , Alessandro Ingrosso , Clarissa Lauditi , Enrico M. Malatesta

We propose a unified framework for global-local regularization that bridges the gap between classical techniques -- such as ridge regression and the nonnegative garotte -- and modern Bayesian hierarchical modeling. By estimating local…

Methodology · Statistics 2025-12-17 Jyotishka Datta , Nick Polson , Vadim Sokolov

Since their invention, generative adversarial networks (GANs) have become a popular approach for learning to model a distribution of real (unlabeled) data. Convergence problems during training are overcome by Wasserstein GANs which minimize…

Machine Learning · Statistics 2018-03-06 Henning Petzka , Asja Fischer , Denis Lukovnicov

As deep neural networks (DNNs) achieve tremendous success across many application domains, researchers tried to explore in many aspects on why they generalize well. In this paper, we provide a novel perspective on these issues using the…

Machine Learning · Computer Science 2020-02-25 Jinlong Liu , Guoqing Jiang , Yunzhi Bai , Ting Chen , Huayan Wang

In many, if not most, machine learning applications the training data is naturally heterogeneous (e.g. federated learning, adversarial attacks and domain adaptation in neural net training). Data heterogeneity is identified as one of the…

Machine Learning · Statistics 2025-04-30 Harsh Vardhan , Avishek Ghosh , Arya Mazumdar

This work explores the Benevolent Training Hypothesis (BTH) which argues that the complexity of the function a deep neural network (NN) is learning can be deduced by its training dynamics. Our analysis provides evidence for BTH by relating…

Machine Learning · Computer Science 2021-11-01 Andreas Loukas , Marinos Poiitis , Stefanie Jegelka

We propose a method to investigate modular structure in networks based on fitted probabilistic model, where the connection probability between nodes is related to a set of introduced local attributes. The attributes, as parameters of the…

Physics and Society · Physics 2009-07-03 Xiaofeng Gong , C. -H. Lai

We study model evaluation and model selection from the perspective of generalization ability (GA): the ability of a model to predict outcomes in new samples from the same population. We believe that GA is one way formally to address…

Machine Learning · Statistics 2016-10-19 Ning Xu , Jian Hong , Timothy C. G. Fisher

Poor generalization is one symptom of models that learn to predict target variables using spuriously-correlated image features present only in the training distribution instead of the true image features that denote a class. It is often…

Computer Vision and Pattern Recognition · Computer Science 2021-02-11 Joseph D. Viviano , Becks Simpson , Francis Dutil , Yoshua Bengio , Joseph Paul Cohen

This paper proves that robustness implies generalization via data-dependent generalization bounds. As a result, robustness and generalization are shown to be connected closely in a data-dependent manner. Our bounds improve previous bounds…

Machine Learning · Computer Science 2022-08-04 Kenji Kawaguchi , Zhun Deng , Kyle Luh , Jiaoyang Huang

The lottery ticket hypothesis (LTH) has attracted attention because it can explain why over-parameterized models often show high generalization ability. It is known that when we use iterative magnitude pruning (IMP), which is an algorithm…

Machine Learning · Computer Science 2022-09-29 Keitaro Sakamoto , Issei Sato

In this work we study generalization of neural networks in gradient-based meta-learning by analyzing various properties of the objective landscapes. We experimentally demonstrate that as meta-training progresses, the meta-test solutions,…

Machine Learning · Computer Science 2019-07-18 Simon Guiroy , Vikas Verma , Christopher Pal

Generalizing knowledge to unseen domains, where data and labels are unavailable, is crucial for machine learning models. We tackle the domain generalization problem to learn from multiple source domains and generalize to a target domain…

Computer Vision and Pattern Recognition · Computer Science 2022-04-06 Fan Zhou , Zhuqing Jiang , Changjian Shui , Boyu Wang , Brahim Chaib-draa

We present a generalization bound for feedforward neural networks in terms of the product of the spectral norm of the layers and the Frobenius norm of the weights. The generalization bound is derived using a PAC-Bayes analysis.

Machine Learning · Computer Science 2018-02-27 Behnam Neyshabur , Srinadh Bhojanapalli , Nathan Srebro

By leveraging experience from previous tasks, meta-learning algorithms can achieve effective fast adaptation ability when encountering new tasks. However it is unclear how the generalization property applies to new tasks. Probably…

Machine Learning · Computer Science 2021-02-09 Tianyu Liu , Jie Lu , Zheng Yan , Guangquan Zhang

Domain adaptation algorithms are designed to minimize the misclassification risk of a discriminative model for a target domain with little training data by adapting a model from a source domain with a large amount of training data. Standard…

Machine Learning · Statistics 2021-07-27 Werner Zellinger , Bernhard A Moser , Susanne Saminger-Platz

The paper is concerned with inference for a parameter of interest in models that share a common interpretation for that parameter but that may differ appreciably in other respects. We study the general structure of models under which the…

Statistics Theory · Mathematics 2024-08-06 Heather Battey , Nancy Reid

Multiple generalized additive models (GAMs) are a type of distributional regression wherein parameters of probability distributions depend on predictors through smooth functions, with selection of the degree of smoothness via $L_2$…

Machine Learning · Statistics 2018-09-26 Yousra El-Bachir , Anthony C. Davison
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