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A fundamental problem in machine learning is understanding the effect of early stopping on the parameters obtained and the generalization capabilities of the model. Even for linear models, the effect is not fully understood for arbitrary…

Machine Learning · Computer Science 2024-06-10 Rishi Sonthalia , Jackie Lok , Elizaveta Rebrova

In machine learning practice, early stopping has been widely used to regularize models and can save computational costs by halting the training process when the model's performance on a validation set stops improving. However, conventional…

Machine Learning · Computer Science 2025-02-12 Suqin Yuan , Runqi Lin , Lei Feng , Bo Han , Tongliang Liu

Machine learning models are often learned by minimising a loss function on the training data using a gradient descent algorithm. These models often suffer from overfitting, leading to a decline in predictive performance on unseen data. A…

Early stopping of iterative algorithms is a widely-used form of regularization in statistics, commonly used in conjunction with boosting and related gradient-type algorithms. Although consistency results have been established in some…

Machine Learning · Statistics 2018-03-15 Yuting Wei , Fanny Yang , Martin J. Wainwright

In this paper, we propose an adaptive stopping rule for kernel-based gradient descent (KGD) algorithms. We introduce the empirical effective dimension to quantify the increments of iterations in KGD and derive an implementable early…

Machine Learning · Computer Science 2023-06-14 Xiangyu Chang , Shao-Bo Lin

In wide neural networks, the Neural Tangent Kernel (NTK) remains approximately constant during training, providing a powerful theoretical tool for studying training dynamics, generalization, and connections to kernel methods. However, this…

Machine Learning · Computer Science 2026-05-26 Jonathan Plenk , Sergio Calvo-Ordonez , Alvaro Cartea , Yarin Gal , Mark van der Wilk , Kamil Ciosek

Neural networks can be compressed to reduce memory and computational requirements, or to increase accuracy by facilitating the use of a larger base architecture. In this paper we focus on pruning individual neurons, which can simultaneously…

Computer Vision and Pattern Recognition · Computer Science 2018-04-20 Bin Dai , Chen Zhu , David Wipf

Time-sensitive machine learning benefits from Sequential Probability Ratio Test (SPRT), which provides an optimal stopping time for early classification of time series. However, in finite horizon scenarios, where input lengths are finite,…

Machine Learning · Computer Science 2025-01-31 Akinori F. Ebihara , Taiki Miyagawa , Kazuyuki Sakurai , Hitoshi Imaoka

In machine learning, there is renewed interest in neural network ensembles (NNEs), whereby predictions are obtained as an aggregate from a diverse set of smaller models, rather than from a single larger model. Here, we show how to define…

Statistical Mechanics · Physics 2023-05-11 Jamie F. Mair , Dominic C. Rose , Juan P. Garrahan

Early time classification algorithms aim to label a stream of features without processing the full input stream, while maintaining accuracy comparable to that achieved by applying the classifier to the entire input. In this paper, we…

Machine Learning · Computer Science 2024-02-02 Liran Ringel , Regev Cohen , Daniel Freedman , Michael Elad , Yaniv Romano

This work, based on Random Matrix Theory (RMT), introduces a novel early-stopping strategy for Transformer training dynamics. Utilizing the Power Law (PL) fit to tansformer attention matrices as a probe, we demarcate training into three…

Machine Learning · Computer Science 2025-12-30 Jing He , Hua Jiang , Cheng Li , Siqian Xin , Shuzhen Yang

This paper presents the benefits of using randomized neural networks instead of standard basis functions or deep neural networks to approximate the solutions of optimal stopping problems. The key idea is to use neural networks, where the…

Machine Learning · Statistics 2023-12-04 Calypso Herrera , Florian Krach , Pierre Ruyssen , Josef Teichmann

State-of-the-art neural networks are heavily over-parameterized, making the optimization algorithm a crucial ingredient for learning predictive models with good generalization properties. A recent line of work has shown that in a certain…

Machine Learning · Statistics 2019-11-01 Alberto Bietti , Julien Mairal

We show that unconverged stochastic gradient descent can be interpreted as a procedure that samples from a nonparametric variational approximate posterior distribution. This distribution is implicitly defined as the transformation of an…

Machine Learning · Statistics 2015-04-07 Dougal Maclaurin , David Duvenaud , Ryan P. Adams

Most clinical prediction studies are developed from retrospective cohorts and reported as if all patient information were observed at once. In practice, clinicians face a more consequential question: \emph{when is there already enough…

Methodology · Statistics 2026-04-27 Hui-Mean Foo , Yuan-chin Ivan Chang

In many real-world deployments of machine learning systems, data arrive piecemeal. These learning scenarios may be passive, where data arrive incrementally due to structural properties of the problem (e.g., daily financial data) or active,…

Machine Learning · Computer Science 2021-01-01 Jordan T. Ash , Ryan P. Adams

The Neural Tangent Kernel (NTK) characterizes the behavior of infinitely wide neural nets trained under least squares loss by gradient descent. However, despite its importance, the super-quadratic runtime of kernel methods limits the use of…

Machine Learning · Computer Science 2021-07-28 Amir Zandieh

Active learning has shown to reduce the number of experiments needed to obtain high-confidence drug-target predictions. However, in order to actually save experiments using active learning, it is crucial to have a method to evaluate the…

Quantitative Methods · Quantitative Biology 2015-04-10 Maja Temerinac-Ott , Armaghan W. Naik , Robert F. Murphy

Spiking neural networks (SNNs) are recurrent models that can leverage sparsity in input time series to efficiently carry out tasks such as classification. Additional efficiency gains can be obtained if decisions are taken as early as…

Neural and Evolutionary Computing · Computer Science 2023-12-19 Jiechen Chen , Sangwoo Park , Osvaldo Simeone

Convolutional Neural Networks (CNNs) have demonstrated superiority in learning patterns, but are sensitive to label noises and may overfit noisy labels during training. The early stopping strategy averts updating CNNs during the early…

Computer Vision and Pattern Recognition · Computer Science 2022-12-08 Huaxi Huang , Hui Kang , Sheng Liu , Olivier Salvado , Thierry Rakotoarivelo , Dadong Wang , Tongliang Liu