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The benefits of overparameterization for the overall performance of modern machine learning (ML) models are well known. However, the effect of overparameterization at a more granular level of data subgroups is less understood. Recent…

Machine Learning · Computer Science 2022-06-09 Subha Maity , Saptarshi Roy , Songkai Xue , Mikhail Yurochkin , Yuekai Sun

We study over-parameterized classifiers where Empirical Risk Minimization (ERM) for learning leads to zero training error. In these over-parameterized settings there are many global minima with zero training error, some of which generalize…

Machine Learning · Computer Science 2023-12-05 Julius Martinetz , Thomas Martinetz

We study why overparameterization -- increasing model size well beyond the point of zero training error -- can hurt test error on minority groups despite improving average test error when there are spurious correlations in the data. Through…

Machine Learning · Computer Science 2020-08-28 Shiori Sagawa , Aditi Raghunathan , Pang Wei Koh , Percy Liang

Group imbalance has been a known problem in empirical risk minimization (ERM), where the achieved high average accuracy is accompanied by low accuracy in a minority group. Despite algorithmic efforts to improve the minority group accuracy,…

Machine Learning · Statistics 2024-03-20 Hongkang Li , Shuai Zhang , Yihua Zhang , Meng Wang , Sijia Liu , Pin-Yu Chen

Predictive performance of machine learning models trained with empirical risk minimization (ERM) can degrade considerably under distribution shifts. The presence of spurious correlations in training datasets leads ERM-trained models to…

Machine Learning · Computer Science 2023-02-08 Simon Roburin , Charles Corbière , Gilles Puy , Nicolas Thome , Matthieu Aubry , Renaud Marlet , Patrick Pérez

A common strategy to train deep neural networks (DNNs) is to use very large architectures and to train them until they (almost) achieve zero training error. Empirically observed good generalization performance on test data, even in the…

Machine Learning · Statistics 2021-07-26 Nicole Mücke , Ingo Steinwart

Empirical risk minimization (ERM) is sensitive to spurious correlations in the training data, which poses a significant risk when deploying systems trained under this paradigm in high-stake applications. While the existing literature…

Machine Learning · Computer Science 2023-10-31 Christos Tsirigotis , Joao Monteiro , Pau Rodriguez , David Vazquez , Aaron Courville

Training large language models (LLMs) from scratch is an expensive endeavor, particularly as world knowledge continually evolves. To maintain relevance and accuracy of LLMs, model editing has emerged as a pivotal research area. While these…

Computation and Language · Computer Science 2024-09-30 Tsung-Hsuan Pan , Chung-Chi Chen , Hen-Hsen Huang , Hsin-Hsi Chen

Given a fixed budget for total model size, one must choose between training a single large model or combining the predictions of multiple smaller models. We investigate this trade-off for ensembles of random-feature ridge regression models…

Machine Learning · Computer Science 2025-10-28 Benjamin S. Ruben , William L. Tong , Hamza Tahir Chaudhry , Cengiz Pehlevan

Empirical risk minimization (ERM) is known in practice to be non-robust to distributional shift where the training and the test distributions are different. A suite of approaches, such as importance weighting, and variants of…

Machine Learning · Computer Science 2023-02-08 Runtian Zhai , Chen Dan , Zico Kolter , Pradeep Ravikumar

We investigate the learning dynamics of classifiers in scenarios where classes are separable or classifiers are over-parameterized. In both cases, Empirical Risk Minimization (ERM) results in zero training error. However, there are many…

Machine Learning · Computer Science 2024-10-23 Julius Martinetz , Christoph Linse , Thomas Martinetz

Practitioners frequently observe that pruning improves model generalization. A long-standing hypothesis based on bias-variance trade-off attributes this generalization improvement to model size reduction. However, recent studies on…

Machine Learning · Computer Science 2022-10-26 Tian Jin , Michael Carbin , Daniel M. Roy , Jonathan Frankle , Gintare Karolina Dziugaite

Machine learning models have exhibited exceptional results in various domains. The most prevalent approach for learning is the empirical risk minimizer (ERM), which adapts the model's weights to reduce the loss on a training set and…

Machine Learning · Computer Science 2024-12-11 Koby Bibas

Highly overparametrized neural networks can display curiously strong generalization performance - a phenomenon that has recently garnered a wealth of theoretical and empirical research in order to better understand it. In contrast to most…

Machine Learning · Computer Science 2020-09-29 Jorg Bornschein , Francesco Visin , Simon Osindero

In this paper, we study the generalization performance of global minima for implementing empirical risk minimization (ERM) on over-parameterized deep ReLU nets. Using a novel deepening scheme for deep ReLU nets, we rigorously prove that…

Machine Learning · Computer Science 2023-03-01 Shao-Bo Lin , Yao Wang , Ding-Xuan Zhou

We study the minimal error of the Empirical Risk Minimization (ERM) procedure in the task of regression, both in the random and the fixed design settings. Our sharp lower bounds shed light on the possibility (or impossibility) of adapting…

Statistics Theory · Mathematics 2021-02-25 Gil Kur , Alexander Rakhlin

The infrequent occurrence of overfit in deep neural networks is perplexing. On the one hand, theory predicts that as models get larger they should eventually become too specialized for a specific training set, with ensuing decrease in…

Machine Learning · Computer Science 2023-12-29 Uri Stern , Daphna Weinshall

Given a collection of feature maps indexed by a set $\mathcal{T}$, we study the performance of empirical risk minimization (ERM) on regression problems with square loss over the union of the linear classes induced by these feature maps.…

Machine Learning · Statistics 2024-11-20 Ayoub El Hanchi , Chris J. Maddison , Murat A. Erdogdu

To reduce the inference cost of large language models, model compression is increasingly used to create smaller scalable models. However, little is known about their robustness to minority subgroups defined by the labels and attributes of a…

Machine Learning · Computer Science 2024-03-27 Leonidas Gee , Andrea Zugarini , Novi Quadrianto

Standard training via empirical risk minimization (ERM) can produce models that achieve high accuracy on average but low accuracy on certain groups, especially in the presence of spurious correlations between the input and label. Prior…

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