English
Related papers

Related papers: Benign Overfitting in Classification: Provably Cou…

200 papers

Transfer learning is a critical part of real-world machine learning deployments and has been extensively studied in experimental works with overparameterized neural networks. However, even in the simplest setting of linear regression a…

Machine Learning · Computer Science 2024-08-28 Neil Mallinar , Austin Zane , Spencer Frei , Bin Yu

The literature on "benign overfitting" in overparameterized models has been mostly restricted to regression or binary classification; however, modern machine learning operates in the multiclass setting. Motivated by this discrepancy, we…

Machine Learning · Statistics 2023-07-13 Ke Wang , Vidya Muthukumar , Christos Thrampoulidis

Despite the empirical advances of deep learning across a variety of learning tasks, our theoretical understanding of its success is still very restricted. One of the key challenges is the overparametrized nature of modern models, enabling…

Machine Learning · Computer Science 2023-02-24 Sotiris Anagnostidis , Gregor Bachmann , Lorenzo Noci , Thomas Hofmann

The problem of benign overfitting asks whether it is possible for a model to perfectly fit noisy training data and still generalize well. We study benign overfitting in two-layer leaky ReLU networks trained with the hinge loss on a binary…

Machine Learning · Computer Science 2024-10-04 Kedar Karhadkar , Erin George , Michael Murray , Guido Montúfar , Deanna Needell

Overparameterized neural networks (NNs) are observed to generalize well even when trained to perfectly fit noisy data. This phenomenon motivated a large body of work on "benign overfitting", where interpolating predictors achieve…

Machine Learning · Computer Science 2024-03-22 Guy Kornowski , Gilad Yehudai , Ohad Shamir

Modern machine learning systems such as deep neural networks are often highly over-parameterized so that they can fit the noisy training data exactly, yet they can still achieve small test errors in practice. In this paper, we study this…

Machine Learning · Computer Science 2022-01-04 Yuan Cao , Quanquan Gu , Mikhail Belkin

Benign overfitting refers to the phenomenon where an over-parameterized model fits the training data perfectly, including noise in the data, but still generalizes well to the unseen test data. While prior work provides some theoretical…

Machine Learning · Computer Science 2024-12-20 Shange Tang , Jiayun Wu , Jianqing Fan , Chi Jin

The widespread success of deep neural networks has revealed a surprise in classical machine learning: very complex models often generalize well while simultaneously overfitting training data. This phenomenon of benign overfitting has been…

Quantum Physics · Physics 2023-12-20 Evan Peters , Maria Schuld

Although numerous methods to reduce the overfitting of convolutional neural networks (CNNs) exist, it is still not clear how to confidently measure the degree of overfitting. A metric reflecting the overfitting level might be, however,…

Machine Learning · Computer Science 2022-09-28 Svetlana Pavlitskaya , Joël Oswald , J. Marius Zöllner

Recent empirical and theoretical studies have established the generalization capabilities of large machine learning models that are trained to (approximately or exactly) fit noisy data. In this work, we prove a surprising result that even…

Machine Learning · Computer Science 2024-01-26 Yifan Hao , Tong Zhang

Label Shift has been widely believed to be harmful to the generalization performance of machine learning models. Researchers have proposed many approaches to mitigate the impact of the label shift, e.g., balancing the training data.…

Machine Learning · Computer Science 2022-12-09 Jiahui Cheng , Minshuo Chen , Hao Liu , Tuo Zhao , Wenjing Liao

The success of over-parameterized neural networks trained to near-zero training error has caused great interest in the phenomenon of benign overfitting, where estimators are statistically consistent even though they interpolate noisy…

Machine Learning · Statistics 2024-11-07 Moritz Haas , David Holzmüller , Ulrike von Luxburg , Ingo Steinwart

Benign overfitting refers to how over-parameterized neural networks can fit training data perfectly and generalize well to unseen data. While this has been widely investigated theoretically, existing works are limited to two-layer networks…

Machine Learning · Computer Science 2024-10-28 Shuning Shang , Xuran Meng , Yuan Cao , Difan Zou

Modern deep neural networks are highly over-parameterized compared to the data on which they are trained, yet they often generalize remarkably well. A flurry of recent work has asked: why do deep networks not overfit to their training data?…

Machine Learning · Computer Science 2023-03-24 Minyoung Huh , Hossein Mobahi , Richard Zhang , Brian Cheung , Pulkit Agrawal , Phillip Isola

Overfitting is a phenomenon that occurs when a machine learning model is trained for too long and focused too much on the exact fitness of the training samples to the provided training labels and cannot keep track of the predictive rules…

Machine Learning · Computer Science 2025-09-22 Nuri Korhan , Samet Bayram

Deep neural networks (DNNs) trained on large-scale datasets have exhibited significant performance in image classification. Many large-scale datasets are collected from websites, however they tend to contain inaccurate labels that are…

Computer Vision and Pattern Recognition · Computer Science 2019-04-23 Daiki Tanaka , Daiki Ikami , Toshihiko Yamasaki , Kiyoharu Aizawa

The remarkable practical success of deep learning has revealed some major surprises from a theoretical perspective. In particular, simple gradient methods easily find near-optimal solutions to non-convex optimization problems, and despite…

Statistics Theory · Mathematics 2021-03-17 Peter L. Bartlett , Andrea Montanari , Alexander Rakhlin

In deep learning, often the training process finds an interpolator (a solution with 0 training loss), but the test loss is still low. This phenomenon, known as benign overfitting, is a major mystery that received a lot of recent attention.…

Machine Learning · Computer Science 2023-05-29 Mo Zhou , Rong Ge

``Benign overfitting'', the ability of certain algorithms to interpolate noisy training data and yet perform well out-of-sample, has been a topic of considerable recent interest. We show, using a fixed design setup, that an important class…

Machine Learning · Computer Science 2023-04-14 Daniel Beaglehole , Mikhail Belkin , Parthe Pandit

Semi-supervised learning, i.e. jointly learning from labeled and unlabeled samples, is an active research topic due to its key role on relaxing human supervision. In the context of image classification, recent advances to learn from…

Computer Vision and Pattern Recognition · Computer Science 2020-06-30 Eric Arazo , Diego Ortego , Paul Albert , Noel E. O'Connor , Kevin McGuinness