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This paper provides data-dependent bounds on the expected error of the Gibbs algorithm in the overparameterized interpolation regime, where low training errors are also obtained for impossible data, such as random labels in classification.…

Machine Learning · Computer Science 2026-02-13 Andreas Maurer , Erfan Mirzaei , Massimiliano Pontil

Despite being able to capture a range of features of the data, high accuracy models trained with supervision tend to make similar predictions. This seemingly implies that high-performing models share similar biases regardless of training…

Machine Learning · Computer Science 2022-04-27 Raphael Gontijo-Lopes , Yann Dauphin , Ekin D. Cubuk

In this paper, we investigate properties and limitations of invariance learned by neural networks from the data compared to the genuine invariance achieved through invariant weight-tying. To do so, we adopt a group theoretical perspective…

Machine Learning · Computer Science 2023-08-09 Artem Moskalev , Anna Sepliarskaia , Erik J. Bekkers , Arnold Smeulders

The purpose of training neural networks is to achieve high generalization performance on unseen inputs. However, when trained on imbalanced datasets, a model's prediction tends to favor majority classes over minority classes, leading to…

Computer Vision and Pattern Recognition · Computer Science 2025-08-27 Hiroaki Aizawa , Yuta Naito , Kohei Fukuda

We prove bounds on the population risk of the maximum margin algorithm for two-class linear classification. For linearly separable training data, the maximum margin algorithm has been shown in previous work to be equivalent to a limit of…

Machine Learning · Statistics 2021-06-03 Niladri S. Chatterji , Philip M. Long

We investigate the expressive power of deep residual neural networks idealized as continuous dynamical systems through control theory. Specifically, we consider two properties that arise from supervised learning, namely universal…

Machine Learning · Computer Science 2023-09-13 Jingpu Cheng , Qianxiao Li , Ting Lin , Zuowei Shen

We propose a novel regularization algorithm to train deep neural networks, in which data at training time is severely biased. Since a neural network efficiently learns data distribution, a network is likely to learn the bias information to…

Computer Vision and Pattern Recognition · Computer Science 2019-04-16 Byungju Kim , Hyunwoo Kim , Kyungsu Kim , Sungjin Kim , Junmo Kim

High complexity models are notorious in machine learning for overfitting, a phenomenon in which models well represent data but fail to generalize an underlying data generating process. A typical procedure for circumventing overfitting…

Machine Learning · Statistics 2025-03-11 James Schmidt

Despite incredible progress, many neural architectures fail to properly generalize beyond their training distribution. As such, learning to reason in a correct and generalizable way is one of the current fundamental challenges in machine…

Machine Learning · Computer Science 2025-02-10 Niccolò Grillo , Andrea Toccaceli , Joël Mathys , Benjamin Estermann , Stefania Fresca , Roger Wattenhofer

This study is about inducing classifiers using data that is imbalanced, with a minority class being under-represented in relation to the majority classes. The first section of this research focuses on the main characteristics of data that…

Machine Learning · Computer Science 2022-10-25 Shivaditya Shivganesh , Nitin Narayanan N , Pranav Murali , Ajaykumar M

By inferring latent groups in the training data, recent works introduce invariant learning to the case where environment annotations are unavailable. Typically, learning group invariance under a majority/minority split is empirically shown…

Machine Learning · Computer Science 2022-10-19 Yimeng Chen , Ruibin Xiong , Zhiming Ma , Yanyan Lan

Overfitting is one of the most common problems when training deep neural networks on comparatively small datasets. Here, we demonstrate that neural network activation sparsity is a reliable indicator for overfitting which we utilize to…

Machine Learning · Computer Science 2020-02-24 Karim Huesmann , Soeren Klemm , Lars Linsen , Benjamin Risse

Deep reinforcement learning (RL) agents trained in a limited set of environments tend to suffer overfitting and fail to generalize to unseen testing environments. To improve their generalizability, data augmentation approaches (e.g. cutout…

Machine Learning · Computer Science 2020-10-22 Kaixin Wang , Bingyi Kang , Jie Shao , Jiashi Feng

We consider an underdetermined noisy linear regression model where the minimum-norm interpolating predictor is known to be consistent, and ask: can uniform convergence in a norm ball, or at least (following Nagarajan and Kolter) the subset…

Machine Learning · Statistics 2021-01-15 Lijia Zhou , Danica J. Sutherland , Nathan Srebro

Human perception of the empirical world involves recognizing the diverse appearances, or 'modalities', of underlying objects. Despite the longstanding consideration of this perspective in philosophy and cognitive science, the study of…

Machine Learning · Computer Science 2023-12-19 Zhou Lu

We propose to study the generalization error of a learned predictor $\hat h$ in terms of that of a surrogate (potentially randomized) predictor that is coupled to $\hat h$ and designed to trade empirical risk for control of generalization…

Machine Learning · Computer Science 2021-09-13 Jeffrey Negrea , Gintare Karolina Dziugaite , Daniel M. Roy

A well-trained Convolutional Neural Network can easily be pruned without significant loss of performance. This is because of unnecessary overlap in the features captured by the network's filters. Innovations in network architecture such as…

Computer Vision and Pattern Recognition · Computer Science 2019-02-26 Aaditya Prakash , James Storer , Dinei Florencio , Cha Zhang

Standard imitation learning can fail when the expert demonstrators have different sensory inputs than the imitating agent. This is because partial observability gives rise to hidden confounders in the causal graph. In previous work, to work…

Machine Learning · Computer Science 2024-08-27 Risto Vuorio , Pim de Haan , Johann Brehmer , Hanno Ackermann , Daniel Dijkman , Taco Cohen

Modern machine learning often operates in the regime where the number of parameters is much higher than the number of data points, with zero training loss and yet good generalization, thereby contradicting the classical bias-variance…

Machine Learning · Statistics 2021-02-08 Zhu Li , Weijie Su , Dino Sejdinovic

Overfitting data is a well-known phenomenon related with the generation of a model that mimics too closely (or exactly) a particular instance of data, and may therefore fail to predict future observations reliably. In practice, this…

Machine Learning · Statistics 2023-04-14 Matias Vera , Leonardo Rey Vega , Pablo Piantanida