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The training of neural networks is usually monitored with a validation (holdout) set to estimate the generalization of the model. This is done instead of measuring intrinsic properties of the model to determine whether it is learning…

Many researchers implicitly assume that neural networks learn relations and generalise them to new unseen data. It has been shown recently, however, that the generalisation of feed-forward networks fails for identity relations.The proposed…

机器学习 · 计算机科学 2020-07-07 Radha Kopparti , Tillman Weyde

We introduce a new notion of generalization -- Distributional Generalization -- which roughly states that outputs of a classifier at train and test time are close *as distributions*, as opposed to close in just their average error. For…

机器学习 · 计算机科学 2020-10-16 Preetum Nakkiran , Yamini Bansal

This paper analyzes the convergence and generalization of training a one-hidden-layer neural network when the input features follow the Gaussian mixture model consisting of a finite number of Gaussian distributions. Assuming the labels are…

机器学习 · 计算机科学 2023-01-30 Hongkang Li , Shuai Zhang , Meng Wang

Neural networks are very powerful learning systems, but they do not readily generalize from one task to the other. This is partly due to the fact that they do not learn in a compositional way, that is, by discovering skills that are shared…

人工智能 · 计算机科学 2018-07-27 Adam Liška , Germán Kruszewski , Marco Baroni

Understanding how feature learning affects generalization is among the foremost goals of modern deep learning theory. Here, we study how the ability to learn representations affects the generalization performance of a simple class of…

机器学习 · 计算机科学 2022-06-17 Jacob A. Zavatone-Veth , William L. Tong , Cengiz Pehlevan

Deep learning models have achieved state-of-the-art performance in many classification tasks. However, most of them cannot provide an interpretation for their classification results. Machine learning models that are interpretable are…

机器学习 · 计算机科学 2021-11-04 Miles Q. Li , Benjamin C. M. Fung , Adel Abusitta

Deep neural networks trained on a wide range of datasets demonstrate impressive transferability. Deep features appear general in that they are applicable to many datasets and tasks. Such property is in prevalent use in real-world…

机器学习 · 计算机科学 2019-09-27 Hong Liu , Mingsheng Long , Jianmin Wang , Michael I. Jordan

It is widely observed that deep learning models with learned parameters generalize well, even with much more model parameters than the number of training samples. We systematically investigate the underlying reasons why deep neural networks…

机器学习 · 计算机科学 2017-11-29 Lei Wu , Zhanxing Zhu , Weinan E

Deep Neural Networks (DNNs) generalize well despite their massive size and capability of memorizing all examples. There is a hypothesis that DNNs start learning from simple patterns and the hypothesis is based on the existence of examples…

计算机视觉与模式识别 · 计算机科学 2022-06-14 Ikki Kishida , Hideki Nakayama

How can we make sense of large-scale recordings of neural activity across learning? Theories of neural network learning with their origins in statistical physics offer a potential answer: for a given task, there are often a small set of…

神经元与认知 · 定量生物学 2025-09-08 Jacob A. Zavatone-Veth , Blake Bordelon , Cengiz Pehlevan

A key challenge facing deep learning is that neural networks are often not robust to shifts in the underlying data distribution. We study this problem from the perspective of the statistical concept of parameter identification.…

机器学习 · 计算机科学 2022-02-18 Kan Xu , Hamsa Bastani , Osbert Bastani

A robust theoretical framework that can describe and predict the generalization ability of deep neural networks (DNNs) in general circumstances remains elusive. Classical attempts have produced complexity metrics that rely heavily on global…

机器学习 · 计算机科学 2020-01-20 Marelie H. Davel , Marthinus W. Theunissen , Arnold M. Pretorius , Etienne Barnard

Deep artificial neural networks have made remarkable progress in different tasks in the field of computer vision. However, the empirical analysis of these models and investigation of their failure cases has received attention recently. In…

计算机视觉与模式识别 · 计算机科学 2016-02-10 Babak Saleh , Ahmed Elgammal , Jacob Feldman

Generative Flow Networks (GFlowNets, GFNs) are a generative framework for learning unnormalized probability mass functions over discrete spaces. Since their inception, GFlowNets have proven to be useful for learning generative models in…

机器学习 · 计算机科学 2025-04-17 Lazar Atanackovic , Emmanuel Bengio

Convolutional Neural Networks (CNNs) are widely used for image classification in a variety of fields, including medical imaging. While most studies deploy cross-entropy as the loss function in such tasks, a growing number of approaches have…

The generalization error of deep neural networks via their classification margin is studied in this work. Our approach is based on the Jacobian matrix of a deep neural network and can be applied to networks with arbitrary non-linearities…

机器学习 · 统计学 2017-07-04 Jure Sokolic , Raja Giryes , Guillermo Sapiro , Miguel R. D. Rodrigues

Machine learning models trained by different optimization algorithms under different data distributions can exhibit distinct generalization behaviors. In this paper, we analyze the generalization of models trained by noisy iterative…

机器学习 · 统计学 2022-12-29 Hao Wang , Rui Gao , Flavio P. Calmon

In comparison to classical shallow representation learning techniques, deep neural networks have achieved superior performance in nearly every application benchmark. But despite their clear empirical advantages, it is still not well…

机器学习 · 计算机科学 2022-01-11 Calvin Murdock , George Cazenavette , Simon Lucey

Deep Neural Networks can generalize despite being significantly overparametrized. Recent research has tried to examine this phenomenon from various view points and to provide bounds on the generalization error or measures predictive of the…

机器学习 · 计算机科学 2020-12-07 Parth Natekar , Manik Sharma