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We describe an approach to understand the peculiar and counterintuitive generalization properties of deep neural networks. The approach involves going beyond worst-case theoretical capacity control frameworks that have been popular in…

机器学习 · 计算机科学 2019-02-19 Charles H. Martin , Michael W. Mahoney

Graph neural networks (GNNs) are the most widely adopted model in graph-structured data oriented learning and representation. Despite their extraordinary success in real-world applications, understanding their working mechanism by theory is…

机器学习 · 计算机科学 2023-05-16 Huayi Tang , Yong Liu

Domain generalization (DG) aims at generalizing a classifier trained on multiple source domains to an unseen target domain with domain shift. A common pervasive theme in existing DG literature is domain-invariant representation learning…

机器学习 · 计算机科学 2022-10-31 Yujie Jin , Xu Chu , Yasha Wang , Wenwu Zhu

Denoising Probabilistic Models (DPMs) represent an emerging domain of generative models that excel in generating diverse and high-quality images. However, most current training methods for DPMs often neglect the correlation between…

计算机视觉与模式识别 · 计算机科学 2024-02-01 Viet Nguyen , Giang Vu , Tung Nguyen Thanh , Khoat Than , Toan Tran

Our understanding of the generalization capabilities of neural networks (NNs) is still incomplete. Prevailing explanations are based on implicit biases of gradient descent (GD) but they cannot account for the capabilities of models from…

机器学习 · 计算机科学 2025-05-01 Damien Teney , Armand Nicolicioiu , Valentin Hartmann , Ehsan Abbasnejad

The generalization of machine learning models has a complex dependence on the data, model and learning algorithm. We study train and test performance, as well as the generalization gap given by the mean of their difference over different…

机器学习 · 统计学 2022-06-29 Carlos A. Gomez-Uribe

Generalization is a central aspect of learning theory. Here, we propose a framework that explores an auxiliary task-dependent notion of generalization, and attempts to quantitatively answer the following question: given two sets of patterns…

无序系统与神经网络 · 物理学 2020-01-08 Francesco Borra , Marco Cosentino Lagomarsino , Pietro Rotondo , Marco Gherardi

Conventional DNN training paradigms typically rely on one training set and one validation set, obtained by partitioning an annotated dataset used for training, namely gross training set, in a certain way. The training set is used for…

神经与进化计算 · 计算机科学 2020-07-03 Boyu Zhang , A. K. Qin , Hong Pan , Timos Sellis

Supervised deep learning involves the training of neural networks with a large number $N$ of parameters. For large enough $N$, in the so-called over-parametrized regime, one can essentially fit the training data points. Sparsity-based…

Meta-learning aims to train models that can generalize to new tasks with limited labeled data by extracting shared features across diverse task datasets. Additionally, it accounts for prediction uncertainty during both training and…

机器学习 · 计算机科学 2025-03-03 Hyungi Lee , Chaeyun Jang , Dongbok Lee , Juho Lee

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

Generalization is at the core of machine learning models. However, the definition of generalization is not entirely clear. We employ set theory to introduce the concepts of algorithms, hypotheses, and dataset generalization. We analyze the…

机器学习 · 计算机科学 2023-11-14 Shiqi Liu

In recent years, supervised approaches using deep neural networks (DNNs) have become the mainstream for speech enhancement. It has been established that DNNs generalize well to untrained noises and speakers if trained using a large number…

声音 · 计算机科学 2020-08-11 Ashutosh Pandey , DeLiang Wang

We address the fundamental question of why deep neural networks generalize by establishing a pointwise generalization theory for fully connected networks. This framework resolves long-standing barriers to characterizing the rich nonlinear…

机器学习 · 计算机科学 2026-05-19 Shaojie Li , Yunbei Xu

The vulnerability to slight input perturbations is a worrying yet intriguing property of deep neural networks (DNNs). Despite many previous works studying the reason behind such adversarial behavior, the relationship between the…

机器学习 · 统计学 2019-06-07 Yujun Shi , Benben Liao , Guangyong Chen , Yun Liu , Ming-Ming Cheng , Jiashi Feng

Modern deep neural networks (DNNs) represent a formidable challenge for theorists: according to the commonly accepted probabilistic framework that describes their performance, these architectures should overfit due to the huge number of…

无序系统与神经网络 · 物理学 2022-03-03 S. Ariosto , R. Pacelli , F. Ginelli , M. Gherardi , P. Rotondo

Understanding generalization in deep learning is arguably one of the most important questions in deep learning. Deep learning has been successfully adopted to a large number of problems ranging from pattern recognition to complex decision…

To deploy and operate deep neural models in production, the quality of their predictions, which might be contaminated benignly or manipulated maliciously by input distributional deviations, must be monitored and assessed. Specifically, we…

计算机视觉与模式识别 · 计算机科学 2023-06-09 Guy Bar-Shalom , Yonatan Geifman , Ran El-Yaniv

While deep neural networks (DNN) have become an effective computational tool, the prediction results are often criticized by the lack of interpretability, which is essential in many real-world applications such as health informatics.…

计算机视觉与模式识别 · 计算机科学 2018-05-29 Mengnan Du , Ninghao Liu , Qingquan Song , Xia Hu

Neural networks appear to have mysterious generalization properties when using parameter counting as a proxy for complexity. Indeed, neural networks often have many more parameters than there are data points, yet still provide good…

机器学习 · 计算机科学 2020-05-26 Wesley J. Maddox , Gregory Benton , Andrew Gordon Wilson