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Group equivariant convolutional neural networks (G-CNNs) are generalizations of convolutional neural networks (CNNs) which excel in a wide range of technical applications by explicitly encoding symmetries, such as rotations and…

Machine Learning · Computer Science 2022-09-14 Hannah Lawrence , Kristian Georgiev , Andrew Dienes , Bobak T. Kiani

Algorithm unfolding or unrolling is the technique of constructing a deep neural network (DNN) from an iterative algorithm. Unrolled DNNs often provide better interpretability and superior empirical performance over standard DNNs in signal…

Machine Learning · Statistics 2024-02-21 Carter Lyons , Raghu G. Raj , Margaret Cheney

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…

Sound · Computer Science 2020-08-11 Ashutosh Pandey , DeLiang Wang

Binary neural networks (BNNs) are an attractive solution for developing and deploying deep neural network (DNN)-based applications in resource constrained devices. Despite their success, BNNs still suffer from a fixed and limited…

Machine Learning · Computer Science 2023-06-26 Riccardo Schiavone , Francesco Galati , Maria A. Zuluaga

Deep neural networks exhibit a simplicity bias, a well-documented tendency to favor simple functions over complex ones. In this work, we cast new light on this phenomenon through the lens of the Minimum Description Length principle,…

When developing deep learning models, we usually decide what task we want to solve then search for a model that generalizes well on the task. An intriguing question would be: what if, instead of fixing the task and searching in the model…

Machine Learning · Computer Science 2022-12-02 Andrei Atanov , Andrei Filatov , Teresa Yeo , Ajay Sohmshetty , Amir Zamir

That shared features between train and test data are required for generalisation in artificial neural networks has been a common assumption of both proponents and critics of these models. Here, we show that convolutional architectures avoid…

Neural and Evolutionary Computing · Computer Science 2021-07-15 Jeff Mitchell , Jeffrey S. Bowers

Artificial neural networks (ANNs) have become a very powerful tool in the approximation of high-dimensional functions. Especially, deep ANNs, consisting of a large number of hidden layers, have been very successfully used in a series of…

Numerical Analysis · Mathematics 2021-03-09 Philipp Grohs , Shokhrukh Ibragimov , Arnulf Jentzen , Sarah Koppensteiner

Modern deep learning models employ considerably more parameters than required to fit the training data. Whereas conventional statistical wisdom suggests such models should drastically overfit, in practice these models generalize remarkably…

Machine Learning · Statistics 2020-08-18 Ben Adlam , Jeffrey Pennington

Machine unlearning is the task of updating a trained model to forget specific training data without retraining from scratch. In this paper, we investigate how unlearning of deep neural networks (DNNs) is affected by the model…

Machine Learning · Computer Science 2026-05-20 Gal Alon , Yehuda Dar

We propose a novel class of neural network-like parametrized functions, i.e., general transformation neural networks (GTNNs), for high-dimensional approximation. Conventional deep neural networks sometimes perform less accurately on…

Numerical Analysis · Mathematics 2026-02-25 Xiaoyang Wang , Yiqi Gu

Convolutional Neural Networks (CNNs) show impressive performance in the standard classification setting where training and testing data are drawn i.i.d. from a given domain. However, CNNs do not readily generalize to new domains with…

Computer Vision and Pattern Recognition · Computer Science 2020-07-13 Nathan Somavarapu , Chih-Yao Ma , Zsolt Kira

Simplicity bias is the concerning tendency of deep networks to over-depend on simple, weakly predictive features, to the exclusion of stronger, more complex features. This is exacerbated in real-world applications by limited training data…

Machine Learning · Computer Science 2023-06-07 Rishabh Tiwari , Pradeep Shenoy

Current deep neural networks suffer from two problems; first, they are hard to interpret, and second, they suffer from overfitting. There have been many attempts to define interpretability in neural networks, but they typically lack…

Machine Learning · Computer Science 2019-08-15 Sean Tao

A machine learning (ML) system must learn not only to match the output of a target function on a training set, but also to generalize to novel situations in order to yield accurate predictions at deployment. In most practical applications,…

Machine Learning · Computer Science 2022-12-13 Clare Lyle

Background: Deep learning models are typically trained using stochastic gradient descent or one of its variants. These methods update the weights using their gradient, estimated from a small fraction of the training data. It has been…

Machine Learning · Statistics 2018-01-03 Elad Hoffer , Itay Hubara , Daniel Soudry

Generalization is the key capability for deep neural networks (DNNs). However, it is challenging to give a reliable measure of the generalization ability of a DNN via only its nature. In this paper, we propose a novel method for estimating…

Computer Vision and Pattern Recognition · Computer Science 2023-11-21 Yang Zhao , Hao Zhang

Deep Convolutional Neural Networks (DCNNs) are hard and time-consuming to train. Normalization is one of the effective solutions. Among previous normalization methods, Batch Normalization (BN) performs well at medium and large batch sizes…

Machine Learning · Computer Science 2020-12-10 Xiao-Yun Zhou , Jiacheng Sun , Nanyang Ye , Xu Lan , Qijun Luo , Bo-Lin Lai , Pedro Esperanca , Guang-Zhong Yang , Zhenguo Li

The accuracy of deep learning, i.e., deep neural networks, can be characterized by dividing the total error into three main types: approximation error, optimization error, and generalization error. Whereas there are some satisfactory…

Machine Learning · Statistics 2021-11-03 Pengzhan Jin , Lu Lu , Yifa Tang , George Em Karniadakis

Graph neural networks have demonstrated excellent applicability to a wide range of domains, including social networks, biological systems, recommendation systems, and wireless communications. Yet a principled theoretical understanding of…

Machine Learning · Computer Science 2026-04-14 Xinping Yi
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