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With the increasing amount of available data and advances in computing capabilities, deep neural networks (DNNs) have been successfully employed to solve challenging tasks in various areas, including healthcare, climate, and finance.…

Machine Learning · Computer Science 2023-01-12 Marcele O. K. Mendonça , Javier Maroto , Pascal Frossard , Paulo S. R. Diniz

This work provides a computable, direct, and mathematically rigorous approximation to the differential geometry of class manifolds for high-dimensional data, along with nonlinear projections from input space onto these class manifolds. The…

Machine Learning · Computer Science 2023-08-24 Aaron Mahler , Tyrus Berry , Tom Stephens , Harbir Antil , Michael Merritt , Jeanie Schreiber , Ioannis Kevrekidis

In this paper, we first present an explanation regarding the common occurrence of spikes in the training loss when neural networks are trained with stochastic gradient descent (SGD). We provide evidence that the spikes in the training loss…

Machine Learning · Computer Science 2024-06-07 Libin Zhu , Chaoyue Liu , Adityanarayanan Radhakrishnan , Mikhail Belkin

By injecting adversarial examples into training data, adversarial training is promising for improving the robustness of deep learning models. However, most existing adversarial training approaches are based on a specific type of adversarial…

Machine Learning · Computer Science 2019-03-18 Chuanbiao Song , Kun He , Liwei Wang , John E. Hopcroft

Recent data-privacy laws have sparked interest in machine unlearning, which involves removing the effect of specific training samples from a learnt model as if they were never present in the original training dataset. The challenge of…

Machine Learning · Computer Science 2023-12-08 Tuan Hoang , Santu Rana , Sunil Gupta , Svetha Venkatesh

Few-shot Learning (FSL) methods are being adopted in settings where data is not abundantly available. This is especially seen in medical domains where the annotations are expensive to obtain. Deep Neural Networks have been shown to be…

Computer Vision and Pattern Recognition · Computer Science 2022-10-10 Prashant Pandey , Aleti Vardhan , Mustafa Chasmai , Tanuj Sur , Brejesh Lall

Stochastic gradient descent (SGD) is one of the most popular algorithms in modern machine learning. The noise encountered in these applications is different from that in many theoretical analyses of stochastic gradient algorithms. In this…

Machine Learning · Statistics 2021-09-16 Stephan Wojtowytsch

Low-latency deep spiking neural networks (SNNs) have become a promising alternative to conventional artificial neural networks (ANNs) because of their potential for increased energy efficiency on event-driven neuromorphic hardware. Neural…

Computer Vision and Pattern Recognition · Computer Science 2021-10-25 Souvik Kundu , Massoud Pedram , Peter A. Beerel

Stochastic Gradient Descent (SGD) is the workhorse algorithm of deep learning technology. At each step of the training phase, a mini batch of samples is drawn from the training dataset and the weights of the neural network are adjusted…

Disordered Systems and Neural Networks · Physics 2022-09-07 Francesca Mignacco , Pierfrancesco Urbani

Graph neural networks (GNNs) are widely used for learning from graph-structured data in domains such as social networks, recommender systems, and financial platforms. To comply with privacy regulations like the GDPR, CCPA, and PIPEDA,…

Machine Learning · Computer Science 2026-03-20 Jiahao Zhang , Yilong Wang , Suhang Wang

In this paper, we delve into the susceptibility of federated medical image analysis systems to adversarial attacks. Our analysis uncovers a novel exploitation avenue: using gradient information from prior global model updates, adversaries…

Machine Learning · Computer Science 2023-10-24 Erfan Darzi , Florian Dubost , Nanna. M. Sijtsema , P. M. A van Ooijen

Neural networks trained with class-imbalanced data are known to perform poorly on minor classes of scarce training data. Several recent works attribute this to over-fitting to minor classes. In this paper, we provide a novel explanation of…

Machine Learning · Computer Science 2021-10-12 Han-Jia Ye , De-Chuan Zhan , Wei-Lun Chao

Forward gradient descent (FGD) has been proposed as a biologically more plausible alternative of gradient descent as it can be computed without backward pass. Considering the linear model with $d$ parameters, previous work has found that…

Statistics Theory · Mathematics 2024-11-27 Niklas Dexheimer , Johannes Schmidt-Hieber

Stochastic gradient descent (SGD) now acts as a fundamental part of optimization in current machine learning. Meanwhile, deep learning architectures have shown outstanding performance in a wide range of fields, such as natural language…

Machine Learning · Computer Science 2026-01-27 Zhao Song , Song Yue

This paper presents GReAT (Graph Regularized Adversarial Training), a novel regularization method designed to enhance the robust classification performance of deep learning models. Adversarial examples, characterized by subtle perturbations…

Machine Learning · Computer Science 2024-05-06 Samet Bayram , Kenneth Barner

Deep neural networks are known to be vulnerable to adversarial examples crafted by adding human-imperceptible perturbations to the benign input. After achieving nearly 100% attack success rates in white-box setting, more focus is shifted to…

Computer Vision and Pattern Recognition · Computer Science 2023-07-07 Xu Han , Anmin Liu , Chenxuan Yao , Yanbo Fan , Kun He

Machine unlearning aims to remove the influence of problematic training data after a model has been trained. The primary challenge in machine unlearning is ensuring that the process effectively removes specified data without compromising…

Machine Learning · Computer Science 2026-03-10 Aviv Shamsian , Eitan Shaar , Aviv Navon , Gal Chechik , Ethan Fetaya

Adversarial training is a widely used method to improve the robustness of deep neural networks (DNNs) over adversarial perturbations. However, it is empirically observed that adversarial training on over-parameterized networks often suffers…

Machine Learning · Statistics 2024-01-25 Zhongjie Shi , Fanghui Liu , Yuan Cao , Johan A. K. Suykens

Adversarial training has been considered an imperative component for safely deploying neural network-based applications to the real world. To achieve stronger robustness, existing methods primarily focus on how to generate strong attacks by…

Machine Learning · Computer Science 2023-09-01 Yeachan Kim , Seongyeon Kim , Ihyeok Seo , Bonggun Shin

We investigate two causes for adversarial vulnerability in deep neural networks: bad data and (poorly) trained models. When trained with SGD, deep neural networks essentially achieve zero training error, even in the presence of label noise,…

Machine Learning · Computer Science 2020-07-09 Amartya Sanyal , Puneet K Dokania , Varun Kanade , Philip H. S. Torr