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Adversarial training is one of the most effective approaches defending against adversarial examples for deep learning models. Unlike other defense strategies, adversarial training aims to promote the robustness of models intrinsically.…

Machine Learning · Computer Science 2021-04-22 Tao Bai , Jinqi Luo , Jun Zhao , Bihan Wen , Qian Wang

In light of recent data science trends, new interest has fallen in alternative matrix factorizations. By this, we mean various ways of factorizing particular data matrices so that the factors have special properties and reveal insights into…

Optimization and Control · Mathematics 2023-02-21 Andries Steenkamp

Today's state-of-the-art image classifiers fail to correctly classify carefully manipulated adversarial images. In this work, we develop a new, localized adversarial attack that generates adversarial examples by imperceptibly altering the…

Machine Learning · Computer Science 2019-09-12 Eitan Rothberg , Tingting Chen , Luo Jie , Hao Ji

Reinforcement learning algorithms, just like any other Machine learning algorithm pose a serious threat from adversaries. The adversaries can manipulate the learning algorithm resulting in non-optimal policies. In this paper, we analyze the…

Machine Learning · Computer Science 2021-03-12 Aqeel Anwar , Arijit Raychowdhury

Non-negative matrix factorization (NMF) has become a popular method for representing meaningful data by extracting a non-negative basis feature from an observed non-negative data matrix. Some of the unique features of this method in…

Optimization and Control · Mathematics 2022-11-15 Sajad Fathi Hafshejani , Zahra Moaberfard

Adversarial training is an approach of increasing the robustness of models to adversarial attacks by including adversarial examples in the training set. One major challenge of producing adversarial examples is to contain sufficient…

Machine Learning · Computer Science 2021-10-13 Tianjin Huang , Vlado Menkovski , Yulong Pei , Mykola Pechenizkiy

We describe a graph-based neural acceleration technique for nonnegative matrix factorization that builds upon a connection between matrices and bipartite graphs that is well-known in certain fields, e.g., sparse linear algebra, but has not…

Machine Learning · Computer Science 2022-02-02 Jens Sjölund , Maria Bånkestad

Current neural-network-based classifiers are susceptible to adversarial examples. The most empirically successful approach to defending against such adversarial examples is adversarial training, which incorporates a strong self-attack…

Machine Learning · Computer Science 2020-06-08 Bai Li , Shiqi Wang , Suman Jana , Lawrence Carin

Non-negative matrix factorization (NMF) has become a popular machine learning approach to many problems in text mining, speech and image processing, bio-informatics and seismic data analysis to name a few. In NMF, a matrix of non-negative…

Numerical Analysis · Computer Science 2013-03-19 Hugo Van hamme

We develop a unified and systematic framework for performing online nonnegative matrix factorization under a wide variety of important divergences. The online nature of our algorithm makes it particularly amenable to large-scale data. We…

Machine Learning · Statistics 2016-08-17 Renbo Zhao , Vincent Y. F. Tan , Huan Xu

Adversarial training has become one of the most effective methods for improving robustness of neural networks. However, it often suffers from poor generalization on both clean and perturbed data. In this paper, we propose a new algorithm,…

Machine Learning · Computer Science 2020-02-19 Minhao Cheng , Qi Lei , Pin-Yu Chen , Inderjit Dhillon , Cho-Jui Hsieh

Machine learning classifiers are known to be vulnerable to inputs maliciously constructed by adversaries to force misclassification. Such adversarial examples have been extensively studied in the context of computer vision applications. In…

Machine Learning · Computer Science 2017-02-09 Sandy Huang , Nicolas Papernot , Ian Goodfellow , Yan Duan , Pieter Abbeel

Adversarial training is an effective learning technique to improve the robustness of deep neural networks. In this study, the influence of adversarial training on deep learning models in terms of fairness, robustness, and generalization is…

Machine Learning · Computer Science 2023-05-19 Xiaoling Zhou , Nan Yang , Ou Wu

To be successful in single source domain generalization, maximizing diversity of synthesized domains has emerged as one of the most effective strategies. Many of the recent successes have come from methods that pre-specify the types of…

Machine Learning · Computer Science 2022-12-14 Tejas Gokhale , Rushil Anirudh , Jayaraman J. Thiagarajan , Bhavya Kailkhura , Chitta Baral , Yezhou Yang

Deep Neural Networks (DNNs) have recently achieved great success in many classification tasks. Unfortunately, they are vulnerable to adversarial attacks that generate adversarial examples with a small perturbation to fool DNN models,…

Machine Learning · Computer Science 2022-07-07 Xiaowei Zhou , Ivor W. Tsang , Jie Yin

A theoretical framework for non-negative matrix factorization based on generalized dual Kullback-Leibler divergence, which includes members of the exponential family of models, is proposed. A family of algorithms is developed using this…

Machine Learning · Statistics 2019-05-20 Karthik Devarajan

We consider the problem of finding the best nonnegative rank-2 approximation of an arbitrary nonnegative matrix. We first revisit the theory, including an explicit parametrization of all possible nonnegative factorizations of a nonnegative…

Numerical Analysis · Mathematics 2025-07-29 Etna Lindy , Vanni Noferini , Paul Van Dooren

Adversarial training can improve the robustness of neural networks. Previous methods focus on a single adversarial training strategy and do not consider the model property trained by different strategies. By revisiting the previous methods,…

Computer Vision and Pattern Recognition · Computer Science 2023-03-28 Xingbin Liu , Huafeng Kuang , Xianming Lin , Yongjian Wu , Rongrong Ji

We use techniques from (tracial noncommutative) polynomial optimization to formulate hierarchies of semidefinite programming lower bounds on matrix factorization ranks. In particular, we consider the nonnegative rank, the positive…

Optimization and Control · Mathematics 2018-11-06 Sander Gribling , David de Laat , Monique Laurent

Adversarial training is a widely-applied approach to training deep neural networks to be robust against adversarial perturbation. However, although adversarial training has achieved empirical success in practice, it still remains unclear…

Machine Learning · Computer Science 2025-02-10 Binghui Li , Yuanzhi Li