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Recent analyses of certain gradient descent optimization methods have shown that performance can degrade in some settings - such as with stochasticity or implicit momentum. In deep reinforcement learning (Deep RL), such optimization methods…

Machine Learning · Computer Science 2018-10-08 Peter Henderson , Joshua Romoff , Joelle Pineau

Neural networks are trained by optimizing multi-dimensional sets of fitting parameters on non-convex loss landscapes. Low-loss regions of the landscapes correspond to the parameter sets that perform well on the training data. A key issue in…

Machine Learning · Computer Science 2026-02-26 Jianneng Yu , Alexandre V. Morozov

SGD (Stochastic Gradient Descent) is a popular algorithm for large scale optimization problems due to its low iterative cost. However, SGD can not achieve linear convergence rate as FGD (Full Gradient Descent) because of the inherent…

Machine Learning · Computer Science 2017-12-05 Aixiang Chen , Bingchuan Chen , Xiaolong Chai , Rui Bian , Hengguang Li

Deep neural networks (DNNs) have achieved remarkable performance in many tasks, yet they often behave as opaque black boxes. Explanation-guided learning (EGL) methods steer DNNs using human-provided explanations or supervision on model…

Machine Learning · Computer Science 2026-03-03 Chao Chen , Yanhui Chen , Shanshan Lin , Dongsheng Hong , Shu Wu , Xiangwen Liao , Chuanyi Liu

We study a new approach to learning energy-based models (EBMs) based on adversarial training (AT). We show that (binary) AT learns a special kind of energy function that models the support of the data distribution, and the learning process…

Machine Learning · Computer Science 2022-12-29 Xuwang Yin , Shiying Li , Gustavo K. Rohde

We prove local convergence of several notable gradient descent algorithms used in machine learning, for which standard stochastic gradient descent theory does not apply directly. This includes, first, online algorithms for recurrent models…

Dynamical Systems · Mathematics 2021-01-11 Pierre-Yves Massé , Yann Ollivier

Deep models often fail to generalize well in test domains when the data distribution differs from that in the training domain. Among numerous approaches to address this Out-of-Distribution (OOD) generalization problem, there has been a…

Machine Learning · Computer Science 2022-10-14 Qixun Wang , Yifei Wang , Hong Zhu , Yisen Wang

Adversarial training (AT) as a regularization method has proved its effectiveness in various tasks, such as image classification and text classification. Though there are successful applications of AT in many tasks of natural language…

Computation and Language · Computer Science 2019-11-12 Ziqing Yang , Yiming Cui , Wanxiang Che , Ting Liu , Shijin Wang , Guoping Hu

This paper proposes a set of new error criteria and learning approaches, Adaptive Normalized Risk-Averting Training (ANRAT), to attack the non-convex optimization problem in training deep neural networks (DNNs). Theoretically, we…

Machine Learning · Computer Science 2016-06-10 Zhiguang Wang , Tim Oates , James Lo

While adversarial training and its variants have shown to be the most effective algorithms to defend against adversarial attacks, their extremely slow training process makes it hard to scale to large datasets like ImageNet. The key idea of…

Machine Learning · Computer Science 2022-06-07 Zhichao Huang , Yanbo Fan , Chen Liu , Weizhong Zhang , Yong Zhang , Mathieu Salzmann , Sabine Süsstrunk , Jue Wang

We study adversarial robustness of neural networks from a margin maximization perspective, where margins are defined as the distances from inputs to a classifier's decision boundary. Our study shows that maximizing margins can be achieved…

Machine Learning · Computer Science 2020-03-06 Gavin Weiguang Ding , Yash Sharma , Kry Yik Chau Lui , Ruitong Huang

Adversarial training often suffers from a robustness-accuracy trade-off, where achieving high robustness comes at the cost of accuracy. One approach to mitigate this trade-off is leveraging invariance regularization, which encourages model…

Machine Learning · Computer Science 2025-08-29 Futa Waseda , Ching-Chun Chang , Isao Echizen

Decentralized machine learning often relies on outsourcing computations, such as gradient evaluations, to untrusted worker nodes. Existing robust aggregation methods can mitigate malicious behavior under honest-majority assumptions, but may…

Machine Learning · Computer Science 2026-05-11 Hanzaleh Akbari Nodehi , Parsa Moradi , Soheil Mohajer , Mohammad Ali Maddah-Ali

In many real-world applications of Machine Learning it is of paramount importance not only to provide accurate predictions, but also to ensure certain levels of robustness. Adversarial Training is a training procedure aiming at providing…

Machine Learning · Computer Science 2019-10-09 Matteo Terzi , Gian Antonio Susto , Pratik Chaudhari

A major challenge in training large-scale machine learning models is configuring the training process to maximize model performance, i.e., finding the best training setup from a vast design space. In this work, we unlock a gradient-based…

Machine Learning · Statistics 2025-03-19 Logan Engstrom , Andrew Ilyas , Benjamin Chen , Axel Feldmann , William Moses , Aleksander Madry

Learning robust models under adversarial settings is widely recognized as requiring a considerably large number of training samples. Recent work proposes semi-supervised adversarial training (SSAT), which utilizes external unlabeled or…

Machine Learning · Computer Science 2026-03-10 Somrita Ghosh , Yuelin Xu , Xiao Zhang

Despite the empirical success in various domains, it has been revealed that deep neural networks are vulnerable to maliciously perturbed input data that much degrade their performance. This is known as adversarial attacks. To counter…

Machine Learning · Computer Science 2021-08-17 Nanyang Ye , Qianxiao Li , Xiao-Yun Zhou , Zhanxing Zhu

We introduce two complementary techniques for efficient optimization that reduce memory requirements while accelerating training of large-scale neural networks. The first technique, Subset-Norm step size, generalizes AdaGrad-Norm and…

Machine Learning · Computer Science 2025-05-27 Thien Hang Nguyen , Huy Le Nguyen

RMSProp and ADAM continue to be extremely popular algorithms for training neural nets but their theoretical convergence properties have remained unclear. Further, recent work has seemed to suggest that these algorithms have worse…

Machine Learning · Computer Science 2018-11-22 Soham De , Anirbit Mukherjee , Enayat Ullah

Neural networks are vulnerable to adversarial examples, i.e. inputs that are imperceptibly perturbed from natural data and yet incorrectly classified by the network. Adversarial training, a heuristic form of robust optimization that…

Machine Learning · Computer Science 2019-11-12 Ruiqi Gao , Tianle Cai , Haochuan Li , Liwei Wang , Cho-Jui Hsieh , Jason D. Lee
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