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We propose a new metaheuristic training scheme that combines Stochastic Gradient Descent (SGD) and Discrete Optimization in an unconventional way. Our idea is to define a discrete neighborhood of the current SGD point containing a number of…

Machine Learning · Computer Science 2019-06-05 Matteo Fischetti , Matteo Stringher

In neural networks, continual learning results in gradient interference among sequential tasks, leading to catastrophic forgetting of old tasks while learning new ones. This issue is addressed in recent methods by storing the important…

Machine Learning · Computer Science 2023-02-06 Gobinda Saha , Kaushik Roy

The most straightforward method to accelerate Stochastic Gradient Descent (SGD) computation is to distribute the randomly selected batch of inputs over multiple processors. To keep the distributed processors fully utilized requires…

Machine Learning · Computer Science 2020-01-06 Zhewei Yao , Amir Gholami , Daiyaan Arfeen , Richard Liaw , Joseph Gonzalez , Kurt Keutzer , Michael Mahoney

Network embedding maps a network into a low-dimensional Euclidean space, and thus facilitate many network analysis tasks, such as node classification, link prediction and community detection etc, by utilizing machine learning methods. In…

Physics and Society · Physics 2018-09-18 Jinyin Chen , Yangyang Wu , Xuanheng Xu , Yixian Chen , Haibin Zheng , Qi Xuan

While deep learning is remarkably successful on perceptual tasks, it was also shown to be vulnerable to adversarial perturbations of the input. These perturbations denote noise added to the input that was generated specifically to fool the…

Machine Learning · Statistics 2017-08-02 Jan Hendrik Metzen , Mummadi Chaithanya Kumar , Thomas Brox , Volker Fischer

Machine learning classifiers are vulnerable to adversarial examples -- input-specific perturbations that manipulate models' output. Universal Adversarial Perturbations (UAPs), which identify noisy patterns that generalize across the input…

Cryptography and Security · Computer Science 2022-02-03 Raphael Labaca-Castro , Luis Muñoz-González , Feargus Pendlebury , Gabi Dreo Rodosek , Fabio Pierazzi , Lorenzo Cavallaro

Embodied agents in vision navigation coupled with deep neural networks have attracted increasing attention. However, deep neural networks have been shown vulnerable to malicious adversarial noises, which may potentially cause catastrophic…

Machine Learning · Computer Science 2025-05-20 Chengyang Ying , You Qiaoben , Xinning Zhou , Hang Su , Wenbo Ding , Jianyong Ai

Deep Convolutional Networks (DCNs) have been shown to be vulnerable to adversarial examples---perturbed inputs specifically designed to produce intentional errors in the learning algorithms at test time. Existing input-agnostic adversarial…

Cryptography and Security · Computer Science 2019-11-26 Kenneth T. Co , Luis Muñoz-González , Sixte de Maupeou , Emil C. Lupu

In this paper, we consider a general stochastic optimization problem which is often at the core of supervised learning, such as deep learning and linear classification. We consider a standard stochastic gradient descent (SGD) method with a…

Machine Learning · Statistics 2018-12-27 Lam M. Nguyen , Nam H. Nguyen , Dzung T. Phan , Jayant R. Kalagnanam , Katya Scheinberg

We propose SWA-Gaussian (SWAG), a simple, scalable, and general purpose approach for uncertainty representation and calibration in deep learning. Stochastic Weight Averaging (SWA), which computes the first moment of stochastic gradient…

Machine Learning · Computer Science 2020-01-01 Wesley Maddox , Timur Garipov , Pavel Izmailov , Dmitry Vetrov , Andrew Gordon Wilson

Despite the recent advances of graph neural networks (GNNs) in modeling graph data, the training of GNNs on large datasets is notoriously hard due to the overfitting. Adversarial training, which augments data with the worst-case adversarial…

Machine Learning · Computer Science 2021-10-29 Haotian Xue , Kaixiong Zhou , Tianlong Chen , Kai Guo , Xia Hu , Yi Chang , Xin Wang

In this paper, we propose a novel normalization method called gradient normalization (GN) to tackle the training instability of Generative Adversarial Networks (GANs) caused by the sharp gradient space. Unlike existing work such as gradient…

Machine Learning · Computer Science 2021-10-12 Yi-Lun Wu , Hong-Han Shuai , Zhi-Rui Tam , Hong-Yu Chiu

Detecting adversarial samples that are carefully crafted to fool the model is a critical step to socially-secure applications. However, existing adversarial detection methods require access to sufficient training data, which brings…

Computation and Language · Computer Science 2023-06-29 Songyang Gao , Shihan Dou , Qi Zhang , Xuanjing Huang , Jin Ma , Ying Shan

We analyze a fast incremental aggregated gradient method for optimizing nonconvex problems of the form $\min_x \sum_i f_i(x)$. Specifically, we analyze the SAGA algorithm within an Incremental First-order Oracle framework, and show that it…

Optimization and Control · Mathematics 2016-03-22 Sashank J. Reddi , Suvrit Sra , Barnabas Poczos , Alex Smola

Spiking neural networks (SNNs) have shown their competence in handling spatial-temporal event-based data with low energy consumption. Similar to conventional artificial neural networks (ANNs), SNNs are also vulnerable to gradient-based…

Computer Vision and Pattern Recognition · Computer Science 2025-03-07 Li Lun , Kunyu Feng , Qinglong Ni , Ling Liang , Yuan Wang , Ying Li , Dunshan Yu , Xiaoxin Cui

Machine learning models trained with \emph{stochastic} gradient descent (SGD) can generalize better than those trained with deterministic gradient descent (GD). In this work, we study SGD's impact on generalization through the lens of the…

Machine Learning · Computer Science 2025-12-09 Hongjian Lan , Yucong Liu , Florian Schäfer

Stochastic gradient descent (SGD) method is popular for solving non-convex optimization problems in machine learning. This work investigates SGD from a viewpoint of graduated optimization, which is a widely applied approach for non-convex…

Optimization and Control · Mathematics 2023-08-15 Da Li , Jingjing Wu , Qingrun Zhang

Although stochastic gradient descent (SGD) method and its variants (e.g., stochastic momentum methods, AdaGrad) are the choice of algorithms for solving non-convex problems (especially deep learning), there still remain big gaps between the…

Optimization and Control · Mathematics 2019-03-07 Zaiyi Chen , Zhuoning Yuan , Jinfeng Yi , Bowen Zhou , Enhong Chen , Tianbao Yang

Adversarial examples are augmented data points generated by imperceptible perturbation of input samples. They have recently drawn much attention with the machine learning and data mining community. Being difficult to distinguish from real…

Machine Learning · Computer Science 2016-03-03 Chunchuan Lyu , Kaizhu Huang , Hai-Ning Liang

Generative adversarial networks (GANs) have attracted intense interest in the field of generative models. However, few investigations focusing either on the theoretical analysis or on algorithm design for the approximation ability of the…

Machine Learning · Computer Science 2020-07-14 Xuejiao Liu , Yao Xu , Xueshuang Xiang
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