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Generative adversarial networks (GANs) are designed with the help of min-max optimization problems that are solved with stochastic gradient-type algorithms which are known to be non-robust. In this work we revisit a non-adversarial method…

Machine Learning · Computer Science 2018-11-26 Kalliopi Basioti , George V. Moustakides , Emmanouil Z. Psarakis

Stochastic variance-reduced gradient (SVRG) is a classical optimization method. Although it is theoretically proved to have better convergence performance than stochastic gradient descent (SGD), the generalization performance of SVRG…

Machine Learning · Statistics 2019-08-20 Hao Jin , Dachao Lin , Zhihua Zhang

Generative adversarial networks (GANs), famous for the capability of learning complex underlying data distribution, are however known to be tricky in the training process, which would probably result in mode collapse or performance…

Machine Learning · Computer Science 2020-04-23 Dong Wang , Xiaoqian Qin , Fengyi Song , Li Cheng

One of the training strategies of generative models is to minimize the Jensen--Shannon divergence between the model distribution and the data distribution. Since data distribution is unknown, generative adversarial networks (GANs) formulate…

Machine Learning · Computer Science 2023-02-22 Hiroki Naganuma , Hideaki Iiduka

We present a novel method and analysis to train generative adversarial networks (GAN) in a stable manner. As shown in recent analysis, training is often undermined by the probability distribution of the data being zero on neighborhoods of…

Computer Vision and Pattern Recognition · Computer Science 2019-09-18 Simon Jenni , Paolo Favaro

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

The black-box adversarial attack has attracted impressive attention for its practical use in the field of deep learning security. Meanwhile, it is very challenging as there is no access to the network architecture or internal weights of the…

Machine Learning · Computer Science 2022-04-26 Yifeng Xiong , Jiadong Lin , Min Zhang , John E. Hopcroft , Kun He

Stochastic first-order methods for empirical risk minimization employ gradient approximations based on sampled data in lieu of exact gradients. Such constructions introduce noise into the learning dynamics, which can be corrected through…

Machine Learning · Computer Science 2025-03-18 Sean Xiao , Sangwoo Park , Stefan Vlaski

Despite the fundamental distinction between adversarial and natural training (AT and NT), AT methods generally adopt momentum SGD (MSGD) for the outer optimization. This paper aims to analyze this choice by investigating the overlooked role…

Machine Learning · Computer Science 2022-09-05 Ali Dabouei , Fariborz Taherkhani , Sobhan Soleymani , Nasser M. Nasrabadi

The choice of batch-size in a stochastic optimization algorithm plays a substantial role for both optimization and generalization. Increasing the batch-size used typically improves optimization but degrades generalization. To address the…

Machine Learning · Computer Science 2020-03-03 Yeming Wen , Kevin Luk , Maxime Gazeau , Guodong Zhang , Harris Chan , Jimmy Ba

We present and analyze several strategies for improving the performance of stochastic variance-reduced gradient (SVRG) methods. We first show that the convergence rate of these methods can be preserved under a decreasing sequence of errors…

Machine Learning · Computer Science 2016-08-06 Reza Babanezhad , Mohamed Osama Ahmed , Alim Virani , Mark Schmidt , Jakub Konečný , Scott Sallinen

Generative adversarial networks (GANs) are a class of generative models, known for producing accurate samples. The key feature of GANs is that there are two antagonistic neural networks: the generator and the discriminator. The main…

Machine Learning · Computer Science 2025-08-05 Barbara Franci , Sergio Grammatico

Machine learning, especially deep neural networks, has been rapidly developed in fields including computer vision, speech recognition and reinforcement learning. Although Mini-batch SGD is one of the most popular stochastic optimization…

Machine Learning · Computer Science 2019-03-12 Xinyu Peng , Li Li , Fei-Yue Wang

Generative adversarial networks (GANs) are a class of generative models with two antagonistic neural networks: a generator and a discriminator. These two neural networks compete against each other through an adversarial process that can be…

Machine Learning · Computer Science 2021-05-24 Barbara Franci , Sergio Grammatico

Variance reduction (VR) methods employ stochastic gradients with decreasing variance, and they have been widely applied to solve large-scale optimization problems in machine learning because of their efficiency. Existing theoretical studies…

Machine Learning · Computer Science 2026-05-28 Yunwen Lei , Zimeng Wang , Xiaoming Yuan

We consider monotone variational inequality (VI) problems in multi-GPU settings where multiple processors/workers/clients have access to local stochastic dual vectors. This setting includes a broad range of important problems from…

Machine Learning · Computer Science 2023-08-21 Ali Ramezani-Kebrya , Kimon Antonakopoulos , Igor Krawczuk , Justin Deschenaux , Volkan Cevher

As models for nature language processing (NLP), computer vision (CV) and recommendation systems (RS) require surging computation, a large number of GPUs/TPUs are paralleled as a large batch (LB) to improve training throughput. However,…

Machine Learning · Computer Science 2023-09-26 Guo-qing Jiang , Jinlong Liu , Zixiang Ding , Lin Guo , Wei Lin

We investigate the effectiveness of generative adversarial networks (GANs) for speech enhancement, in the context of improving noise robustness of automatic speech recognition (ASR) systems. Prior work demonstrates that GANs can effectively…

Sound · Computer Science 2018-11-01 Chris Donahue , Bo Li , Rohit Prabhavalkar

Advancing defensive mechanisms against adversarial attacks in generative models is a critical research topic in machine learning. Our study focuses on a specific type of generative models - Variational Auto-Encoders (VAEs). Contrary to…

Adding noises to artificial neural network(ANN) has been shown to be able to improve robustness in previous work. In this work, we propose a new technique to compute the pathwise stochastic gradient estimate with respect to the standard…

Machine Learning · Computer Science 2021-02-10 Li Xiao , Zeliang Zhang , Yijie Peng
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