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Generative Adversarial Networks (GANs) have been widely applied in different scenarios thanks to the development of deep neural networks. The original GAN was proposed based on the non-parametric assumption of the infinite capacity of…

Machine Learning · Computer Science 2022-11-04 Ziqiang Li , Muhammad Usman , Rentuo Tao , Pengfei Xia , Chaoyue Wang , Huanhuan Chen , Bin Li

The wide applications of Generative adversarial networks benefit from the successful training methods, guaranteeing that an object function converges to the local minima. Nevertheless, designing an efficient and competitive training method…

Machine Learning · Computer Science 2021-11-11 Huiqing Qi , Fang Li , Shengli Tan , Xiangyun Zhang

We introduce a generative adversarial network (GAN) model to simulate the 3-dimensional Lagrangian motion of particles trapped in the recirculation zone of a buoyancy-opposed flame. The GAN model comprises a stochastic recurrent neural…

Machine Learning · Statistics 2019-01-15 Jingwei Gan , Pai Liu , Rajan K. Chakrabarty

Stochastic learning dynamics based on Langevin or Levy stochastic differential equations (SDEs) in deep neural networks control the variance of noise by varying the size of the mini-batch or directly those of injecting noise. Since the…

Machine Learning · Computer Science 2023-10-05 JInwuk Seok , Changsik Cho

Generative adversarial networks (GANs) are a framework that learns a generative distribution through adversarial training. Recently, their class-conditional extensions (e.g., conditional GAN (cGAN) and auxiliary classifier GAN (AC-GAN))…

Computer Vision and Pattern Recognition · Computer Science 2019-05-06 Takuhiro Kaneko , Yoshitaka Ushiku , Tatsuya Harada

We show that the canonical approach for training differentially private GANs -- updating the discriminator with differentially private stochastic gradient descent (DPSGD) -- can yield significantly improved results after modifications to…

Machine Learning · Computer Science 2023-10-06 Alex Bie , Gautam Kamath , Guojun Zhang

We propose a novel technique to make neural network robust to adversarial examples using a generative adversarial network. We alternately train both classifier and generator networks. The generator network generates an adversarial…

Machine Learning · Computer Science 2023-07-06 Hyeungill Lee , Sungyeob Han , Jungwoo Lee

Inferring the latent variable generating a given test sample is a challenging problem in Generative Adversarial Networks (GANs). In this paper, we propose InvGAN - a novel framework for solving the inference problem in GANs, which involves…

Machine Learning · Computer Science 2019-12-02 Wei-An Lin , Yogesh Balaji , Pouya Samangouei , Rama Chellappa

We propose a Stein variational gradient descent method to concurrently sparsify, train, and provide uncertainty quantification of a complexly parameterized model such as a neural network. It employs a graph reconciliation and condensation…

Machine Learning · Computer Science 2024-12-24 Govinda Anantha Padmanabha , Cosmin Safta , Nikolaos Bouklas , Reese E. Jones

We study learning to learn for regression problems through the lens of hyperparameter tuning. We propose the Langevin Gradient Descent Algorithm (LGD), which approximates the mean of the posterior distribution defined by the loss function…

Machine Learning · Computer Science 2026-04-16 Saumya Goyal , Rohith Rongali , Ritabrata Ray , Barnabás Póczos

Generative adversarial networks (GANs) are one of the most widely used generative models. GANs can learn complex multi-modal distributions, and generate real-like samples. Despite the major success of GANs in generating synthetic data, they…

Machine Learning · Computer Science 2021-09-07 Sanaz Mohammadjafari , Mucahit Cevik , Ayse Basar

Generative adversarial networks (GANs) are highly effective unsupervised learning frameworks that can generate very sharp data, even for data such as images with complex, highly multimodal distributions. However GANs are known to be very…

Machine Learning · Statistics 2017-12-05 Sitao Xiang , Hao Li

Stochastic variance reduced gradient (SVRG) is a popular variance reduction technique for accelerating stochastic gradient descent (SGD). We provide a first analysis of the method for solving a class of linear inverse problems in the lens…

Numerical Analysis · Mathematics 2022-01-19 Bangti Jin , Zehui Zhou , Jun Zou

Generative Adversarial Nets (GANs) are very successful at modeling distributions from given samples, even in the high-dimensional case. However, their formulation is also known to be hard to optimize and often not stable. While this is…

Computer Vision and Pattern Recognition · Computer Science 2018-03-30 Ishan Deshpande , Ziyu Zhang , Alexander Schwing

Upon the discovery of adversarial attacks, robust models have become obligatory for deep learning-based systems. Adversarial training with first-order attacks has been one of the most effective defenses against adversarial perturbations to…

Computer Vision and Pattern Recognition · Computer Science 2021-08-24 Inci M. Baytas , Debayan Deb

In recent times, many of the breakthroughs in various vision-related tasks have revolved around improving learning of deep models; these methods have ranged from network architectural improvements such as Residual Networks, to various forms…

Machine Learning · Statistics 2018-05-15 Yan Zuo , Gil Avraham , Tom Drummond

Generative Adversarial Networks (GANs) have shown immense potential in fields such as text and image generation. Only very recently attempts to exploit GANs to statistical-mechanics models have been reported. Here we quantitatively test…

Statistical Mechanics · Physics 2024-05-07 Daniele Lanzoni , Olivier Pierre-Louis , Francesco Montalenti

We study the problem of multimodal generative modelling of images based on generative adversarial networks (GANs). Despite the success of existing methods, they often ignore the underlying structure of vision data or its multimodal…

Machine Learning · Computer Science 2019-11-07 Lili Pan , Shen Cheng , Jian Liu , Yazhou Ren , Zenglin Xu

Stochastic Gradient Langevin Dynamics infuses isotropic gradient noise to SGD to help navigate pathological curvature in the loss landscape for deep networks. Isotropic nature of the noise leads to poor scaling, and adaptive methods based…

Machine Learning · Computer Science 2019-06-13 Chandrasekaran Anirudh Bhardwaj

One of the issues faced in training Generative Adversarial Nets (GANs) and their variants is the problem of mode collapse, wherein the training stability in terms of the generative loss increases as more training data is used. In this…

Machine Learning · Computer Science 2020-11-23 Himanshu Pant , Jayadeva , Sumit Soman