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In this paper, we consider the minimization of a nonsmooth nonconvex objective function $f(x)$ over a closed convex subset $\mathcal{X}$ of $\mathbb{R}^n$, with additional nonsmooth nonconvex constraints $c(x) = 0$. We develop a unified…

Optimization and Control · Mathematics 2024-04-16 Nachuan Xiao , Kuangyu Ding , Xiaoyin Hu , Kim-Chuan Toh

Despite the success of generative adversarial networks (GANs) in generating visually appealing images, they are notoriously challenging to train. In order to stabilize the learning dynamics in minimax games, we propose a novel recursive…

Machine Learning · Computer Science 2022-11-01 Zichu Liu , Lacra Pavel

Generative Adversarial Networks (GANs) are a class of generative models used for various applications, but they have been known to suffer from the mode collapse problem, in which some modes of the target distribution are ignored by the…

Computer Vision and Pattern Recognition · Computer Science 2021-12-30 Karttikeya Mangalam , Rohin Garg

In this paper, we study deep generative models for effective unsupervised learning. We propose VGAN, which works by minimizing a variational lower bound of the negative log likelihood (NLL) of an energy based model (EBM), where the model…

Machine Learning · Computer Science 2016-11-08 Shuangfei Zhai , Yu Cheng , Rogerio Feris , Zhongfei Zhang

In this work, we propose a (linearized) Alternating Direction Method-of-Multipliers (ADMM) algorithm for minimizing a convex function subject to a nonconvex constraint. We focus on the special case where such constraint arises from the…

Machine Learning · Computer Science 2019-07-09 Fabian Latorre Gómez , Armin Eftekhari , Volkan Cevher

Deep generative models can learn to generate realistic-looking images, but many of the most effective methods are adversarial and involve a saddlepoint optimization, which requires a careful balancing of training between a generator network…

Machine Learning · Statistics 2020-02-18 Akash Srivastava , Kai Xu , Michael U. Gutmann , Charles Sutton

We propose the BinaryGAN, a novel generative adversarial network (GAN) that uses binary neurons at the output layer of the generator. We employ the sigmoid-adjusted straight-through estimators to estimate the gradients for the binary…

Machine Learning · Computer Science 2018-10-12 Hao-Wen Dong , Yi-Hsuan Yang

Adversarial training, a special case of multi-objective optimization, is an increasingly prevalent machine learning technique: some of its most notable applications include GAN-based generative modeling and self-play techniques in…

Machine Learning · Statistics 2021-03-17 Gauthier Gidel , David Balduzzi , Wojciech Marian Czarnecki , Marta Garnelo , Yoram Bachrach

Generative Adversarial Networks (GANs) have become predominant in image generation tasks. Their success is attributed to the training regime which employs two models: a generator G and discriminator D that compete in a minimax zero sum…

Machine Learning · Computer Science 2020-11-25 Ariel Ruiz-Garcia , Ibrahim Almakky , Vasile Palade , Luke Hicks

Ever since its debut, generative adversarial networks (GANs) have attracted tremendous amount of attention. Over the past years, different variations of GANs models have been developed and tailored to different applications in practice.…

Mathematical Finance · Quantitative Finance 2021-09-10 Haoyang Cao , Xin Guo

Generative Adversarial Networks (GANs) are an arrange of two neural networks -- the generator and the discriminator -- that are jointly trained to generate artificial data, such as images, from random inputs. The quality of these generated…

Computer Vision and Pattern Recognition · Computer Science 2021-01-05 Manel Mateos , Alejandro González , Xavier Sevillano

Generative adversarial networks (GANs) have been extremely effective in approximating complex distributions of high-dimensional, input data samples, and substantial progress has been made in understanding and improving GAN performance in…

Machine Learning · Computer Science 2018-05-01 Daniel Jiwoong Im , He Ma , Graham Taylor , Kristin Branson

We fix a fundamental issue in the stochastic extragradient method by providing a new sampling strategy that is motivated by approximating implicit updates. Since the existing stochastic extragradient algorithm, called Mirror-Prox, of…

Optimization and Control · Mathematics 2021-02-22 Konstantin Mishchenko , Dmitry Kovalev , Egor Shulgin , Peter Richtárik , Yura Malitsky

Training of neural networks amounts to nonconvex optimization problems that are typically solved by using backpropagation and (variants of) stochastic gradient descent. In this work we propose an alternative approach by viewing the training…

Optimization and Control · Mathematics 2022-04-14 Brecht Evens , Puya Latafat , Andreas Themelis , Johan Suykens , Panagiotis Patrinos

Training generative adversarial networks requires balancing of delicate adversarial dynamics. Even with careful tuning, training may diverge or end up in a bad equilibrium with dropped modes. In this work, we improve CS-GAN with natural…

Machine Learning · Computer Science 2020-07-02 Yan Wu , Jeff Donahue , David Balduzzi , Karen Simonyan , Timothy Lillicrap

In this paper we consider a class of optimization problems with a strongly convex objective function and the feasible set given by an intersection of a simple convex set with a set given by a number of linear equality and inequality…

Optimization and Control · Mathematics 2016-05-11 Alexey Chernov , Pavel Dvurechensky , Alexander Gasnikov

Recent improvements in generative adversarial network (GAN) training techniques prove that progressively training a GAN drastically stabilizes the training and improves the quality of outputs produced. Adding layers after the previous ones…

Sound · Computer Science 2019-03-13 Manan Oza , Himanshu Vaghela , Kriti Srivastava

Generative adversarial imitation learning (GAIL) demonstrates tremendous success in practice, especially when combined with neural networks. Different from reinforcement learning, GAIL learns both policy and reward function from expert…

Machine Learning · Computer Science 2020-06-26 Yufeng Zhang , Qi Cai , Zhuoran Yang , Zhaoran Wang

Adam-type methods, the extension of adaptive gradient methods, have shown great performance in the training of both supervised and unsupervised machine learning models. In particular, Adam-type optimizers have been widely used empirically…

Machine Learning · Computer Science 2021-09-30 Zehao Dou , Yuanzhi Li

Generative adversarial networks (GANs) are emerging machine learning models for generating synthesized data similar to real data by jointly training a generator and a discriminator. In many applications, data and computational resources are…

Machine Learning · Computer Science 2021-07-20 Jinke Ren , Chonghe Liu , Guanding Yu , Dongning Guo