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Many applications in machine learning can be framed as minimization problems and solved efficiently using gradient-based techniques. However, recent applications of generative models, particularly GANs, have triggered interest in solving…

Machine Learning · Computer Science 2021-03-24 Paulina Grnarova , Yannic Kilcher , Kfir Y. Levy , Aurelien Lucchi , Thomas Hofmann

Consider the problem of simultaneous estimation of location and variance matrix under Huber's contaminated Gaussian model. First, we study minimum $f$-divergence estimation at the population level, corresponding to a generative adversarial…

Statistics Theory · Mathematics 2022-08-09 Ziyue Wang , Zhiqiang Tan

This paper first presents a theory for generative adversarial methods that does not rely on the traditional minimax formulation. It shows that with a strong discriminator, a good generator can be learned so that the KL divergence between…

Machine Learning · Statistics 2018-06-11 Rie Johnson , Tong Zhang

Recent literature has demonstrated promising results for training Generative Adversarial Networks by employing a set of discriminators, in contrast to the traditional game involving one generator against a single adversary. Such methods…

Machine Learning · Computer Science 2019-01-28 Isabela Albuquerque , João Monteiro , Thang Doan , Breandan Considine , Tiago Falk , Ioannis Mitliagkas

It has been observed that deep learning architectures tend to make erroneous decisions with high reliability for particularly designed adversarial instances. In this work, we show that the perturbation analysis of these architectures…

Machine Learning · Computer Science 2018-12-05 Emilio Rafael Balda , Arash Behboodi , Rudolf Mathar

We relate the minimax game of generative adversarial networks (GANs) to finding the saddle points of the Lagrangian function for a convex optimization problem, where the discriminator outputs and the distribution of generator outputs play…

Machine Learning · Computer Science 2018-02-07 Xu Chen , Jiang Wang , Hao Ge

Segmentation of regions of interest (ROIs) for identifying abnormalities is a leading problem in medical imaging. Using machine learning for this problem generally requires manually annotated ground-truth segmentations, demanding extensive…

Image and Video Processing · Electrical Eng. & Systems 2024-08-19 Jay J. Yoo , Khashayar Namdar , Matthias W. Wagner , Liana Nobre , Uri Tabori , Cynthia Hawkins , Birgit B. Ertl-Wagner , Farzad Khalvati

Generative adversarial networks (GANs) form a generative modeling approach known for producing appealing samples, but they are notably difficult to train. One common way to tackle this issue has been to propose new formulations of the GAN…

Machine Learning · Computer Science 2020-09-01 Gauthier Gidel , Hugo Berard , Gaëtan Vignoud , Pascal Vincent , Simon Lacoste-Julien

Adaptive variational algorithms suffer from prohibitively high measurement costs during the generator selection step, since energy gradients must be estimated for a large operator pool. This scaling bottleneck limits their applicability to…

Quantum Physics · Physics 2025-09-19 Rick Huang , Artur F. Izmaylov

Flow-based generative models leverage invertible generator functions to fit a distribution to the training data using maximum likelihood. Despite their use in several application domains, robustness of these models to adversarial attacks…

Machine Learning · Computer Science 2019-11-21 Phillip Pope , Yogesh Balaji , Soheil Feizi

Generative Adversarial Networks (GANs) are formulated as minimax game problems, whereby generators attempt to approach real data distributions by virtue of adversarial learning against discriminators. The intrinsic problem complexity poses…

Computer Vision and Pattern Recognition · Computer Science 2021-08-10 Yuesong Tian , Li Shen , Li Shen , Guinan Su , Zhifeng Li , Wei Liu

Distributionally robust optimization (DRO) is a widely-used approach to learn models that are robust against distribution shift. Compared with the standard optimization setting, the objective function in DRO is more difficult to optimize,…

Machine Learning · Computer Science 2021-10-27 Jikai Jin , Bohang Zhang , Haiyang Wang , Liwei Wang

Recently, more and more works have proposed to drive evolutionary algorithms using machine learning models.Usually, the performance of such model based evolutionary algorithms is highly dependent on the training qualities of the adopted…

Neural and Evolutionary Computing · Computer Science 2020-04-08 Cheng He , Shihua Huang , Ran Cheng , Kay Chen Tan , Yaochu Jin

Generative adversarial learning is a popular new approach to training generative models which has been proven successful for other related problems as well. The general idea is to maintain an oracle $D$ that discriminates between the…

Machine Learning · Statistics 2016-12-08 Nir Baram , Oron Anschel , Shie Mannor

We propose a new framework for estimating generative models via an adversarial process, in which we simultaneously train two models: a generative model G that captures the data distribution, and a discriminative model D that estimates the…

Models trained via empirical risk minimization (ERM) are known to rely on spurious correlations between labels and task-independent input features, resulting in poor generalization to distributional shifts. Group distributionally robust…

Machine Learning · Computer Science 2022-12-12 Bhargavi Paranjape , Pradeep Dasigi , Vivek Srikumar , Luke Zettlemoyer , Hannaneh Hajishirzi

The Generative Adversarial Network (GAN) was recently introduced in the literature as a novel machine learning method for training generative models. It has many applications in statistics such as nonparametric clustering and nonparametric…

Machine Learning · Statistics 2023-06-26 Sehwan Kim , Qifan Song , Faming Liang

Adaptive gradient algorithms perform gradient-based updates using the history of gradients and are ubiquitous in training deep neural networks. While adaptive gradient methods theory is well understood for minimization problems, the…

Optimization and Control · Mathematics 2020-12-29 Mingrui Liu , Youssef Mroueh , Jerret Ross , Wei Zhang , Xiaodong Cui , Payel Das , Tianbao Yang

We introduce a novel approach for training adversarial models by replacing the discriminator score with a bi-modal Gaussian distribution over the real/fake indicator variables. In order to do this, we train the Gaussian classifier to match…

Machine Learning · Statistics 2018-08-21 Karan Grewal , R Devon Hjelm , Yoshua Bengio

Bayesian parameter inference for complex stochastic simulators is challenging due to intractable likelihood functions. Existing simulation-based inference methods often require large number of simulations and become costly to use in…

Machine Learning · Computer Science 2026-04-06 Vasilis Gkolemis , Christos Diou , Michael U. Gutmann