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Local differential privacy is a powerful method for privacy-preserving data collection. In this paper, we develop a framework for training Generative Adversarial Networks (GANs) on differentially privatized data. We show that entropic…

Machine Learning · Computer Science 2024-03-04 Daria Reshetova , Wei-Ning Chen , Ayfer Özgür

We propose a novel regularizer to improve the training of Generative Adversarial Networks (GANs). The motivation is that when the discriminator D spreads out its model capacity in the right way, the learning signals given to the generator G…

Machine Learning · Computer Science 2018-05-11 Yanshuai Cao , Gavin Weiguang Ding , Kry Yik-Chau Lui , Ruitong Huang

Most conditional generation tasks expect diverse outputs given a single conditional context. However, conditional generative adversarial networks (cGANs) often focus on the prior conditional information and ignore the input noise vectors,…

Computer Vision and Pattern Recognition · Computer Science 2019-05-07 Qi Mao , Hsin-Ying Lee , Hung-Yu Tseng , Siwei Ma , Ming-Hsuan Yang

Generative adversarial networks (GANs) are powerful generative models, but usually suffer from instability and generalization problem which may lead to poor generations. Most existing works focus on stabilizing the training of the…

Machine Learning · Computer Science 2020-04-29 Shufei Zhang , Zhuang Qian , Kaizhu Huang , Jimin Xiao , Yuan He

We investigate the effect of explicitly enforcing the Lipschitz continuity of neural networks with respect to their inputs. To this end, we provide a simple technique for computing an upper bound to the Lipschitz constant---for multiple…

Machine Learning · Statistics 2020-08-11 Henry Gouk , Eibe Frank , Bernhard Pfahringer , Michael J. Cree

This paper studies the rates of convergence for learning distributions implicitly with the adversarial framework and Generative Adversarial Networks (GANs), which subsume Wasserstein, Sobolev, MMD GAN, and Generalized/Simulated Method of…

Statistics Theory · Mathematics 2021-10-12 Tengyuan Liang

Regularization techniques are necessary to compute meaningful solutions to discrete ill-posed inverse problems. The well-known 2-norm Tikhonov regularization method equipped with a discretization of the gradient operator as regularization…

Numerical Analysis · Mathematics 2024-06-05 Silvia Gazzola , Ali Gholami

Training neural networks that require adversarial optimization, such as generative adversarial networks (GANs) and unsupervised domain adaptations (UDAs), suffers from instability. This instability problem comes from the difficulty of the…

Machine Learning · Statistics 2023-12-05 Takashi Furuya , Satoshi Okuda , Kazuma Suetake , Yoshihide Sawada

We suggest ways to enforce given constraints in the output of a Generative Adversarial Network (GAN) generator both for interpolation and extrapolation (prediction). For the case of dynamical systems, given a time series, we wish to train…

Machine Learning · Computer Science 2019-09-04 Panos Stinis , Tobias Hagge , Alexandre M. Tartakovsky , Enoch Yeung

Most existing zero-shot learning methods consider the problem as a visual semantic embedding one. Given the demonstrated capability of Generative Adversarial Networks(GANs) to generate images, we instead leverage GANs to imagine unseen…

Computer Vision and Pattern Recognition · Computer Science 2018-05-22 Yizhe Zhu , Mohamed Elhoseiny , Bingchen Liu , Xi Peng , Ahmed Elgammal

GANS are powerful generative models that are able to model the manifold of natural images. We leverage this property to perform manifold regularization by approximating the Laplacian norm using a Monte Carlo approximation that is easily…

Machine Learning · Computer Science 2018-05-24 Bruno Lecouat , Chuan-Sheng Foo , Houssam Zenati , Vijay R. Chandrasekhar

Generative Adversarial Networks (GANs) have been successful in producing outstanding results in areas as diverse as image, video, and text generation. Building on these successes, a large number of empirical studies have validated the…

Machine Learning · Computer Science 2021-06-21 Gérard Biau , Maxime Sangnier , Ugo Tanielian

Generative Adversarial Networks (GANs) have swiftly evolved to imitate increasingly complex image distributions. However, majority of the developments focus on performance of GANs on balanced datasets. We find that the existing GANs and…

Machine Learning · Computer Science 2021-06-18 Harsh Rangwani , Konda Reddy Mopuri , R. Venkatesh Babu

We propose a general framework for increasing local stability of Artificial Neural Nets (ANNs) using Robust Optimization (RO). We achieve this through an alternating minimization-maximization procedure, in which the loss of the network is…

Machine Learning · Statistics 2018-05-07 Uri Shaham , Yutaro Yamada , Sahand Negahban

Adversarial training (AT) has proven to be one of the most effective ways to defend Deep Neural Networks (DNNs) against adversarial attacks. However, the phenomenon of robust overfitting, i.e., the robustness will drop sharply at a certain…

Machine Learning · Computer Science 2022-05-25 Shudong Zhang , Haichang Gao , Tianwei Zhang , Yunyi Zhou , Zihui Wu

Equivariance is a powerful inductive bias in neural networks, improving generalisation and physical consistency. Recently, however, non-equivariant models have regained attention, due to their better runtime performance and imperfect…

Machine Learning · Computer Science 2026-05-27 Torben Berndt , Jan Stühmer

In this paper, we aim to understand the generalization properties of generative adversarial networks (GANs) from a new perspective of privacy protection. Theoretically, we prove that a differentially private learning algorithm used for…

Machine Learning · Computer Science 2019-09-26 Bingzhe Wu , Shiwan Zhao , ChaoChao Chen , Haoyang Xu , Li Wang , Xiaolu Zhang , Guangyu Sun , Jun Zhou

Despite the accomplishments of Generative Adversarial Networks (GANs) in modeling data distributions, training them remains a challenging task. A contributing factor to this difficulty is the non-intuitive nature of the GAN loss curves,…

Machine Learning · Computer Science 2021-07-13 Sahil Sidheekh , Aroof Aimen , Narayanan C. Krishnan

A novel first-order method is proposed for training generative adversarial networks (GANs). It modifies the Gauss-Newton method to approximate the min-max Hessian and uses the Sherman-Morrison inversion formula to calculate the inverse. The…

Machine Learning · Computer Science 2024-04-11 Neel Mishra , Bamdev Mishra , Pratik Jawanpuria , Pawan Kumar

Generative adversarial networks (GANs) are a class of machine-learning models that use adversarial training to generate new samples with the same (potentially very complex) statistics as the training samples. One major form of training…

Disordered Systems and Neural Networks · Physics 2022-12-12 Steven Durr , Youssef Mroueh , Yuhai Tu , Shenshen Wang