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In practice it is often found that large over-parameterized neural networks generalize better than their smaller counterparts, an observation that appears to conflict with classical notions of function complexity, which typically favor…

Machine Learning · Statistics 2018-06-20 Roman Novak , Yasaman Bahri , Daniel A. Abolafia , Jeffrey Pennington , Jascha Sohl-Dickstein

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

In recent years, Generative Adversarial Networks (GANs) have shown substantial progress in modeling complex distributions of data. These networks have received tremendous attention since they can generate implicit probabilistic models that…

Signal Processing · Electrical Eng. & Systems 2018-10-25 Mehdi Ahmadi , Timothy Nest , Mostafa Abdelnaim , Thanh-Dung Le

We propose Hellinger-type loss functions for training Generative Adversarial Networks (GANs), motivated by the boundedness, symmetry, and robustness properties of the Hellinger distance. We define an adversarial objective based on this…

Machine Learning · Statistics 2025-12-16 Giovanni Saraceno , Anand N. Vidyashankar , Claudio Agostinelli

Nowozin \textit{et al} showed last year how to extend the GAN \textit{principle} to all $f$-divergences. The approach is elegant but falls short of a full description of the supervised game, and says little about the key player, the…

Machine Learning · Computer Science 2017-07-17 Richard Nock , Zac Cranko , Aditya Krishna Menon , Lizhen Qu , Robert C. Williamson

Supervised deep learning methods are enjoying enormous success in many practical applications of computer vision and have the potential to revolutionize robotics. However, the marked performance degradation to biases and imbalanced data…

Computer Vision and Pattern Recognition · Computer Science 2020-08-14 Aadarsh Sahoo , Ankit Singh , Rameswar Panda , Rogerio Feris , Abir Das

The generation of high-quality synthetic data presents significant challenges in machine learning research, particularly regarding statistical fidelity and uncertainty quantification. Existing generative models produce compelling synthetic…

Machine Learning · Computer Science 2025-05-13 Rahul Vishwakarma , Shrey Dharmendra Modi , Vishwanath Seshagiri

We introduce Kernel Density Discrimination GAN (KDD GAN), a novel method for generative adversarial learning. KDD GAN formulates the training as a likelihood ratio optimization problem where the data distributions are written explicitly via…

Machine Learning · Computer Science 2021-07-14 Abdelhak Lemkhenter , Adam Bielski , Alp Eren Sari , Paolo Favaro

In this article, we introduce a new mode for training Generative Adversarial Networks (GANs). Rather than minimizing the distance of evidence distribution $\tilde{p}(x)$ and the generative distribution $q(x)$, we minimize the distance of…

Machine Learning · Computer Science 2018-10-30 Jianlin Su

Generative Adversarial Networks (GANs) have high computational costs to train their complex architectures. Throughout the training process, GANs' output is analyzed qualitatively based on the loss and synthetic images' diversity and…

Computer Vision and Pattern Recognition · Computer Science 2024-06-03 Muhammad Muneeb Saad , Mubashir Husain Rehmani , Ruairi O'Reilly

This work is an update of a previous paper on the same topic published a few years ago. With the dramatic progress in generative modeling, a suite of new quantitative and qualitative techniques to evaluate models has emerged. Although some…

Machine Learning · Computer Science 2021-10-05 Ali Borji

We examine the geometry of neural network training using the Jacobian of trained network parameters with respect to their initial values. Our analysis reveals low-dimensional structure in the training process which is dependent on the input…

Machine Learning · Computer Science 2024-12-12 Nora Belrose , Adam Scherlis

We propose studying GAN training dynamics as regret minimization, which is in contrast to the popular view that there is consistent minimization of a divergence between real and generated distributions. We analyze the convergence of GAN…

Artificial Intelligence · Computer Science 2017-12-12 Naveen Kodali , Jacob Abernethy , James Hays , Zsolt Kira

Generative adversarial networks (GANs), built with a generator and discriminator, significantly have advanced image generation. Typically, existing papers build their generators by stacking up multiple residual blocks since it makes ease…

Computer Vision and Pattern Recognition · Computer Science 2023-02-20 Seung Park , Yong-Goo Shin

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

This work presents the first statistical performance guarantees for group-invariant generative models. Many real data, such as images and molecules, are invariant to certain group symmetries, which can be taken advantage of to learn more…

Machine Learning · Statistics 2025-03-12 Ziyu Chen , Markos A. Katsoulakis , Luc Rey-Bellet , Wei Zhu

Generative Adversarial Networks (GANs) are powerful models for learning complex distributions. Stable training of GANs has been addressed in many recent works which explore different metrics between distributions. In this paper we introduce…

Machine Learning · Computer Science 2017-11-07 Youssef Mroueh , Tom Sercu

Generative models estimate the underlying distribution of a dataset to generate realistic samples according to that distribution. In this paper, we present the first membership inference attacks against generative models: given a data…

Cryptography and Security · Computer Science 2018-08-22 Jamie Hayes , Luca Melis , George Danezis , Emiliano De Cristofaro

Generative Adversarial Networks (GANs) are powerful Machine Learning models capable of generating fully synthetic samples of a desired phenomenon with a high resolution. Despite their success, the training process of a GAN is highly…

Machine Learning · Computer Science 2022-09-07 Ángel González-Prieto , Alberto Mozo , Edgar Talavera , Sandra Gómez-Canaval

Class-conditional image generation using generative adversarial networks (GANs) has been investigated through various techniques; however, it continues to face challenges such as mode collapse, training instability, and low-quality output…

Computer Vision and Pattern Recognition · Computer Science 2023-06-07 Taesun Yeom , Minhyeok Lee