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This paper studies generative adversarial networks (GANs) from the perspective of statistical inference. A GAN is a popular machine learning method in which the parameters of two neural networks, a generator and a discriminator, are…

Statistics Theory · Mathematics 2023-12-06 Mika Meitz

Deep neural networks (DNNs) exhibit an exceptional capacity for generalization in practical applications. This work aims to capture the effect and benefits of depth for supervised learning via information-theoretic generalization bounds. We…

Machine Learning · Computer Science 2025-05-09 Haiyun He , Ziv Goldfeld

Despite the success of Lipschitz regularization in stabilizing GAN training, the exact reason of its effectiveness remains poorly understood. The direct effect of $K$-Lipschitz regularization is to restrict the $L2$-norm of the neural…

Computer Vision and Pattern Recognition · Computer Science 2020-08-26 Yipeng Qin , Niloy Mitra , Peter Wonka

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

The true distribution parameterizations of commonly used image datasets are inaccessible. Rather than designing metrics for feature spaces with unknown characteristics, we propose to measure GAN performance by evaluating on explicitly…

Machine Learning · Computer Science 2018-12-31 Shayne O'Brien , Matt Groh , Abhimanyu Dubey

Generative adversarial networks (GANs) has gained tremendous popularity lately due to an ability to reinforce quality of its predictive model with generated objects and the quality of the generative model with and supervised feedback. GANs…

Computer Vision and Pattern Recognition · Computer Science 2017-05-31 Evgeny Zamyatin , Andrey Filchenkov

In traditional generative modeling, good data representation is very often a base for a good machine learning model. It can be linked to good representations encoding more explanatory factors that are hidden in the original data. With the…

Machine Learning · Computer Science 2019-04-01 Maciej Zamorski , Adrian Zdobylak , Maciej Zięba , Jerzy Świątek

Despite the growing interest in generative adversarial networks (GANs), training GANs remains a challenging problem, both from a theoretical and a practical standpoint. To address this challenge, in this paper, we propose a novel way to…

Machine Learning · Computer Science 2018-11-27 Qunwei Li , Bhavya Kailkhura , Rushil Anirudh , Yi Zhou , Yingbin Liang , Pramod Varshney

Lipschitz Bound Estimation is an effective method of regularizing deep neural networks to make them robust against adversarial attacks. This is useful in a variety of applications ranging from reinforcement learning to autonomous systems.…

Machine Learning · Computer Science 2022-07-18 Sarosij Bose

The Lookahead optimizer enhances deep learning models by employing a dual-weight update mechanism, which has been shown to improve the performance of underlying optimizers such as SGD. However, most theoretical studies focus on its…

Machine Learning · Computer Science 2025-09-22 Kangcheng Li , Yunwen Lei

Generative Adversarial Networks (GANs) have been shown to be powerful and flexible priors when solving inverse problems. One challenge of using them is overcoming representation error, the fundamental limitation of the network in…

Machine Learning · Computer Science 2022-04-12 Sean Gunn , Jorio Cocola , Paul Hand

Despite the recency of their conception, Generative Adversarial Networks (GANs) constitute an extensively researched machine learning sub-field for the creation of synthetic data through deep generative modeling. GANs have consequently been…

Networking and Internet Architecture · Computer Science 2021-05-11 Hojjat Navidan , Parisa Fard Moshiri , Mohammad Nabati , Reza Shahbazian , Seyed Ali Ghorashi , Vahid Shah-Mansouri , David Windridge

Generative Adversarial Networks (GANs) have brought about rapid progress towards generating photorealistic images. Yet the equitable allocation of their modeling capacity among subgroups has received less attention, which could lead to…

Computer Vision and Pattern Recognition · Computer Science 2020-08-25 Ning Yu , Ke Li , Peng Zhou , Jitendra Malik , Larry Davis , Mario Fritz

Generative adversarial networks (GANs) have made impressive advances in image generation, but they often require large-scale training data to avoid degradation caused by discriminator overfitting. To tackle this issue, we investigate the…

Machine Learning · Computer Science 2024-08-22 Jian Wang , Xin Lan , Yuxin Tian , Jiancheng Lv

This paper tackles the problem of Lipschitz regularization of Convolutional Neural Networks. Lipschitz regularity is now established as a key property of modern deep learning with implications in training stability, generalization,…

Machine Learning · Computer Science 2020-11-10 Alexandre Araujo , Benjamin Negrevergne , Yann Chevaleyre , Jamal Atif

Generative models, particularly Generative Adversarial Networks (GANs), often suffer from a lack of output diversity, frequently generating similar samples rather than a wide range of variations. This paper introduces a novel generalization…

Machine Learning · Computer Science 2026-03-20 Muhammad Mubashar , Fabio Cuzzolin

In supervised learning, it is known that overparameterized neural networks with one hidden layer provably and efficiently learn and generalize, when trained using stochastic gradient descent with a sufficiently small learning rate and…

Machine Learning · Computer Science 2022-03-24 Kulin Shah , Amit Deshpande , Navin Goyal

Deep generative frameworks including GANs and normalizing flow models have proven successful at filling in missing values in partially observed data samples by effectively learning -- either explicitly or implicitly -- complex,…

Machine Learning · Computer Science 2021-04-06 Edgar A. Bernal

The empirical success of Generative Adversarial Networks (GANs) caused an increasing interest in theoretical research. The statistical literature is mainly focused on Wasserstein GANs and generalizations thereof, which especially allow for…

Statistics Theory · Mathematics 2024-07-30 Lea Kunkel , Mathias Trabs

While there are many works on the applications of machine learning, not so many of them are trying to understand the theoretical justifications to explain their efficiency. In this work, overfitting control (or generalization property) in…

Machine Learning · Computer Science 2024-12-17 Sergei V. Kozyrev , Ilya A Lopatin , Alexander N Pechen