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It is well known that the generative adversarial nets (GANs) are remarkably difficult to train. The recently proposed Wasserstein GAN (WGAN) creates principled research directions towards addressing these issues. But we found in practice…

Computer Vision and Pattern Recognition · Computer Science 2018-12-04 Lijun Zhang , Yujin Zhang , Yongbin Gao

Overparameterized neural networks often show a benign overfitting property in the sense of achieving excellent generalization behavior despite the number of parameters exceeding the number of training examples. A promising direction to…

Machine Learning · Computer Science 2026-04-23 Yunwen Lei , Yufeng Xie

Various normalization layers have been proposed to help the training of neural networks. Group Normalization (GN) is one of the effective and attractive studies that achieved significant performances in the visual recognition task. Despite…

Computer Vision and Pattern Recognition · Computer Science 2022-07-06 Agus Gunawan , Xu Yin , Kang Zhang

One of the major open problems in machine learning is to characterize generalization in the overparameterized regime, where most traditional generalization bounds become inconsistent even for overparameterized linear regression. In many…

Machine Learning · Computer Science 2023-11-22 Jing Xu , Jiaye Teng , Yang Yuan , Andrew Chi-Chih Yao

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

In this work, we generalize semi-supervised generative adversarial networks (GANs) from classification problems to regression problems. In the last few years, the importance of improving the training of neural networks using semi-supervised…

Machine Learning · Computer Science 2019-09-05 Greg Olmschenk , Zhigang Zhu , Hao Tang

A broad class of unsupervised deep learning methods such as Generative Adversarial Networks (GANs) involve training of overparameterized models where the number of parameters of the model exceeds a certain threshold. A large body of work in…

Robust risk minimisation has several advantages: it has been studied with regards to improving the generalisation properties of models and robustness to adversarial perturbation. We bound the distributionally robust risk for a model class…

Machine Learning · Statistics 2018-09-06 Zac Cranko , Simon Kornblith , Zhan Shi , Richard Nock

Reliable generalization lies at the heart of safe ML and AI. However, understanding when and how neural networks generalize remains one of the most important unsolved problems in the field. In this work, we conduct an extensive empirical…

Generative adversarial networks (GAN) are a powerful subclass of generative models. Despite a very rich research activity leading to numerous interesting GAN algorithms, it is still very hard to assess which algorithm(s) perform better than…

Machine Learning · Statistics 2018-10-30 Mario Lucic , Karol Kurach , Marcin Michalski , Sylvain Gelly , Olivier Bousquet

Generative Adversarial Networks (GANs) have proven to be a powerful framework for learning to draw samples from complex distributions. However, GANs are also notoriously difficult to train, with mode collapse and oscillations a common…

Machine Learning · Statistics 2018-11-28 Kevin J Liang , Chunyuan Li , Guoyin Wang , Lawrence Carin

Many convolutional neural networks (CNNs) have a feed-forward structure. In this paper, a linear program that estimates the Lipschitz bound of such CNNs is proposed. Several CNNs, including the scattering networks, the AlexNet and the…

Information Theory · Computer Science 2018-08-07 Dongmian Zou , Radu Balan , Maneesh Singh

Deep learning models have lately shown great performance in various fields such as computer vision, speech recognition, speech translation, and natural language processing. However, alongside their state-of-the-art performance, it is still…

Machine Learning · Computer Science 2019-04-09 Daniel Jakubovitz , Raja Giryes , Miguel R. D. Rodrigues

Generative models, especially Generative Adversarial Networks (GANs), have received significant attention recently. However, it has been observed that in terms of some attributes, e.g. the number of simple geometric primitives in an image,…

Machine Learning · Computer Science 2019-10-08 Jinchen Xuan , Yunchang Yang , Ze Yang , Di He , Liwei Wang

Attention based neural networks are state of the art in a large range of applications. However, their performance tends to degrade when the number of layers increases. In this work, we show that enforcing Lipschitz continuity by normalizing…

Machine Learning · Computer Science 2021-09-14 George Dasoulas , Kevin Scaman , Aladin Virmaux

Generative Adversarial Networks have been crucial in the developments made in unsupervised learning in recent times. Exemplars of image synthesis from text or other images, these networks have shown remarkable improvements over conventional…

Machine Learning · Computer Science 2019-09-02 Rohan Akut , Sumukh Marathe , Rucha Apte , Ishan Joshi , Siddhivinayak Kulkarni

In this paper we propose to study generalization of neural networks on small algorithmically generated datasets. In this setting, questions about data efficiency, memorization, generalization, and speed of learning can be studied in great…

Machine Learning · Computer Science 2022-01-07 Alethea Power , Yuri Burda , Harri Edwards , Igor Babuschkin , Vedant Misra

Unfolding networks are interpretable networks emerging from iterative algorithms, incorporate prior knowledge of data structure, and are designed to solve inverse problems like compressed sensing, which deals with recovering data from…

Machine Learning · Computer Science 2026-02-09 Vicky Kouni

Deep neural networks (DNNs) generalize remarkably well without explicit regularization even in the strongly over-parametrized regime where classical learning theory would instead predict that they would severely overfit. While many…

Machine Learning · Statistics 2019-04-23 Guillermo Valle-Pérez , Chico Q. Camargo , Ard A. Louis

We analyze the universality and generalization of graph neural networks (GNNs) on attributed graphs, i.e., with node attributes. To this end, we propose pseudometrics over the space of all attributed graphs that describe the fine-grained…

Machine Learning · Computer Science 2025-08-27 Levi Rauchwerger , Stefanie Jegelka , Ron Levie
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