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Regression is a fundamental task in machine learning that has garnered extensive attention over the past decades. The conventional approach for regression involves employing loss functions that primarily concentrate on aligning model…

Machine Learning · Computer Science 2025-06-12 Dixian Zhu , Tianbao Yang , Livnat Jerby

While Generative Adversarial Networks (GANs) have empirically produced impressive results on learning complex real-world distributions, recent works have shown that they suffer from lack of diversity or mode collapse. The theoretical work…

Machine Learning · Computer Science 2019-07-02 Yu Bai , Tengyu Ma , Andrej Risteski

A basic, and still largely unanswered, question in the context of Generative Adversarial Networks (GANs) is whether they are truly able to capture all the fundamental characteristics of the distributions they are trained on. In particular,…

Machine Learning · Computer Science 2018-06-07 Shibani Santurkar , Ludwig Schmidt , Aleksander Mądry

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

Generative adversarial networks (GANs) are often billed as "universal distribution learners", but precisely what distributions they can represent and learn is still an open question. Heavy-tailed distributions are prevalent in many…

Machine Learning · Computer Science 2021-01-25 Todd Huster , Jeremy E. J. Cohen , Zinan Lin , Kevin Chan , Charles Kamhoua , Nandi Leslie , Cho-Yu Jason Chiang , Vyas Sekar

In this technical report we describe some properties of f-divergences and f-GAN training. We present an elementary derivation of the f-divergence lower bounds which form the basis of f-GAN training. We derive informative but perhaps…

Machine Learning · Computer Science 2020-09-03 Matt Shannon

Generative adversarial networks (GANs) are machine learning models that are used to estimate the underlying statistical structure of a given dataset and as a result can be used for a variety of tasks such as image generation or anomaly…

Computer Vision and Pattern Recognition · Computer Science 2024-06-10 Shakhnaz Akhmedova , Nils Körber

We propose a novel autoencoding model called Pairwise Augmented GANs. We train a generator and an encoder jointly and in an adversarial manner. The generator network learns to sample realistic objects. In turn, the encoder network at the…

Machine Learning · Statistics 2018-10-12 Aibek Alanov , Max Kochurov , Daniil Yashkov , Dmitry Vetrov

We analyze the optimization landscape of a recently introduced tunable class of loss functions called $\alpha$-loss, $\alpha \in (0,\infty]$, in the logistic model. This family encapsulates the exponential loss ($\alpha = 1/2$), the…

Machine Learning · Computer Science 2022-12-22 Tyler Sypherd , Mario Diaz , Lalitha Sankar , Gautam Dasarathy

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

Auto-encoding generative adversarial networks (GANs) combine the standard GAN algorithm, which discriminates between real and model-generated data, with a reconstruction loss given by an auto-encoder. Such models aim to prevent mode…

Machine Learning · Statistics 2017-10-24 Mihaela Rosca , Balaji Lakshminarayanan , David Warde-Farley , Shakir Mohamed

Generative adversarial networks (GANs) are unsupervised learning methods for training a generator distribution to produce samples that approximate those drawn from a target distribution. Many such methods can be formulated as minimization…

Machine Learning · Statistics 2025-05-13 Jeremiah Birrell

A generative adversarial network (GAN) has been a representative backbone model in generative artificial intelligence (AI) because of its powerful performance in capturing intricate data-generating processes. However, the GAN training is…

Machine Learning · Statistics 2025-08-21 Jinwon Sohn , Qifan Song

Parametric adversarial divergences, which are a generalization of the losses used to train generative adversarial networks (GANs), have often been described as being approximations of their nonparametric counterparts, such as the…

Machine Learning · Computer Science 2021-10-22 Gabriel Huang , Hugo Berard , Ahmed Touati , Gauthier Gidel , Pascal Vincent , Simon Lacoste-Julien

Generative Adversarial Networks (GANs) have become a very popular tool for implicitly learning high-dimensional probability distributions. Several improvements have been made to the original GAN formulation to address some of its…

Computer Vision and Pattern Recognition · Computer Science 2019-11-11 Parimala Kancharla , Sumohana S. Channappayya

Anomaly detection is a classical problem where the aim is to detect anomalous data that do not belong to the normal data distribution. Current state-of-the-art methods for anomaly detection on complex high-dimensional data are based on the…

Machine Learning · Computer Science 2019-04-03 Cuong Phuc Ngo , Amadeus Aristo Winarto , Connie Kou Khor Li , Sojeong Park , Farhan Akram , Hwee Kuan Lee

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

The generative adversarial network (GAN) is an important model developed for high-dimensional distribution learning in recent years. However, there is a pressing need for a comprehensive method to understand its error convergence rate. In…

Machine Learning · Statistics 2023-10-25 Mahmud Hasan , Hailin Sang

Generative Adversarial Networks (GANs) have achieved great success in data generation. However, its statistical properties are not fully understood. In this paper, we consider the statistical behavior of the general $f$-divergence…

Statistics Theory · Mathematics 2022-09-16 Xinwei Shen , Kani Chen , Tong Zhang

In this work, we propose a method for training distributed GAN with sequential temporary discriminators. Our proposed method tackles the challenge of training GAN in the federated learning manner: How to update the generator with a flow of…

Computer Vision and Pattern Recognition · Computer Science 2020-07-21 Hui Qu , Yikai Zhang , Qi Chang , Zhennan Yan , Chao Chen , Dimitris Metaxas