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We study the generalization properties of the popular stochastic optimization method known as stochastic gradient descent (SGD) for optimizing general non-convex loss functions. Our main contribution is providing upper bounds on the…

Machine Learning · Computer Science 2021-08-17 Gergely Neu , Gintare Karolina Dziugaite , Mahdi Haghifam , Daniel M. Roy

Anomaly detection is often considered a challenging field of machine learning due to the difficulty of obtaining anomalous samples for training and the need to obtain a sufficient amount of training data. In recent years, autoencoders have…

Machine Learning · Computer Science 2018-10-15 Yotam Intrator , Gilad Katz , Asaf Shabtai

An information-theoretic upper bound on the generalization error of supervised learning algorithms is derived. The bound is constructed in terms of the mutual information between each individual training sample and the output of the…

Machine Learning · Computer Science 2020-08-06 Yuheng Bu , Shaofeng Zou , Venugopal V. Veeravalli

As a kind of generative self-supervised learning methods, generative adversarial nets have been widely studied in the field of anomaly detection. However, the representation learning ability of the generator is limited since it pays too…

Computer Vision and Pattern Recognition · Computer Science 2021-07-28 Xuan Xia , Xizhou Pan , Xing He , Jingfei Zhang , Ning Ding , Lin Ma

This paper first presents a theory for generative adversarial methods that does not rely on the traditional minimax formulation. It shows that with a strong discriminator, a good generator can be learned so that the KL divergence between…

Machine Learning · Statistics 2018-06-11 Rie Johnson , Tong Zhang

The two key players in Generative Adversarial Networks (GANs), the discriminator and generator, are usually parameterized as deep neural networks (DNNs). On many generative tasks, GANs achieve state-of-the-art performance but are often…

Machine Learning · Computer Science 2019-01-31 Babajide O. Ayinde , Keishin Nishihama , Jacek M. Zurada

Generative Adversarial Networks (GANs) are a recent advancement in unsupervised machine learning. They are a cat-and-mouse game between two neural networks: [1] a discriminator network which learns to validate whether a sample is real or…

Cosmology and Nongalactic Astrophysics · Physics 2020-06-23 Olivia Curtis , Tereasa G. Brainerd

We propose a higher-level associative memory for learning adversarial networks. Generative adversarial network (GAN) framework has a discriminator and a generator network. The generator (G) maps white noise (z) to data samples while the…

Machine Learning · Computer Science 2016-11-23 Tarik Arici , Asli Celikyilmaz

This paper analyzes the convergence and generalization of training a one-hidden-layer neural network when the input features follow the Gaussian mixture model consisting of a finite number of Gaussian distributions. Assuming the labels are…

Machine Learning · Computer Science 2023-01-30 Hongkang Li , Shuai Zhang , Meng Wang

Incomplete data are common in real-world applications. Sensors fail, records are inconsistent, and datasets collected from different sources often differ in scale, sampling rate, and quality. These differences create missing values that…

Machine Learning · Computer Science 2025-12-08 Zalish Mahmud , Anantaa Kotal , Aritran Piplai

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

Research on generalization bounds for deep networks seeks to give ways to predict test error using just the training dataset and the network parameters. While generalization bounds can give many insights about architecture design, training…

Machine Learning · Computer Science 2022-03-21 Yi Zhang , Arushi Gupta , Nikunj Saunshi , Sanjeev Arora

Training generative adversarial networks (GANs) with limited data is challenging because the discriminator is prone to overfitting. Previously proposed differentiable augmentation demonstrates improved data efficiency of training GANs.…

Machine Learning · Computer Science 2023-12-29 Liang Hou , Qi Cao , Yige Yuan , Songtao Zhao , Chongyang Ma , Siyuan Pan , Pengfei Wan , Zhongyuan Wang , Huawei Shen , Xueqi Cheng

Performing supervised learning from the data synthesized by using Generative Adversarial Networks (GANs), dubbed GAN-synthetic data, has two important applications. First, GANs may generate more labeled training data, which may help improve…

Machine Learning · Computer Science 2019-05-30 Fu-Chieh Chang , Hao-Jen Wang , Chun-Nan Chou , Edward Y. Chang

Generative adversarial networks (GANs) are emerging machine learning models for generating synthesized data similar to real data by jointly training a generator and a discriminator. In many applications, data and computational resources are…

Machine Learning · Computer Science 2021-07-20 Jinke Ren , Chonghe Liu , Guanding Yu , Dongning Guo

Generative Adversarial Networks (GANs) are a widely-used tool for generative modeling of complex data. Despite their empirical success, the training of GANs is not fully understood due to the min-max optimization of the generator and…

Machine Learning · Computer Science 2022-08-23 Evan Becker , Parthe Pandit , Sundeep Rangan , Alyson K. Fletcher

We study two important concepts in adversarial deep learning---adversarial training and generative adversarial network (GAN). Adversarial training is the technique used to improve the robustness of discriminator by combining adversarial…

Machine Learning · Computer Science 2019-04-17 Xuanqing Liu , Cho-Jui Hsieh

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

The fact that image datasets are often imbalanced poses an intense challenge for deep learning techniques. In this paper, we propose a method to restore the balance in imbalanced images, by coalescing two concurrent methods, generative…

Machine Learning · Computer Science 2020-04-09 Pourya Shamsolmoali , Masoumeh Zareapoor , Linlin Shen , Abdul Hamid Sadka , Jie Yang

The standard practice in Generative Adversarial Networks (GANs) discards the discriminator during sampling. However, this sampling method loses valuable information learned by the discriminator regarding the data distribution. In this work,…

Machine Learning · Computer Science 2019-11-25 Yuejiang Liu , Parth Kothari , Alexandre Alahi
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