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Generative adversarial networks (GANs) have proven successful in image generation tasks. However, GAN training is inherently unstable. Although many works try to stabilize it by manually modifying GAN architecture, it requires much…

Computer Vision and Pattern Recognition · Computer Science 2022-07-13 Guohao Ying , Xin He , Bin Gao , Bo Han , Xiaowen Chu

Although Generative Adversarial Networks achieve state-of-the-art results on a variety of generative tasks, they are regarded as highly unstable and prone to miss modes. We argue that these bad behaviors of GANs are due to the very…

Machine Learning · Computer Science 2017-03-03 Tong Che , Yanran Li , Athul Paul Jacob , Yoshua Bengio , Wenjie Li

We present an alternative perspective on the training of generative adversarial networks (GANs), showing that the training step for a GAN generator decomposes into two implicit subproblems. In the first, the discriminator provides new…

Machine Learning · Computer Science 2021-05-13 Romann M. Weber

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

Generative adversarial networks (GANs) learn a target probability distribution by optimizing a generator and a discriminator with minimax objectives. This paper addresses the question of whether such optimization actually provides the…

Machine Learning · Computer Science 2024-04-11 Yuhta Takida , Masaaki Imaizumi , Takashi Shibuya , Chieh-Hsin Lai , Toshimitsu Uesaka , Naoki Murata , Yuki Mitsufuji

Generative adversarial nets (GANs) have become a preferred tool for tasks involving complicated distributions. To stabilise the training and reduce the mode collapse of GANs, one of their main variants employs the integral probability…

Machine Learning · Computer Science 2020-10-27 Shengxi Li , Zeyang Yu , Min Xiang , Danilo Mandic

The Generative Adversarial Network (GAN) was recently introduced in the literature as a novel machine learning method for training generative models. It has many applications in statistics such as nonparametric clustering and nonparametric…

Machine Learning · Statistics 2023-06-26 Sehwan Kim , Qifan Song , Faming Liang

Building on the success of deep learning, Generative Adversarial Networks (GANs) provide a modern approach to learn a probability distribution from observed samples. GANs are often formulated as a zero-sum game between two sets of…

Machine Learning · Computer Science 2020-09-28 Pirazh Khorramshahi , Hossein Souri , Rama Chellappa , Soheil Feizi

We introduce the Probabilistic Generative Adversarial Network (PGAN), a new GAN variant based on a new kind of objective function. The central idea is to integrate a probabilistic model (a Gaussian Mixture Model, in our case) into the GAN…

Machine Learning · Computer Science 2017-08-08 Hamid Eghbal-zadeh , Gerhard Widmer

Generative Adversarial Networks (GANs) are a class of generative models used for various applications, but they have been known to suffer from the mode collapse problem, in which some modes of the target distribution are ignored by the…

Computer Vision and Pattern Recognition · Computer Science 2021-12-30 Karttikeya Mangalam , Rohin Garg

We present a mathematically well founded approach for the synthetic modeling of turbulent flows using generative adversarial networks (GAN). Based on the analysis of chaotic, deterministic systems in terms of ergodicity, we outline a…

Fluid Dynamics · Physics 2022-03-23 Claudia Drygala , Benjamin Winhart , Francesca di Mare , Hanno Gottschalk

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

Generative adversarial networks (GANs) while being very versatile in realistic image synthesis, still are sensitive to the input distribution. Given a set of data that has an imbalance in the distribution, the networks are susceptible to…

Computer Vision and Pattern Recognition · Computer Science 2018-02-05 Shashank Sharma , Vinay P. Namboodiri

Generative Adversarial Networks (GANs) have demonstrated unprecedented success in various image generation tasks. The encouraging results, however, come at the price of a cumbersome training process, during which the generator and…

Computer Vision and Pattern Recognition · Computer Science 2021-06-17 Chengchao Shen , Youtan Yin , Xinchao Wang , Xubin Li , Jie Song , Mingli Song

Deep generative models require large amounts of training data. This often poses a problem as the collection of datasets can be expensive and difficult, in particular datasets that are representative of the appropriate underlying…

Computer Vision and Pattern Recognition · Computer Science 2023-12-22 Anubhav Jain , Nasir Memon , Julian Togelius

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

Generative adversarial networks are generative models that are capable of replicating the implicit probability distribution of the input data with high accuracy. Traditionally, GANs consist of a Generator and a Discriminator which interact…

Machine Learning · Computer Science 2022-11-15 Xin Wang

Recently, semi-supervised learning methods based on generative adversarial networks (GANs) have received much attention. Among them, two distinct approaches have achieved competitive results on a variety of benchmark datasets. Bad GAN…

Machine Learning · Computer Science 2019-05-20 Wenyuan Li , Zichen Wang , Jiayun Li , Jennifer Polson , William Speier , Corey Arnold

Generative adversarial networks (GANs) are designed with the help of min-max optimization problems that are solved with stochastic gradient-type algorithms which are known to be non-robust. In this work we revisit a non-adversarial method…

Machine Learning · Computer Science 2018-11-26 Kalliopi Basioti , George V. Moustakides , Emmanouil Z. Psarakis

We present a general computational framework for solving continuous-time financial market equilibria under minimal modeling assumptions while incorporating realistic financial frictions, such as trading costs, and supporting multiple…

Mathematical Finance · Quantitative Finance 2025-04-08 Anastasis Kratsios , Xiaofei Shi , Qiang Sun , Zhanhao Zhang