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Related papers: A Wasserstein perspective of Vanilla GANs

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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 Network (GAN) is a current focal point of research. The body of knowledge is fragmented, leading to a trial-error method while selecting an appropriate GAN for a given scenario. We provide a comprehensive summary of…

Machine Learning · Computer Science 2021-05-18 Tanya Motwani , Manojkumar Parmar

In this paper, we introduce a new CT image denoising method based on the generative adversarial network (GAN) with Wasserstein distance and perceptual similarity. The Wasserstein distance is a key concept of the optimal transform theory,…

Computer Vision and Pattern Recognition · Computer Science 2018-07-17 Qingsong Yang , Pingkun Yan , Yanbo Zhang , Hengyong Yu , Yongyi Shi , Xuanqin Mou , Mannudeep K. Kalra , Ge Wang

Mutual information maximization has emerged as a powerful learning objective for unsupervised representation learning obtaining state-of-the-art performance in applications such as object recognition, speech recognition, and reinforcement…

Machine Learning · Computer Science 2019-03-29 Sherjil Ozair , Corey Lynch , Yoshua Bengio , Aaron van den Oord , Sergey Levine , Pierre Sermanet

Generative Adversarial Networks (GANs) have shown impressive results in various image synthesis tasks. Vast studies have demonstrated that GANs are more powerful in feature and expression learning compared to other generative models and…

Computer Vision and Pattern Recognition · Computer Science 2025-04-09 Omar De Mitri , Ruyu Wang , Marco F. Huber

Given any deep fully connected neural network, initialized with random Gaussian parameters, we bound from above the quadratic Wasserstein distance between its output distribution and a suitable Gaussian process. Our explicit inequalities…

Machine Learning · Computer Science 2023-09-25 Andrea Basteri , Dario Trevisan

Generative adversarial networks (GANs) with clustered latent spaces can perform conditional generation in a completely unsupervised manner. In the real world, the salient attributes of unlabeled data can be imbalanced. However, most of…

Machine Learning · Computer Science 2022-03-16 Uiwon Hwang , Heeseung Kim , Dahuin Jung , Hyemi Jang , Hyungyu Lee , Sungroh Yoon

Generative Adversarial Networks (GANs) have achieved remarkable achievements in image synthesis. These successes of GANs rely on large scale datasets, requiring too much cost. With limited training data, how to stable the training process…

Computer Vision and Pattern Recognition · Computer Science 2022-10-11 Ziqiang Li , Beihao Xia , Jing Zhang , Chaoyue Wang , Bin Li

Lack of ground-truth MR images impedes the common supervised training of neural networks for image reconstruction. To cope with this challenge, this paper leverages unpaired adversarial training for reconstruction networks, where the inputs…

Image and Video Processing · Electrical Eng. & Systems 2021-05-14 Ke Lei , Morteza Mardani , John M. Pauly , Shreyas S. Vasanawala

Generative adversarial networks (GANs) have emerged as a powerful unsupervised method to model the statistical patterns of real-world data sets, such as natural images. These networks are trained to map random inputs in their latent space…

Machine Learning · Computer Science 2021-03-19 Binxu Wang , Carlos R. Ponce

One of the main challenges in the parametrization of geological models is the ability to capture complex geological structures often observed in the subsurface. In recent years, generative adversarial networks (GAN) were proposed as an…

Machine Learning · Statistics 2019-04-10 Shing Chan , Ahmed H. Elsheikh

Generative adversarial networks (GANs) have attracted intense interest in the field of generative models. However, few investigations focusing either on the theoretical analysis or on algorithm design for the approximation ability of the…

Machine Learning · Computer Science 2020-07-14 Xuejiao Liu , Yao Xu , Xueshuang Xiang

Predicting the Stock movement attracts much attention from both industry and academia. Despite such significant efforts, the results remain unsatisfactory due to the inherently complicated nature of the stock market driven by factors…

Statistical Finance · Quantitative Finance 2023-03-01 Jingyi Gu , Fadi P. Deek , Guiling Wang

We study minimax convergence rates of nonparametric density estimation under a large class of loss functions called "adversarial losses", which, besides classical $\mathcal{L}^p$ losses, includes maximum mean discrepancy (MMD), Wasserstein…

Statistics Theory · Mathematics 2018-10-30 Shashank Singh , Ananya Uppal , Boyue Li , Chun-Liang Li , Manzil Zaheer , Barnabás Póczos

The Wasserstein distance is a distance between two probability distributions and has recently gained increasing popularity in statistics and machine learning, owing to its attractive properties. One important approach to extending this…

Methodology · Statistics 2022-02-14 Ryo Okano , Masaaki Imaizumi

In this paper, we study a physics-informed algorithm for Wasserstein Generative Adversarial Networks (WGANs) for uncertainty quantification in solutions of partial differential equations. By using groupsort activation functions in…

Numerical Analysis · Mathematics 2022-08-10 Yihang Gao , Michael K. Ng

We investigate the training and performance of generative adversarial networks using the Maximum Mean Discrepancy (MMD) as critic, termed MMD GANs. As our main theoretical contribution, we clarify the situation with bias in GAN loss…

Machine Learning · Statistics 2021-01-15 Mikołaj Bińkowski , Danica J. Sutherland , Michael Arbel , Arthur Gretton

We propose a new equilibrium enforcing method paired with a loss derived from the Wasserstein distance for training auto-encoder based Generative Adversarial Networks. This method balances the generator and discriminator during training.…

Machine Learning · Computer Science 2017-06-02 David Berthelot , Thomas Schumm , Luke Metz

Adversarial examples are crafted by adding indistinguishable perturbations to normal examples in order to fool a well-trained deep learning model to misclassify. In the context of computer vision, this notion of indistinguishability is…

Machine Learning · Computer Science 2023-03-23 Wenjie Wang , Li Xiong , Jian Lou

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