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Generative adversarial networks (GANs) are an expressive class of neural generative models with tremendous success in modeling high-dimensional continuous measures. In this paper, we present a scalable method for unbalanced optimal…

Machine Learning · Computer Science 2019-08-06 Karren D. Yang , Caroline Uhler

The objective in statistical Optimal Transport (OT) is to consistently estimate the optimal transport plan/map solely using samples from the given source and target marginal distributions. This work takes the novel approach of posing…

Machine Learning · Computer Science 2020-11-11 J. Saketha Nath , Pratik Jawanpuria

Real-world image super-resolution (SR) tasks often do not have paired datasets, which limits the application of supervised techniques. As a result, the tasks are usually approached by unpaired techniques based on Generative Adversarial…

Image and Video Processing · Electrical Eng. & Systems 2025-07-09 Milena Gazdieva , Petr Mokrov , Litu Rout , Alexander Korotin , Andrey Kravchenko , Alexander Filippov , Evgeny Burnaev

Regularizing the optimal transport (OT) problem has proven crucial for OT theory to impact the field of machine learning. For instance, it is known that regularizing OT problems with entropy leads to faster computations and better…

Machine Learning · Statistics 2020-08-04 François-Pierre Paty , Marco Cuturi

Optimal Transport (OT) distances such as Wasserstein have been used in several areas such as GANs and domain adaptation. OT, however, is very sensitive to outliers (samples with large noise) in the data since in its objective function,…

Machine Learning · Computer Science 2020-10-13 Yogesh Balaji , Rama Chellappa , Soheil Feizi

We present Optimal Transport GAN (OT-GAN), a variant of generative adversarial nets minimizing a new metric measuring the distance between the generator distribution and the data distribution. This metric, which we call mini-batch energy…

Machine Learning · Computer Science 2018-03-16 Tim Salimans , Han Zhang , Alec Radford , Dimitris Metaxas

Though generative adversarial networks (GANs) areprominent models to generate realistic and crisp images,they often encounter the mode collapse problems and arehard to train, which comes from approximating the intrinsicdiscontinuous…

Computer Vision and Pattern Recognition · Computer Science 2020-01-28 Dongsheng An , Yang Guo , Min Zhang , Xin Qi , Na Lei , Shing-Tung Yau , Xianfeng Gu

Local differential privacy is a powerful method for privacy-preserving data collection. In this paper, we develop a framework for training Generative Adversarial Networks (GANs) on differentially privatized data. We show that entropic…

Machine Learning · Computer Science 2024-03-04 Daria Reshetova , Wei-Ning Chen , Ayfer Özgür

Variational Auto-Encoders enforce their learned intermediate latent-space data distribution to be a simple distribution, such as an isotropic Gaussian. However, this causes the posterior collapse problem and loses manifold structure which…

Machine Learning · Computer Science 2018-09-18 Huidong Liu , Yang Guo , Na Lei , Zhixin Shu , Shing-Tung Yau , Dimitris Samaras , Xianfeng Gu

Modern implicit generative models such as generative adversarial networks (GANs) are generally known to suffer from issues such as instability, uninterpretability, and difficulty in assessing their performance. If we see these implicit…

Machine Learning · Statistics 2019-11-05 Arash Mehrjou , Wittawat Jitkrittum , Krikamol Muandet , Bernhard Schölkopf

Modern implicit generative models such as generative adversarial networks (GANs) are generally known to suffer from issues such as instability, uninterpretability, and difficulty in assessing their performance. If we see these implicit…

Machine Learning · Computer Science 2019-11-07 Arash Mehrjou , Wittawat Jitkrittum , Krikamol Muandet , Bernhard Schölkopf

Generative Adversarial Networks (GANs) are one of the most practical methods for learning data distributions. A popular GAN formulation is based on the use of Wasserstein distance as a metric between probability distributions.…

Machine Learning · Computer Science 2018-05-23 Maziar Sanjabi , Jimmy Ba , Meisam Razaviyayn , Jason D. Lee

With the discovery of Wasserstein GANs, Optimal Transport (OT) has become a powerful tool for large-scale generative modeling tasks. In these tasks, OT cost is typically used as the loss for training GANs. In contrast to this approach, we…

Machine Learning · Computer Science 2022-03-08 Litu Rout , Alexander Korotin , Evgeny Burnaev

The Generative Adversarial Networks (GAN) framework is a well-established paradigm for probability matching and realistic sample generation. While recent attention has been devoted to studying the theoretical properties of such models, a…

Machine Learning · Statistics 2020-07-30 Giulia Luise , Massimiliano Pontil , Carlo Ciliberto

Optimal transport (OT) is a widely used technique for distribution alignment, with applications throughout the machine learning, graphics, and vision communities. Without any additional structural assumptions on trans-port, however, OT can…

Machine Learning · Computer Science 2021-07-20 Chi-Heng Lin , Mehdi Azabou , Eva L. Dyer

Many machine learning methods have been recently developed to circumvent the high computational cost of the gradient-based topology optimization. These methods typically require extensive and costly datasets for training, have a difficult…

Machine Learning · Computer Science 2021-05-10 Mohammad Mahdi Behzadi , Horea T. Ilies

Optimal Transport (OT) problem aims to find a transport plan that bridges two distributions while minimizing a given cost function. OT theory has been widely utilized in generative modeling. In the beginning, OT distance has been used as a…

Machine Learning · Computer Science 2024-03-08 Jaemoo Choi , Jaewoong Choi , Myungjoo Kang

Optimal transport (OT) aims to find a map $T$ that transports mass from one probability measure to another while minimizing a cost function. Recently, neural OT solvers have gained popularity in high dimensional biological applications such…

Machine Learning · Computer Science 2025-05-20 Peter Chen , Yue Xie , Qingpeng Zhang

Generative Adversarial Networks (GANs) have achieved remarkable results in the task of generating realistic natural images. In most successful applications, GAN models share two common aspects: solving a challenging saddle point…

Machine Learning · Statistics 2019-05-21 Piotr Bojanowski , Armand Joulin , David Lopez-Paz , Arthur Szlam

This paper addresses the classic problem of regression, which involves the inductive learning of a map, $y=f(x,z)$, $z$ denoting noise, $f:\mathbb{R}^n\times \mathbb{R}^k \rightarrow \mathbb{R}^m$. Recently, Conditional GAN (CGAN) has been…

Machine Learning · Computer Science 2020-03-04 Saurav Manchanda , Khoa Doan , Pranjul Yadav , S. Sathiya Keerthi
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