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Computing optimal transport maps between high-dimensional and continuous distributions is a challenging problem in optimal transport (OT). Generative adversarial networks (GANs) are powerful generative models which have been successfully…

Machine Learning · Computer Science 2019-06-25 Jacob Leygonie , Jennifer She , Amjad Almahairi , Sai Rajeswar , Aaron Courville

Generative adversarial networks (GANs) are a powerful approach to unsupervised learning. They have achieved state-of-the-art performance in the image domain. However, GANs are limited in two ways. They often learn distributions with low…

Machine Learning · Statistics 2019-10-11 Adji B. Dieng , Francisco J. R. Ruiz , David M. Blei , Michalis K. Titsias

Generative adversarial network (GAN) is a framework for generating fake data using a set of real examples. However, GAN is unstable in the training stage. In order to stabilize GANs, the noise injection has been used to enlarge the overlap…

Machine Learning · Computer Science 2022-08-02 Kensuke Nakamura , Simon Korman , Byung-Woo Hong

With great progress in the development of Generative Adversarial Networks (GANs), in recent years, the quest for insights in understanding and manipulating the latent space of GAN has gained more and more attention due to its wide range of…

Machine Learning · Computer Science 2021-02-25 Toan Pham Van , Tam Minh Nguyen , Ngoc N. Tran , Hoai Viet Nguyen , Linh Bao Doan , Huy Quang Dao , Thanh Ta Minh

In disentangled representation learning, a model is asked to tease apart a dataset's underlying sources of variation and represent them independently of one another. Since the model is provided with no ground truth information about these…

Machine Learning · Computer Science 2023-10-24 Kyle Hsu , Will Dorrell , James C. R. Whittington , Jiajun Wu , Chelsea Finn

Scalability has driven recent advances in generative modeling, yet its principles remain underexplored for adversarial learning. We investigate the scalability of Generative Adversarial Networks (GANs) through two design choices that have…

Computer Vision and Pattern Recognition · Computer Science 2026-05-27 Sangeek Hyun , MinKyu Lee , Jae-Pil Heo

Implicit generative models are difficult to train as no explicit density functions are defined. Generative adversarial nets (GANs) present a minimax framework to train such models, which however can suffer from mode collapse due to the…

Machine Learning · Computer Science 2020-06-25 Chao Du , Kun Xu , Chongxuan Li , Jun Zhu , Bo Zhang

We present a novel method and analysis to train generative adversarial networks (GAN) in a stable manner. As shown in recent analysis, training is often undermined by the probability distribution of the data being zero on neighborhoods of…

Computer Vision and Pattern Recognition · Computer Science 2019-09-18 Simon Jenni , Paolo Favaro

Neural network-based optimal transport (OT) is a recent and fruitful direction in the generative modeling community. It finds its applications in various fields such as domain translation, image super-resolution, computational biology and…

Machine Learning · Computer Science 2026-02-25 Roman Tarasov , Petr Mokrov , Milena Gazdieva , Evgeny Burnaev , Alexander Korotin

Optimal Transport (OT) problem investigates a transport map that bridges two distributions while minimizing a given cost function. In this regard, OT between tractable prior distribution and data has been utilized for generative modeling…

Computer Vision and Pattern Recognition · Computer Science 2024-02-07 Jaemoo Choi , Jaewoong Choi , Myungjoo Kang

Generative adversarial networks (GANs) have proven to be surprisingly efficient for image editing by inverting and manipulating the latent code corresponding to an input real image. This editing property emerges from the disentangled nature…

Computer Vision and Pattern Recognition · Computer Science 2022-07-01 Mustafa Shukor , Xu Yao , Bharath Bushan Damodaran , Pierre Hellier

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

Transport systems on networks are crucial in various applications, but face a significant risk of being adversely affected by unforeseen circumstances such as disasters. The application of entropy-regularized optimal transport (OT) on graph…

Machine Learning · Computer Science 2025-05-07 Koshi Oishi , Yota Hashizume , Tomohiko Jimbo , Hirotaka Kaji , Kenji Kashima

Generative adversarial networks are the state of the art approach towards learned synthetic image generation. Although early successes were mostly unsupervised, bit by bit, this trend has been superseded by approaches based on labelled…

Computer Vision and Pattern Recognition · Computer Science 2020-12-17 Ricard Durall , Kalun Ho , Franz-Josef Pfreundt , Janis Keuper

In recent years, unsupervised/weakly-supervised conditional generative adversarial networks (GANs) have achieved many successes on the task of modeling and generating data. However, one of their weaknesses lies in their poor ability to…

Machine Learning · Computer Science 2022-03-08 Zehao Wang , Kaili Wang , Tinne Tuytelaars , Jose Oramas

We propose a new GAN-based unsupervised model for disentangled representation learning. The new model is discovered in an attempt to utilize the Information Bottleneck (IB) framework to the optimization of GAN, thereby named IB-GAN. The…

Computer Vision and Pattern Recognition · Computer Science 2025-10-24 Insu Jeon , Wonkwang Lee , Myeongjang Pyeon , Gunhee Kim

In this paper, we present Super-OT, a novel approach to computational lineage tracing that combines a supervised learning framework with optimal transport based on Generative Adversarial Networks (GANs). Unlike previous approaches to…

Machine Learning · Computer Science 2022-01-06 Neha Prasad , Karren Yang , Caroline Uhler

Remarkable progress has been achieved in synthesizing photo-realistic images with generative adversarial networks (GANs). Recently, GANs are utilized as the training sample generator when obtaining or storing real training data is expensive…

Machine Learning · Computer Science 2022-12-22 Bo Zhao , Hakan Bilen

Within the framework of generative adversarial networks (GANs), we propose objectives that task the discriminator for self-supervised representation learning via additional structural modeling responsibilities. In combination with an…

Computer Vision and Pattern Recognition · Computer Science 2023-10-05 Xiao Zhang , Michael Maire

The unsupervised task of aligning two or more distributions in a shared latent space has many applications including fair representations, batch effect mitigation, and unsupervised domain adaptation. Existing flow-based approaches estimate…

Machine Learning · Computer Science 2022-03-17 Zeyu Zhou , Ziyu Gong , Pradeep Ravikumar , David I. Inouye