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The use of optimal transport cost for learning generative models has become popular with Wasserstein Generative Adversarial Networks (WGAN). Training of WGAN relies on a theoretical background: the calculation of the gradient of the optimal…

Machine Learning · Statistics 2024-04-04 Antoine Houdard , Arthur Leclaire , Nicolas Papadakis , Julien Rabin

Generative Adversarial Networks (GANs) have been used to model the underlying probability distribution of sample based datasets. GANs are notoriuos for training difficulties and their dependence on arbitrary hyperparameters. One recent…

Machine Learning · Computer Science 2019-10-03 Thomas Pinetz , Daniel Soukup , Thomas Pock

In robotics, it is essential to be able to plan efficiently in high-dimensional continuous state-action spaces for long horizons. For such complex planning problems, unguided uniform sampling of actions until a path to a goal is found is…

Artificial Intelligence · Computer Science 2017-11-08 Beomjoon Kim , Leslie Pack Kaelbling , Tomas Lozano-Perez

In this study, a novel topology optimization approach based on conditional Wasserstein generative adversarial networks (CWGAN) is developed to replicate the conventional topology optimization algorithms in an extremely computationally…

Machine Learning · Computer Science 2019-01-16 Sharad Rawat , M. -H. Herman Shen

Generative adversarial networks (GANs) have received a tremendous amount of attention in the past few years, and have inspired applications addressing a wide range of problems. Despite its great potential, GANs are difficult to train.…

Machine Learning · Computer Science 2017-05-09 Zhimin Chen , Yuguang Tong

To achieve autonomous driving without high-definition maps, we present a model capable of generating multiple plausible paths from egocentric images for autonomous vehicles. Our generative model comprises two neural networks: the feature…

Computer Vision and Pattern Recognition · Computer Science 2021-03-04 Dooseop Choi , Seung-jun Han , Kyoungwook Min , Jeongdan Choi

Attributing the pixels of an input image to a certain category is an important and well-studied problem in computer vision, with applications ranging from weakly supervised localisation to understanding hidden effects in the data. In recent…

Computer Vision and Pattern Recognition · Computer Science 2018-06-27 Christian F. Baumgartner , Lisa M. Koch , Kerem Can Tezcan , Jia Xi Ang , Ender Konukoglu

Efficient navigation through uneven terrain remains a challenging endeavor for autonomous robots. We propose a new geometric-based uneven terrain mapless navigation framework combining a Sparse Gaussian Process (SGP) local map with a…

Robotics · Computer Science 2024-03-29 Abe Leininger , Mahmoud Ali , Hassan Jardali , Lantao Liu

Sampling-based path planning algorithms play an important role in autonomous robotics. However, a common problem among these algorithms is that the initial path generated is not optimal, and the convergence is too slow for real-world…

Robotics · Computer Science 2025-07-22 Abhinav Sagar , Sai Teja Gilukara

Generative Adversarial Networks (GANs) have become a very popular tool for implicitly learning high-dimensional probability distributions. Several improvements have been made to the original GAN formulation to address some of its…

Computer Vision and Pattern Recognition · Computer Science 2019-11-11 Parimala Kancharla , Sumohana S. Channappayya

Generative adversarial networks (GANs) are a widely used framework for learning generative models. Wasserstein GANs (WGANs), one of the most successful variants of GANs, require solving a minmax optimization problem to global optimality,…

Machine Learning · Computer Science 2020-07-03 Qi Lei , Jason D. Lee , Alexandros G. Dimakis , Constantinos Daskalakis

The extension of image generation to video generation turns out to be a very difficult task, since the temporal dimension of videos introduces an extra challenge during the generation process. Besides, due to the limitation of memory and…

Computer Vision and Pattern Recognition · Computer Science 2018-12-07 Dinesh Acharya , Zhiwu Huang , Danda Pani Paudel , Luc Van Gool

Recent advancements in real image editing have been attributed to the exploration of Generative Adversarial Networks (GANs) latent space. However, the main challenge of this procedure is GAN inversion, which aims to map the image to the…

Computer Vision and Pattern Recognition · Computer Science 2023-09-01 Egor Sevriugov , Ivan Oseledets

A new Wasserstein multi-element polynomial chaos expansion (WPCE) is proposed, which is inspired by recent advances in computational optimal transport for estimating Wasserstein distances. The developed method combines unsupervised learning…

Numerical Analysis · Mathematics 2024-10-17 Robert Gruhlke , Martin Eigel

Generative Adversarial Networks (GANs) have been successful in producing outstanding results in areas as diverse as image, video, and text generation. Building on these successes, a large number of empirical studies have validated the…

Machine Learning · Computer Science 2021-06-21 Gérard Biau , Maxime Sangnier , Ugo Tanielian

In many real-world applications of Machine Learning it is of paramount importance not only to provide accurate predictions, but also to ensure certain levels of robustness. Adversarial Training is a training procedure aiming at providing…

Machine Learning · Computer Science 2019-10-09 Matteo Terzi , Gian Antonio Susto , Pratik Chaudhari

Generative adversarial networks (GANs) have been extremely successful in generating samples, from seemingly high dimensional probability measures. However, these methods struggle to capture the temporal dependence of joint probability…

Machine Learning · Computer Science 2025-08-26 Shujian Liao , Hao Ni , Lukasz Szpruch , Magnus Wiese , Marc Sabate-Vidales , Baoren Xiao

We introduce Primal-Dual Wasserstein GAN, a new learning algorithm for building latent variable models of the data distribution based on the primal and the dual formulations of the optimal transport (OT) problem. We utilize the primal…

Machine Learning · Statistics 2018-05-25 Mevlana Gemici , Zeynep Akata , Max Welling

Generative models based on latent variables, such as generative adversarial networks (GANs) and variational auto-encoders (VAEs), have gained lots of interests due to their impressive performance in many fields. However, many data such as…

Machine Learning · Statistics 2024-09-30 Yixuan Qiu , Qingyi Gao , Xiao Wang

In this paper, we study the problem of learning compact (low-dimensional) representations for sequential data that captures its implicit spatio-temporal cues. To maximize extraction of such informative cues from the data, we set the problem…

Machine Learning · Computer Science 2020-07-14 Anoop Cherian , Shuchin Aeron