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Optimal transport (OT) is a powerful tool in mathematics and data science but faces severe computational and statistical challenges in high dimensions. We propose convex relaxation approaches based on marginal and cluster moment relaxations…

Optimization and Control · Mathematics 2025-11-25 Yuehaw Khoo , Tianyun Tang

In recent years, Generative Adversarial Networks (GAN) have emerged as a powerful method for learning the mapping from noisy latent spaces to realistic data samples in high-dimensional space. So far, the development and application of GANs…

Machine Learning · Statistics 2018-01-30 Atanas Mirchev , Seyed-Ahmad Ahmadi

Deep neural networks are easily fooled by small perturbations known as adversarial attacks. Adversarial Training (AT) is a technique aimed at learning features robust to such attacks and is widely regarded as a very effective defense.…

Machine Learning · Computer Science 2020-09-11 Theodoros Tsiligkaridis , Jay Roberts

In this paper, we propose Orthogonal Generative Adversarial Networks (O-GANs). We decompose the network of discriminator orthogonally and add an extra loss into the objective of common GANs, which can enforce discriminator become an…

Computer Vision and Pattern Recognition · Computer Science 2019-03-06 Jianlin Su

Conditional generation is a subclass of generative problems where the output of the generation is conditioned by the attribute information. In this paper, we present a stochastic contrastive conditional generative adversarial network…

Computer Vision and Pattern Recognition · Computer Science 2021-12-20 Vitaliy Kinakh , Mariia Drozdova , Guillaume Quétant , Tobias Golling , Slava Voloshynovskiy

Generative Adversarial Networks (GANs) can synthesize realistic images, with the learned latent space shown to encode rich semantic information with various interpretable directions. However, due to the unstructured nature of the learned…

Computer Vision and Pattern Recognition · Computer Science 2023-10-11 Zikun Chen , Han Zhao , Parham Aarabi , Ruowei Jiang

Generative adversarial networks (GANs) are a class of machine-learning models that use adversarial training to generate new samples with the same (potentially very complex) statistics as the training samples. One major form of training…

Disordered Systems and Neural Networks · Physics 2022-12-12 Steven Durr , Youssef Mroueh , Yuhai Tu , Shenshen Wang

Popular generative model learning methods such as Generative Adversarial Networks (GANs), and Variational Autoencoders (VAE) enforce the latent representation to follow simple distributions such as isotropic Gaussian. In this paper, we…

Machine Learning · Computer Science 2018-03-15 Cem Subakan , Oluwasanmi Koyejo , Paris Smaragdis

The ability to compare two degenerate probability distributions (i.e. two probability distributions supported on two distinct low-dimensional manifolds living in a much higher-dimensional space) is a crucial problem arising in the…

Machine Learning · Statistics 2017-10-23 Aude Genevay , Gabriel Peyré , Marco Cuturi

Generative adversarial networks (GANs)successfully generate high quality data by learning amapping from a latent vector to the data. Various studies assert that the latent space of a GAN is semanticallymeaningful and can be utilized for…

Computer Vision and Pattern Recognition · Computer Science 2020-03-06 Duhyeon Bang , Seoungyoon Kang , Hyunjung Shim

Generative adversarial networks (GANs) are a powerful framework for generative tasks. However, they are difficult to train and tend to miss modes of the true data generation process. Although GANs can learn a rich representation of the…

Machine Learning · Computer Science 2017-11-27 Robin Winter , Djork-Arné Clevert

In recent years, the field of intelligent transportation has witnessed rapid advancements, driven by the increasing demand for automation and efficiency in transportation systems. Traffic safety, one of the tasks integral to intelligent…

Computer Vision and Pattern Recognition · Computer Science 2023-10-09 Wei Zhao , Qiyu Wei , Zeng Zeng

Recently, deep learning approaches for accelerated MRI have been extensively studied thanks to their high performance reconstruction in spite of significantly reduced runtime complexity. These neural networks are usually trained in a…

Image and Video Processing · Electrical Eng. & Systems 2020-09-01 Gyutaek Oh , Byeongsu Sim , Hyungjin Chung , Leonard Sunwoo , Jong Chul Ye

Bayesian inference on structured models typically relies on the ability to infer posterior distributions of underlying hidden variables. However, inference in implicit models or complex posterior distributions is hard. A popular tool for…

Machine Learning · Statistics 2016-12-16 Theofanis Karaletsos

Effective interaction modeling and behavior prediction of dynamic agents play a significant role in interactive motion planning for autonomous robots. Although existing methods have improved prediction accuracy, few research efforts have…

Robotics · Computer Science 2024-01-09 Victoria M. Dax , Jiachen Li , Enna Sachdeva , Nakul Agarwal , Mykel J. Kochenderfer

Wasserstein Generative Adversarial Networks (WGANs) are the popular generative models built on the theory of Optimal Transport (OT) and the Kantorovich duality. Despite the success of WGANs, it is still unclear how well the underlying OT…

Machine Learning · Computer Science 2023-01-10 Alexander Korotin , Alexander Kolesov , Evgeny Burnaev

Deep generative frameworks including GANs and normalizing flow models have proven successful at filling in missing values in partially observed data samples by effectively learning -- either explicitly or implicitly -- complex,…

Machine Learning · Computer Science 2021-04-06 Edgar A. Bernal

Combining Generative Adversarial Networks (GANs) with encoders that learn to encode data points has shown promising results in learning data representations in an unsupervised way. We propose a framework that combines an encoder and a…

Computer Vision and Pattern Recognition · Computer Science 2018-03-08 Tobias Hinz , Stefan Wermter

The interaction data used by recommender systems (RSs) inevitably include noises resulting from mistaken or exploratory clicks, especially under implicit feedbacks. Without proper denoising, RS models cannot effectively capture users'…

Information Retrieval · Computer Science 2022-04-20 Yanchao Tan , Carl Yang Member , Xiangyu Wei , Ziyue Wu , Xiaolin Zheng

Generative Adversarial Networks (GANs) have been widely applied in modeling diverse image distributions. However, despite its impressive applications, the structure of the latent space in GANs largely remains as a black-box, leaving its…

Computer Vision and Pattern Recognition · Computer Science 2022-09-05 Zikun Chen , Ruowei Jiang , Brendan Duke , Han Zhao , Parham Aarabi