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Generative adversarial networks (GANs) has gained tremendous popularity lately due to an ability to reinforce quality of its predictive model with generated objects and the quality of the generative model with and supervised feedback. GANs…

Computer Vision and Pattern Recognition · Computer Science 2017-05-31 Evgeny Zamyatin , Andrey Filchenkov

Optimal Mass Transport (OMT) is a well studied problem with a variety of applications in a diverse set of fields ranging from Physics to Computer Vision and in particular Statistics and Data Science. Since the original formulation of Monge…

Machine Learning · Computer Science 2021-10-26 Amanpreet Singh , Martin Bauer , Sarang Joshi

A complete representation of 3D objects requires characterizing the space of deformations in an interpretable manner, from articulations of a single instance to changes in shape across categories. In this work, we improve on a prior…

Computer Vision and Pattern Recognition · Computer Science 2023-03-21 Tristan Aumentado-Armstrong , Stavros Tsogkas , Sven Dickinson , Allan Jepson

In this paper, we introduce Random Path Generative Adversarial Network (RPGAN) -- an alternative design of GANs that can serve as a tool for generative model analysis. While the latent space of a typical GAN consists of input vectors,…

Computer Vision and Pattern Recognition · Computer Science 2020-02-19 Andrey Voynov , Artem Babenko

Matching a source to a target probability measure is often solved by instantiating a linear optimal transport (OT) problem, parameterized by a ground cost function that quantifies discrepancy between points. When these measures live in the…

Machine Learning · Computer Science 2023-11-27 Othmane Sebbouh , Marco Cuturi , Gabriel Peyré

Optimal transport (OT) theory underlies many emerging machine learning (ML) methods nowadays solving a wide range of tasks such as generative modeling, transfer learning and information retrieval. These latter works, however, usually build…

Machine Learning · Statistics 2021-12-03 Quang Huy Tran , Hicham Janati , Ievgen Redko , Rémi Flamary , Nicolas Courty

Encoding only the task-related information from the raw data, \ie, disentangled representation learning, can greatly contribute to the robustness and generalizability of models. Although significant advances have been made by regularizing…

Computer Vision and Pattern Recognition · Computer Science 2024-08-15 Zhuohang Dang , Minnan Luo , Chengyou Jia , Guang Dai , Jihong Wang , Xiaojun Chang , Jingdong Wang

Deep learning classifiers are now known to have flaws in the representations of their class. Adversarial attacks can find a human-imperceptible perturbation for a given image that will mislead a trained model. The most effective methods to…

Machine Learning · Computer Science 2021-05-19 Quentin Bouniot , Romaric Audigier , Angélique Loesch

We propose an information-theoretic knowledge distillation approach for the compression of generative adversarial networks, which aims to maximize the mutual information between teacher and student networks via a variational optimization…

Computer Vision and Pattern Recognition · Computer Science 2023-03-29 Minsoo Kang , Hyewon Yoo , Eunhee Kang , Sehwan Ki , Hyong-Euk Lee , Bohyung Han

Many problems in machine learning involve calculating correspondences between sets of objects, such as point clouds or images. Discrete optimal transport provides a natural and successful approach to such tasks whenever the two sets of…

Machine Learning · Statistics 2019-02-28 David Alvarez-Melis , Stefanie Jegelka , Tommi S. Jaakkola

Optimal Transport (OT) based distances are powerful tools for machine learning to compare probability measures and manipulate them using OT maps. In this field, a setting of interest is semi-discrete OT, where the source measure $\mu$ is…

Generative Adversarial Networks (GANs) are a type of generative model which have received much attention due to their ability to model complex real-world data. Despite their recent successes, the process of training GANs remains…

Machine Learning · Computer Science 2020-03-26 Maciej Wiatrak , Stefano V. Albrecht , Andrew Nystrom

Disentangled representation learning aims to capture the underlying explanatory factors of observed data, enabling a principled understanding of the data-generating process. Recent advances in generative modeling have introduced new…

Machine Learning · Computer Science 2026-05-12 Jinjin Chi , Taoping Liu , Mengtao Yin , Ximing Li , Yongcheng Jing , Jialie Shen , Leszek Rutkowski , Dacheng Tao

As recent generative models can generate photo-realistic images, people seek to understand the mechanism behind the generation process. Interpretable generation process is beneficial to various image editing applications. In this work, we…

Computer Vision and Pattern Recognition · Computer Science 2020-12-01 Yu-Ding Lu , Hsin-Ying Lee , Hung-Yu Tseng , Ming-Hsuan Yang

Deep neural networks (DNNs) often produce overconfident predictions on out-of-distribution (OOD) inputs, undermining their reliability in open-world environments. Singularities in semi-discrete optimal transport (OT) mark regions of…

Computer Vision and Pattern Recognition · Computer Science 2026-01-30 Keke Tang , Ziyong Du , Xiaofei Wang , Weilong Peng , Peican Zhu , Zhihong Tian

Generative adversarial networks (GAN) have been effective for learning generative models for real-world data. However, existing GANs (GAN and its variants) tend to suffer from training problems such as instability and mode collapse. In this…

Machine Learning · Computer Science 2018-03-05 Chaoyue Wang , Chang Xu , Xin Yao , Dacheng Tao

Recent advances in deep learning, such as powerful generative models and joint text-image embeddings, have provided the computational creativity community with new tools, opening new perspectives for artistic pursuits. Text-to-image…

Computer Vision and Pattern Recognition · Computer Science 2022-04-20 Yingtao Tian , Marco Cuturi , David Ha

Recent research has shown that it is possible to find interpretable directions in the latent spaces of pre-trained Generative Adversarial Networks (GANs). These directions enable controllable image generation and support a wide range of…

Machine Learning · Computer Science 2021-10-07 Oğuz Kaan Yüksel , Enis Simsar , Ezgi Gülperi Er , Pinar Yanardag

Unbalanced optimal transport (UOT) has recently gained much attention due to its flexible framework for handling un-normalized measures and its robustness properties. In this work, we explore learning (structured) sparse transport plans in…

Machine Learning · Computer Science 2025-02-03 Piyushi Manupriya , Pratik Jawanpuria , Karthik S. Gurumoorthy , SakethaNath Jagarlapudi , Bamdev Mishra

This paper addresses the practical challenge in Entropic Optimal Transport (EOT) where the underlying ground cost function is typically latent and unobserved. Rather than assuming a fixed geometric cost, we adopt a data-driven approach…

Optimization and Control · Mathematics 2026-05-13 Antoine Debouchage , Xiaozhen Wang , Zhenjie Ren , Francois Buet-Golfouse
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