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We study two important concepts in adversarial deep learning---adversarial training and generative adversarial network (GAN). Adversarial training is the technique used to improve the robustness of discriminator by combining adversarial…

Machine Learning · Computer Science 2019-04-17 Xuanqing Liu , Cho-Jui Hsieh

We develop a novel method for training of GANs for unsupervised and class conditional generation of images, called Linear Discriminant GAN (LD-GAN). The discriminator of an LD-GAN is trained to maximize the linear separability between…

Machine Learning · Statistics 2017-07-26 Zhun Sun , Mete Ozay , Takayuki Okatani

As a kind of generative self-supervised learning methods, generative adversarial nets have been widely studied in the field of anomaly detection. However, the representation learning ability of the generator is limited since it pays too…

Computer Vision and Pattern Recognition · Computer Science 2021-07-28 Xuan Xia , Xizhou Pan , Xing He , Jingfei Zhang , Ning Ding , Lin Ma

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

Recent studies have demonstrated the vulnerability of deep convolutional neural networks against adversarial examples. Inspired by the observation that the intrinsic dimension of image data is much smaller than its pixel space dimension and…

Computer Vision and Pattern Recognition · Computer Science 2021-11-19 Yao Li , Martin Renqiang Min , Wenchao Yu , Cho-Jui Hsieh , Thomas C. M. Lee , Erik Kruus

Diffusion models have demonstrated strong performance in sampling and editing multi-modal data with high generation quality, yet they suffer from the iterative generation process which is computationally expensive and slow. In addition,…

Computer Vision and Pattern Recognition · Computer Science 2024-06-19 Xinrui Zu , Qian Tao

We introduce effective training algorithms for Generative Adversarial Networks (GAN) to alleviate mode collapse and gradient vanishing. In our system, we constrain the generator by an Autoencoder (AE). We propose a formulation to consider…

Computer Vision and Pattern Recognition · Computer Science 2018-12-18 Ngoc-Trung Tran , Tuan-Anh Bui , Ngai-Man Cheung

Recent advances in label assignment in object detection mainly seek to independently define positive/negative training samples for each ground-truth (gt) object. In this paper, we innovatively revisit the label assignment from a global…

Computer Vision and Pattern Recognition · Computer Science 2021-03-29 Zheng Ge , Songtao Liu , Zeming Li , Osamu Yoshie , Jian Sun

Training generative adversarial networks (GANs) with limited data is challenging because the discriminator is prone to overfitting. Previously proposed differentiable augmentation demonstrates improved data efficiency of training GANs.…

Machine Learning · Computer Science 2023-12-29 Liang Hou , Qi Cao , Yige Yuan , Songtao Zhao , Chongyang Ma , Siyuan Pan , Pengfei Wan , Zhongyuan Wang , Huawei Shen , Xueqi Cheng

Distributed distribution comparison aims to measure the distance between the distributions whose data are scattered across different agents in a distributed system and cannot even be shared directly among the agents. In this study, we…

Machine Learning · Computer Science 2024-07-23 Xiangfeng Wang , Hongteng Xu , Moyi Yang

Correctly estimating the discrepancy between two data distributions has always been an important task in Machine Learning. Recently, Cuturi proposed the Sinkhorn distance which makes use of an approximate Optimal Transport cost between two…

Computer Vision and Pattern Recognition · Computer Science 2018-01-18 Ying Lu , Liming Chen , Alexandre Saidi , Xianfeng Gu

Optimal transport (OT) is a widely used technique in machine learning, graphics, and vision that aligns two distributions or datasets using their relative geometry. In symmetry-rich settings, however, OT alignments based solely on pairwise…

Machine Learning · Computer Science 2025-09-26 Annabel Ma , Kaiying Hou , David Alvarez-Melis , Melanie Weber

In this work, we develop an optimal transport (OT) based framework to select informative prototypical examples that best represent a given target dataset. Summarizing a given target dataset via representative examples is an important…

Machine Learning · Computer Science 2021-04-06 Karthik S. Gurumoorthy , Pratik Jawanpuria , Bamdev Mishra

We consider the optimization problem of minimizing a functional defined over a family of probability distributions, where the objective functional is assumed to possess a variational form. Such a distributional optimization problem arises…

Machine Learning · Computer Science 2024-04-02 Zhuoran Yang , Yufeng Zhang , Yongxin Chen , Zhaoran Wang

Optimal transportation theory and the related $p$-Wasserstein distance ($W_p$, $p\geq 1$) are widely-applied in statistics and machine learning. In spite of their popularity, inference based on these tools has some issues. For instance, it…

Statistics Theory · Mathematics 2024-03-01 Yiming Ma , Hang Liu , Davide La Vecchia , Metthieu Lerasle

Generative adversarial nets (GANs) and variational auto-encoders have significantly improved our distribution modeling capabilities, showing promise for dataset augmentation, image-to-image translation and feature learning. However, to…

How should researchers select experimental sites when the deployment population differs from observed data? I formulate the problem of experimental site selection as an optimal transport problem, developing methods to minimize downstream…

Methodology · Statistics 2025-11-07 Adam Bouyamourn

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

We investigate the problem of efficiently computing optimal transport (OT) distances, which is equivalent to the node-capacitated minimum cost maximum flow problem in a bipartite graph. We compare runtimes in computing OT distances on data…

Data Structures and Algorithms · Computer Science 2020-07-07 Yihe Dong , Yu Gao , Richard Peng , Ilya Razenshteyn , Saurabh Sawlani

To deploy machine learning models in the real world, researchers have proposed many OOD detection algorithms to help models identify unknown samples during the inference phase and prevent them from making untrustworthy predictions. Unlike…

Machine Learning · Computer Science 2025-02-25 Heng Gao , Zhuolin He , Jian Pu