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We introduce a new algorithm named WGAN, an alternative to traditional GAN training. In this new model, we show that we can improve the stability of learning, get rid of problems like mode collapse, and provide meaningful learning curves…

Machine Learning · Statistics 2017-12-08 Martin Arjovsky , Soumith Chintala , Léon Bottou

Regression loss design is an essential topic for oriented object detection. Due to the periodicity of the angle and the ambiguity of width and height definition, traditional L1-distance loss and its variants have been suffered from the…

Computer Vision and Pattern Recognition · Computer Science 2023-12-13 Yuke Zhu , Yumeng Ruan , Zihua Xiong , Sheng Guo

Approximating a probability distribution using a set of particles is a fundamental problem in machine learning and statistics, with applications including clustering and quantization. Formally, we seek a weighted mixture of Dirac measures…

Machine Learning · Statistics 2026-04-24 Ayoub Belhadji , Daniel Sharp , Youssef Marzouk

The Wasserstein distance has emerged as a key metric to quantify distances between probability distributions, with applications in various fields, including machine learning, control theory, decision theory, and biological systems.…

Machine Learning · Computer Science 2026-02-10 Eduardo Figueiredo , Steven Adams , Luca Laurenti

Wasserstein Generative Adversarial Networks (WGANs) can be used to generate realistic samples from complicated image distributions. The Wasserstein metric used in WGANs is based on a notion of distance between individual images, which…

Computer Vision and Pattern Recognition · Computer Science 2019-01-14 Jonas Adler , Sebastian Lunz

The Wasserstein distance received a lot of attention recently in the community of machine learning, especially for its principled way of comparing distributions. It has found numerous applications in several hard problems, such as domain…

Machine Learning · Statistics 2017-10-23 Nicolas Courty , Rémi Flamary , Mélanie Ducoffe

In this paper, we present an ensemble data assimilation paradigm over a Riemannian manifold equipped with the Wasserstein metric. Unlike the Eulerian penalization of error in the Euclidean space, the Wasserstein metric can capture…

Methodology · Statistics 2021-10-11 Sagar K. Tamang , Ardeshir Ebtehaj , Peter J. Van Leeuwen , Dongmian Zou , Gilad Lerman

Joint distribution matching (JDM) problem, which aims to learn bidirectional mappings to match joint distributions of two domains, occurs in many machine learning and computer vision applications. This problem, however, is very difficult…

Computer Vision and Pattern Recognition · Computer Science 2020-03-03 JieZhang Cao , Langyuan Mo , Qing Du , Yong Guo , Peilin Zhao , Junzhou Huang , Mingkui Tan

Learning algorithms for energy based Boltzmann architectures that rely on gradient descent are in general computationally prohibitive, typically due to the exponential number of terms involved in computing the partition function. In this…

Machine Learning · Computer Science 2018-07-13 Enrique Romero Merino , Ferran Mazzanti Castrillejo , Jordi Delgado Pin , David Buchaca Prats

Wasserstein GANs with Gradient Penalty (WGAN-GP) are a very popular method for training generative models to produce high quality synthetic data. While WGAN-GP were initially developed to calculate the Wasserstein 1 distance between…

Machine Learning · Computer Science 2022-07-01 Tristan Milne , Adrian Nachman

Neural networks are known to produce poor uncertainty estimations, and a variety of approaches have been proposed to remedy this issue. This includes deep ensemble, a simple and effective method that achieves state-of-the-art results for…

Machine Learning · Computer Science 2022-10-13 Yuesong Shen , Daniel Cremers

This paper introduces Wasserstein Adversarially Regularized Graph Autoencoder (WARGA), an implicit generative algorithm that directly regularizes the latent distribution of node embedding to a target distribution via the Wasserstein metric.…

Machine Learning · Computer Science 2021-11-10 Huidong Liang , Junbin Gao

Detection of change-points in a sequence of high-dimensional observations is a very challenging problem, and this becomes even more challenging when the sample size (i.e., the sequence length) is small. In this article, we propose some…

Methodology · Statistics 2021-11-30 Trisha Dawn , Angshuman Roy , Alokesh Manna , Anil K. Ghosh

Recent advances show that deep neural networks are not robust to deliberately crafted adversarial examples which many are generated by adding human imperceptible perturbation to clear input. Consider $l_2$ norms attacks, Project Gradient…

Machine Learning · Computer Science 2019-06-11 Fanyou Wu , Rado Gazo , Eva Haviarova , Bedrich Benes

Input aggregation is a simple technique used by state-of-the-art LiDAR 3D object detectors to improve detection. However, increasing aggregation is known to have diminishing returns and even performance degradation, due to objects…

Computer Vision and Pattern Recognition · Computer Science 2024-11-21 Chengjie Huang , Vahdat Abdelzad , Sean Sedwards , Krzysztof Czarnecki

The Wasserstein distance has become increasingly important in machine learning and deep learning. Despite its popularity, the Wasserstein distance is hard to approximate because of the curse of dimensionality. A recently proposed approach…

Machine Learning · Computer Science 2021-09-29 Minhui Huang , Shiqian Ma , Lifeng Lai

Conditional distribution is a fundamental quantity for describing the relationship between a response and a predictor. We propose a Wasserstein generative approach to learning a conditional distribution. The proposed approach uses a…

Machine Learning · Computer Science 2021-12-21 Shiao Liu , Xingyu Zhou , Yuling Jiao , Jian Huang

In recent years, hyperspectral anomaly detection (HAD) has become an active topic and plays a significant role in military and civilian fields. As a classic HAD method, the collaboration representation-based detector (CRD) has attracted…

Image and Video Processing · Electrical Eng. & Systems 2021-12-23 Rong Wang , Yihang Lu , Qianrong Zhang , Feiping Nie , Zhen Wang , Xuelong Li

Adversarial examples are crafted by adding indistinguishable perturbations to normal examples in order to fool a well-trained deep learning model to misclassify. In the context of computer vision, this notion of indistinguishability is…

Machine Learning · Computer Science 2023-03-23 Wenjie Wang , Li Xiong , Jian Lou

Change-point detection (CPD) aims to detect abrupt changes over time series data. Intuitively, effective CPD over multivariate time series should require explicit modeling of the dependencies across input variables. However, existing CPD…

Machine Learning · Computer Science 2020-09-15 Ruohong Zhang , Yu Hao , Donghan Yu , Wei-Cheng Chang , Guokun Lai , Yiming Yang
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