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Semantic matching of natural language sentences or identifying the relationship between two sentences is a core research problem underlying many natural language tasks. Depending on whether training data is available, prior research has…

Computation and Language · Computer Science 2018-03-02 Bang Liu , Ting Zhang , Fred X. Han , Di Niu , Kunfeng Lai , Yu Xu

Learning to predict multi-label outputs is challenging, but in many problems there is a natural metric on the outputs that can be used to improve predictions. In this paper we develop a loss function for multi-label learning, based on the…

Machine Learning · Computer Science 2015-12-31 Charlie Frogner , Chiyuan Zhang , Hossein Mobahi , Mauricio Araya-Polo , Tomaso Poggio

Wasserstein-GANs have been introduced to address the deficiencies of generative adversarial networks (GANs) regarding the problems of vanishing gradients and mode collapse during the training, leading to improved convergence behaviour and…

Machine Learning · Computer Science 2019-12-17 Jan Müller , Reinhard Klein , Michael Weinmann

In this work we test Wasserstein distance in conjunction with persistent homology, as a tool for discriminating large scale structures of simulated universes with different values of $\sigma_8$ cosmological parameter (present…

Cosmology and Nongalactic Astrophysics · Physics 2023-05-11 Maksym Tsizh , Vitalii Tymchyshyn , Franco Vazza

Domain Generalization (DG) seeks to develop a versatile model capable of performing effectively on unseen target domains. Notably, recent advances in pre-trained Visual Foundation Models (VFMs), such as CLIP, have demonstrated considerable…

Computer Vision and Pattern Recognition · Computer Science 2025-07-04 De Cheng , Zhipeng Xu , Xinyang Jiang , Dongsheng Li , Nannan Wang , Xinbo Gao

Deep neural networks (DNNs) are known to be vulnerable to adversarial attacks that would trigger misclassification of DNNs but may be imperceptible to human perception. Adversarial defense has been an important way to improve the robustness…

Machine Learning · Computer Science 2023-02-22 Qicheng Wang , Shuhai Zhang , Jiezhang Cao , Jincheng Li , Mingkui Tan , Yang Xiang

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…

We consider the task of aligning two sets of points in high dimension, which has many applications in natural language processing and computer vision. As an example, it was recently shown that it is possible to infer a bilingual lexicon,…

Machine Learning · Computer Science 2018-05-30 Edouard Grave , Armand Joulin , Quentin Berthet

Large Language Models have shown growing ability to generate fluent and coherent texts that are highly similar to the writing style of humans. Current detectors for Machine-Generated Text (MGT) perform well when they are trained and tested…

Computation and Language · Computer Science 2025-08-26 Shengchao Liu , Xiaoming Liu , Chengzhengxu Li , Zhaohan Zhang , Guoxin Ma , Yu Lan , Shuai Xiao

We propose a learning framework for graph kernels, which is theoretically grounded on regularizing optimal transport. This framework provides a novel optimal transport distance metric, namely Regularized Wasserstein (RW) discrepancy, which…

Machine Learning · Computer Science 2021-10-11 Asiri Wijesinghe , Qing Wang , Stephen Gould

Generalized sliced Wasserstein distance is a variant of sliced Wasserstein distance that exploits the power of non-linear projection through a given defining function to better capture the complex structures of the probability…

Machine Learning · Statistics 2022-10-20 Dung Le , Huy Nguyen , Khai Nguyen , Trang Nguyen , Nhat Ho

Word sense disambiguation (WSD) is a long-standing problem in natural language processing. One significant challenge in supervised all-words WSD is to classify among senses for a majority of words that lie in the long-tail distribution. For…

Computation and Language · Computer Science 2021-04-28 Howard Chen , Mengzhou Xia , Danqi Chen

In generative modeling, the Wasserstein distance (WD) has emerged as a useful metric to measure the discrepancy between generated and real data distributions. Unfortunately, it is challenging to approximate the WD of high-dimensional…

Computer Vision and Pattern Recognition · Computer Science 2019-04-16 Jiqing Wu , Zhiwu Huang , Dinesh Acharya , Wen Li , Janine Thoma , Danda Pani Paudel , Luc Van Gool

In generative modeling, the Wasserstein distance (WD) has emerged as a useful metric to measure the discrepancy between generated and real data distributions. Unfortunately, it is challenging to approximate the WD of high-dimensional…

Computer Vision and Pattern Recognition · Computer Science 2019-04-17 Jiqing Wu , Zhiwu Huang , Dinesh Acharya , Wen Li , Janine Thoma , Danda Pani Paudel , Luc Van Gool

Unsupervised cross-spectral stereo matching aims at recovering disparity given cross-spectral image pairs without any supervision in the form of ground truth disparity or depth. The estimated depth provides additional information…

Computer Vision and Pattern Recognition · Computer Science 2019-03-05 Mingyang Liang , Xiaoyang Guo , Hongsheng Li , Xiaogang Wang , You Song

A promising approach for knowledge-based Word Sense Disambiguation (WSD) is to select the sense whose contextualized embeddings computed for its definition sentence are closest to those computed for a target word in a given sentence. This…

Computation and Language · Computer Science 2023-04-25 Sakae Mizuki , Naoaki Okazaki

Wasserstein distributionally robust optimization offers a framework for model fitting in machine learning under potential shifts in the data distribution. We study a regularized variant of this problem in which entropic smoothing produces a…

Optimization and Control · Mathematics 2026-05-28 Tam Le

Measuring the semantic similarity between two sentences is still an important task. The word mover's distance (WMD) computes the similarity via the optimal alignment between the sets of word embeddings. However, WMD does not utilize word…

Computation and Language · Computer Science 2023-11-03 Hiroaki Yamagiwa , Sho Yokoi , Hidetoshi Shimodaira

Distribution matching is central to many vision and graphics tasks, where the widely used Wasserstein distance is too costly to compute for high dimensional distributions. The Sliced Wasserstein Distance (SWD) offers a scalable alternative,…

Graphics · Computer Science 2025-10-02 Mark Boss , Andreas Engelhardt , Simon Donné , Varun Jampani

Flow matching has recently emerged as a flexible and efficient framework for generative modelling by learning deterministic transport dynamics between probability measures. In this work, we extend flow matching to the space of probability…

Machine Learning · Computer Science 2026-05-12 Moritz Piening , Richard Duong , Gabriele Steidl