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We study the maximum mean discrepancy (MMD) in the context of critical transitions modelled by fast-slow stochastic dynamical systems. We establish a new link between the dynamical theory of critical transitions with the statistical aspects…

Pattern Formation and Solitons · Physics 2019-01-30 Boumediene Hamzi , Christian Kuehn , Sameh Mohamed

Domain adaptation is an important technique to alleviate performance degradation caused by domain shift, e.g., when training and test data come from different domains. Most existing deep adaptation methods focus on reducing domain shift by…

Machine Learning · Computer Science 2019-06-25 Jun Wen , Nenggan Zheng , Junsong Yuan , Zhefeng Gong , Changyou Chen

Domain generalization (DG) deals with the problem of domain shift where a machine learning model trained on multiple-source domains fail to generalize well on a target domain with different statistics. Multiple approaches have been proposed…

Computer Vision and Pattern Recognition · Computer Science 2020-07-29 Prashant Pandey , Mrigank Raman , Sumanth Varambally , Prathosh AP

Accurate approximation of probability measures is essential in numerical applications. This paper explores the quantization of probability measures using the maximum mean discrepancy (MMD) distance as a guiding metric. We first investigate…

Optimization and Control · Mathematics 2025-03-18 Zahra Mehraban , Alois Pichler

The maximum mean discrepancy (MMD) is a kernel-based distance between probability distributions useful in many applications (Gretton et al. 2012), bearing a simple estimator with pleasing computational and statistical properties. Being able…

Machine Learning · Statistics 2022-11-16 Danica J. Sutherland , Namrata Deka

Reliable and accurate estimation of the error of an ML model in unseen test domains is an important problem for safe intelligent systems. Prior work uses disagreement discrepancy (DIS^2) to derive practical error bounds under distribution…

Machine Learning · Computer Science 2025-06-19 Aayush Mishra , Anqi Liu

We propose the discrepancy-based generalization theories for unsupervised domain adaptation. Previous theories introduced distribution discrepancies defined as the supremum over complete hypothesis space. The hypothesis space may contain…

Machine Learning · Computer Science 2020-08-17 Yuchen Zhang , Mingsheng Long , Jianmin Wang , Michael I. Jordan

In this work, we present a novel upper bound of target error to address the problem for unsupervised domain adaptation. Recent studies reveal that a deep neural network can learn transferable features which generalize well to novel tasks.…

Machine Learning · Computer Science 2019-10-07 Dexuan Zhang , Tatsuya Harada

Plug-and-Play (PnP) priors is a widely-used family of methods for solving imaging inverse problems by integrating physical measurement models with image priors specified using image denoisers. PnP methods have been shown to achieve…

Computer Vision and Pattern Recognition · Computer Science 2023-10-03 Shirin Shoushtari , Jiaming Liu , Edward P. Chandler , M. Salman Asif , Ulugbek S. Kamilov

Domain adaptation seeks to leverage the abundant label information in a source domain to improve classification performance in a target domain with limited labels. While the field has seen extensive methodological development, its…

Machine Learning · Statistics 2025-07-31 Elif Vural , Huseyin Karaca

As a recent noticeable topic, domain generalization aims to learn a generalizable model on multiple source domains, which is expected to perform well on unseen test domains. Great efforts have been made to learn domain-invariant features by…

Computer Vision and Pattern Recognition · Computer Science 2022-10-11 Jianxin Lin , Yongqiang Tang , Junping Wang , Wensheng Zhang

Early Unsupervised Domain Adaptation (UDA) methods have mostly assumed the setting of a single source domain, where all the labeled source data come from the same distribution. However, in practice the labeled data can come from multiple…

Machine Learning · Computer Science 2020-03-31 Zhenpeng Li , Zhen Zhao , Yuhong Guo , Haifeng Shen , Jieping Ye

Unsupervised Domain Adaptation (UDA) is quite challenging due to the large distribution discrepancy between the source domain and the target domain. Inspired by diffusion models which have strong capability to gradually convert data…

Computer Vision and Pattern Recognition · Computer Science 2023-08-29 Duo Peng , Qiuhong Ke , Yinjie Lei , Jun Liu

Adversarial training based on the maximum classifier discrepancy between two classifier structures has achieved great success in unsupervised domain adaptation tasks for image classification. The approach adopts the structure of two…

Computer Vision and Pattern Recognition · Computer Science 2022-04-19 Yiju Yang , Taejoon Kim , Guanghui Wang

This paper addresses the general problem of domain adaptation which arises in a variety of applications where the distribution of the labeled sample available somewhat differs from that of the test data. Building on previous work by…

Machine Learning · Computer Science 2023-12-04 Yishay Mansour , Mehryar Mohri , Afshin Rostamizadeh

Sparse coding has shown its power as an effective data representation method. However, up to now, all the sparse coding approaches are limited within the single domain learning problem. In this paper, we extend the sparse coding to cross…

Computer Vision and Pattern Recognition · Computer Science 2013-11-28 Jim Jing-Yan Wang

Unsupervised domain adaptation (UDA) aims to improve the prediction performance in the target domain under distribution shifts from the source domain. The key principle of UDA is to minimize the divergence between the source and the target…

Computer Vision and Pattern Recognition · Computer Science 2022-11-17 JoonHo Lee , Gyemin Lee

Unsupervised domain adaptation is the problem setting where data generating distributions in the source and target domains are different, and labels in the target domain are unavailable. One important question in unsupervised domain…

Machine Learning · Computer Science 2018-11-20 Seiichi Kuroki , Nontawat Charoenphakdee , Han Bao , Junya Honda , Issei Sato , Masashi Sugiyama

Likelihood-free inference methods typically make use of a distance between simulated and real data. A common example is the maximum mean discrepancy (MMD), which has previously been used for approximate Bayesian computation, minimum…

Methodology · Statistics 2023-05-11 Ayush Bharti , Masha Naslidnyk , Oscar Key , Samuel Kaski , François-Xavier Briol

Unsupervised domain adaptive object detection aims to adapt a well-trained detector from its original source domain with rich labeled data to a new target domain with unlabeled data. Recently, mainstream approaches perform this task through…

Computer Vision and Pattern Recognition · Computer Science 2022-03-16 Bo Zhang , Tao Chen , Bin Wang , Ruoyao Li