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The Maximum Mean Discrepancy (MMD) has found numerous applications in statistics and machine learning, most recently as a penalty in the Wasserstein Auto-Encoder (WAE). In this paper we compute closed-form expressions for estimating the…

Machine Learning · Statistics 2020-06-03 Raif M. Rustamov

In domain adaptation, maximum mean discrepancy (MMD) has been widely adopted as a discrepancy metric between the distributions of source and target domains. However, existing MMD-based domain adaptation methods generally ignore the changes…

Computer Vision and Pattern Recognition · Computer Science 2017-05-02 Hongliang Yan , Yukang Ding , Peihua Li , Qilong Wang , Yong Xu , Wangmeng Zuo

We consider the problem of detecting abrupt changes in the distribution of a multi-dimensional time series, with limited computing power and memory. In this paper, we propose a new, simple method for model-free online change-point detection…

Machine Learning · Computer Science 2020-04-02 Nicolas Keriven , Damien Garreau , Iacopo Poli

Denoising Diffusion Models (DDMs) have become a popular tool for generating high-quality samples from complex data distributions. These models are able to capture sophisticated patterns and structures in the data, and can generate samples…

Computer Vision and Pattern Recognition · Computer Science 2024-08-20 Emanuele Aiello , Diego Valsesia , Enrico Magli

Generative moment matching network (GMMN) is a deep generative model that differs from Generative Adversarial Network (GAN) by replacing the discriminator in GAN with a two-sample test based on kernel maximum mean discrepancy (MMD).…

Machine Learning · Computer Science 2017-11-28 Chun-Liang Li , Wei-Cheng Chang , Yu Cheng , Yiming Yang , Barnabás Póczos

Classifying streaming data requires the development of methods which are computationally efficient and able to cope with changes in the underlying distribution of the stream, a phenomenon known in the literature as concept drift. We propose…

Machine Learning · Statistics 2012-12-27 Gordon J. Ross , Niall M. Adams , Dimitris K. Tasoulis , David J. Hand

The paper introduces a new kernel-based Maximum Mean Discrepancy (MMD) statistic for measuring the distance between two distributions given finitely-many multivariate samples. When the distributions are locally low-dimensional, the proposed…

Machine Learning · Statistics 2018-09-03 Xiuyuan Cheng , Alexander Cloninger , Ronald R. Coifman

This paper deals with robust inference for parametric copula models. Estimation using Canonical Maximum Likelihood might be unstable, especially in the presence of outliers. We propose to use a procedure based on the Maximum Mean…

We propose a simple neural network model to deal with the domain adaptation problem in object recognition. Our model incorporates the Maximum Mean Discrepancy (MMD) measure as a regularization in the supervised learning to reduce the…

Computer Vision and Pattern Recognition · Computer Science 2016-07-28 Muhammad Ghifary , W. Bastiaan Kleijn , Mengjie Zhang

Consider a large number of detectors each generating a data stream. The task is to detect online, distribution changes in a small fraction of the data streams. Previous approaches to this problem include the use of mixture likelihood ratios…

Statistics Theory · Mathematics 2016-01-20 Hock Peng Chan

This paper is motivated by addressing open questions in distributionally robust chance-constrained programs (DRCCP) using the popular Wasserstein ambiguity sets. Specifically, the computational techniques for those programs typically place…

Optimization and Control · Mathematics 2022-04-26 Yassine Nemmour , Heiner Kremer , Bernhard Schölkopf , Jia-Jie Zhu

In many classification models, data is discretized to better estimate its distribution. Existing discretization methods often target at maximizing the discriminant power of discretized data, while overlooking the fact that the primary…

Machine Learning · Computer Science 2023-04-06 Shihe Wang , Jianfeng Ren , Ruibin Bai , Yuan Yao , Xudong Jiang

Detection of vaccine adverse events is crucial to the discovery and improvement of problematic vaccines. To achieve it, traditionally formal reporting systems like VAERS support accurate but delayed surveillance, while recently social media…

Social and Information Networks · Computer Science 2020-09-11 Junxiang Wang , Liang Zhao

Despite the remarkable results that can be achieved by data-driven intelligent fault diagnosis techniques, they presuppose the same distribution of training and test data as well as sufficient labeled data. Various operating states often…

Machine Learning · Computer Science 2023-11-27 Zixuan Wang , Haoran Tang , Haibo Wang , Bo Qin , Mark D. Butala , Weiming Shen , Hongwei Wang

The maximum mean discrepancy and Wasserstein distance are popular distance measures between distributions and play important roles in many machine learning problems such as metric learning, generative modeling, domain adaption, and…

Machine Learning · Computer Science 2025-01-22 Dong Qiao , Jicong Fan

The maximum mean discrepancy (MMD) is a recently proposed test statistic for two-sample test. Its quadratic time complexity, however, greatly hampers its availability to large-scale applications. To accelerate the MMD calculation, in this…

Artificial Intelligence · Computer Science 2015-06-19 Ji Zhao , Deyu Meng

In many real-world applications, it is common that a proportion of the data may be missing or only partially observed. We develop a novel two-sample testing method based on the Maximum Mean Discrepancy (MMD) which accounts for missing data…

Methodology · Statistics 2024-05-27 Yijin Zeng , Niall M. Adams , Dean A. Bodenham

Knowledge transfer from a source domain to a different but semantically related target domain has long been an important topic in the context of unsupervised domain adaptation (UDA). A key challenge in this field is establishing a metric…

Machine Learning · Computer Science 2020-07-21 Rongzhe Wei , Fa Zhang , Bo Dong , Qinghua Zheng

We propose a framework for online Change Point Detection (CPD) from multi-entity, multivariate time series data, motivated by applications in crowd monitoring where traditional sensing methods (e.g., video surveillance) may be infeasible.…

Signal Processing · Electrical Eng. & Systems 2025-09-24 Bahar Kor , Bipin Gaikwad , Abani Patra , Eric L. Miller

Diffusion models (DMs) have emerged as a powerful class of generative AI models, showing remarkable potential in anomaly detection (AD) tasks across various domains, such as cybersecurity, fraud detection, healthcare, and manufacturing. The…

Machine Learning · Computer Science 2025-02-28 Jing Liu , Zhenchao Ma , Zepu Wang , Chenxuanyin Zou , Jiayang Ren , Zehua Wang , Liang Song , Bo Hu , Yang Liu , Victor C. M. Leung