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We propose a new approach to non-parametric density estimation that is based on regularizing a Sobolev norm of the density. This method is statistically consistent, and makes the inductive bias of the model clear and interpretable. While…

Machine Learning · Statistics 2024-02-15 Mark Kozdoba , Binyamin Perets , Shie Mannor

We propose a method for nonparametric density estimation that exhibits robustness to contamination of the training sample. This method achieves robustness by combining a traditional kernel density estimator (KDE) with ideas from classical…

Machine Learning · Statistics 2011-09-07 JooSeuk Kim , Clayton D. Scott

This paper presents a new approach to crowd behaviour anomaly detection that uses a set of efficiently computed, easily interpretable, scene-level holistic features. This low-dimensional descriptor combines two features from the literature:…

Computer Vision and Pattern Recognition · Computer Science 2016-06-17 M. Marsden , K. McGuinness , S. Little , N. E. O'Connor

Anomaly detection methods can be very useful in identifying unusual or interesting patterns in data. A recently proposed conditional anomaly detection framework extends anomaly detection to the problem of identifying anomalous patterns on a…

Machine Learning · Computer Science 2026-05-04 Michal Valko , Milos Hauskrecht

The rapid expansion of data from diverse sources has made anomaly detection (AD) increasingly essential for identifying unexpected observations that may signal system failures, security breaches, or fraud. As datasets become more complex…

Machine Learning · Computer Science 2025-03-18 Haoqi Huang , Ping Wang , Jianhua Pei , Jiacheng Wang , Shahen Alexanian , Dusit Niyato

Unsupervised anomaly detection (AD) in medical images aims to identify abnormal regions without relying on pixel-level annotations, which is crucial for scalable and label-efficient diagnostic systems. In this paper, we propose a novel…

Image and Video Processing · Electrical Eng. & Systems 2026-02-05 Jiayu Huo , Jingyuan Hong , Liyun Chen

Research is taking place to find effective algorithms for content-based image representation and description. There is a substantial amount of algorithms available that use visual features (color, shape, texture). Shape feature has…

Computer Vision and Pattern Recognition · Computer Science 2012-03-23 Tranos Zuva , Oludayo O. Olugbara , Sunday O. Ojo , Seleman M. Ngwira

Anomaly detection has been widely studied in the context of industrial defect inspection, with numerous methods developed to tackle a range of challenges. In digital pathology, anomaly detection holds significant potential for applications…

Image and Video Processing · Electrical Eng. & Systems 2025-06-25 Can Cui , Xindong Zheng , Ruining Deng , Quan Liu , Tianyuan Yao , Keith T Wilson , Lori A Coburn , Bennett A Landman , Haichun Yang , Yaohong Wang , Yuankai Huo

Unlike conventional anomaly detection research that focuses on point anomalies, our goal is to detect anomalous collections of individual data points. In particular, we perform group anomaly detection (GAD) with an emphasis on irregular…

Computer Vision and Pattern Recognition · Computer Science 2018-04-16 Raghavendra Chalapathy , Edward Toth , Sanjay Chawla

This study explores the application of autoencoder-based machine learning techniques for anomaly detection to identify exoplanet atmospheres with unconventional chemical signatures using a low-dimensional data representation. We use the…

Earth and Planetary Astrophysics · Physics 2026-01-06 Alexander Roman , Emilie Panek , Roy T. Forestano , Eyup B. Unlu , Katia Matcheva , Konstantin T. Matchev

We introduce kernel density machines (KDM), an agnostic kernel-based framework for learning the Radon-Nikodym derivative (density) between probability measures under minimal assumptions. KDM applies to general measurable spaces and avoids…

Machine Learning · Statistics 2026-03-27 Andrea Della Vecchia , Damir Filipovic , Paul Schneider

The growing scale and sophistication of cyberattacks pose critical challenges to network security, particularly in detecting diverse intrusion types within imbalanced datasets. Traditional intrusion detection systems (IDS) often struggle to…

Cryptography and Security · Computer Science 2025-11-25 Nisith Dissanayake , Uthayasanker Thayasivam

Detecting anomalous inputs, such as adversarial and out-of-distribution (OOD) inputs, is critical for classifiers (including deep neural networks or DNNs) deployed in real-world applications. While prior works have proposed various methods…

Machine Learning · Computer Science 2021-06-18 Jayaram Raghuram , Varun Chandrasekaran , Somesh Jha , Suman Banerjee

Anomaly detection is the process of identifying abnormal instances or events in data sets which deviate from the norm significantly. In this study, we propose a signatures based machine learning algorithm to detect rare or unexpected items…

Computational Finance · Quantitative Finance 2022-02-09 Erdinc Akyildirim , Matteo Gambara , Josef Teichmann , Syang Zhou

Detection of anomalous situations for complex mission-critical systems hold paramount importance when their service continuity needs to be ensured. A major challenge in detecting anomalies from the operational data arises due to the…

Machine Learning · Computer Science 2025-05-20 Shanay Mehta , Shlok Mehendale , Nicole Fernandes , Jyotirmoy Sarkar , Santonu Sarkar , Snehanshu Saha

With the rise of the Internet of Things, strategies for effectively processing big data are essential for discovering meaningul insights. The time series datasets produced by groups of interconnected devices contain valuable underlying…

Signal Processing · Electrical Eng. & Systems 2022-10-04 Turner Richmond , Namita Lokare , Qian Ge , Edgar Lobaton

Anomaly detection methods strive to discover patterns that differ from the norm in a semantic way. This goal is ambiguous as a data point differing from the norm by an attribute e.g., age, race or gender, may be considered anomalous by some…

Computer Vision and Pattern Recognition · Computer Science 2022-07-08 Niv Cohen , Jonathan Kahana , Yedid Hoshen

Kernel Density Estimation (KDE) is a cornerstone of nonparametric statistics, yet it remains sensitive to bandwidth choice, boundary bias, and computational inefficiency. This study revisits KDE through a principled convolutional framework,…

Methodology · Statistics 2025-10-24 Nicholas Tenkorang , Kwesi Appau Ohene-Obeng , Xiaogang Su

Huge datasets in cyber security, such as network traffic logs, can be analyzed using machine learning and data mining methods. However, the amount of collected data is increasing, which makes analysis more difficult. Many machine learning…

Machine Learning · Computer Science 2014-10-30 Antti Juvonen , Tuomo Sipola

We consider the problem of identifying patterns in a data set that exhibit anomalous behavior, often referred to as anomaly detection. Similarity-based anomaly detection algorithms detect abnormally large amounts of similarity or…

Computer Vision and Pattern Recognition · Computer Science 2016-07-26 Ko-Jen Hsiao , Kevin S. Xu , Jeff Calder , Alfred O. Hero
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