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Anomaly detection is a key task across domains such as industry, healthcare, and cybersecurity. Many real-world anomaly detection problems involve analyzing multiple features over time, making time series analysis a natural approach for…

Machine Learning · Computer Science 2025-10-09 Iago Xabier Vázquez , Javier Sedano , Muhammad Afzal , Ángel Miguel García-Vico

Anomaly detection is defined as the problem of finding data points that do not follow the patterns of the majority. Among the various proposed methods for solving this problem, classification-based methods, including one-class Support…

Optimization and Control · Mathematics 2023-12-05 Amir Hossein Noormohammadia , Seyed Ali MirHassania , Farnaz Hooshmand Khaligh

Given a long list of anomaly detection algorithms developed in the last few decades, how do they perform with regard to (i) varying levels of supervision, (ii) different types of anomalies, and (iii) noisy and corrupted data? In this work,…

Machine Learning · Computer Science 2022-09-20 Songqiao Han , Xiyang Hu , Hailiang Huang , Mingqi Jiang , Yue Zhao

Anomalous change detection (ACD) is an important problem in remote sensing image processing. Detecting not only pervasive but also anomalous or extreme changes has many applications for which methodologies are available. This paper…

Computer Vision and Pattern Recognition · Computer Science 2020-12-10 José A. Padrón-Hidalgo , Valero Laparra , Nathan Longbotham , Gustau Camps-Valls

We study the problem of estimating the ridges of a density function. Ridge estimation is an extension of mode finding and is useful for understanding the structure of a density. It can also be used to find hidden structure in point cloud…

Statistics Theory · Mathematics 2014-08-29 Christopher R. Genovese , Marco Perone-Pacifico , Isabella Verdinelli , Larry Wasserman

Timely detection of abrupt anomalies is crucial for real-time monitoring and security of modern systems producing high-dimensional data. With this goal, we propose effective and scalable algorithms. Proposed algorithms are nonparametric as…

Machine Learning · Computer Science 2020-02-19 Mehmet Necip Kurt , Yasin Yilmaz , Xiaodong Wang

We estimate on a compact interval densities with isolated irregularities, such as discontinuities or discontinuities in some derivatives. From independent and identically distributed observations we construct a kernel estimator with…

Statistics Theory · Mathematics 2024-07-16 Céline Duval , Émeline Schmisser

We present a new sink particle algorithm developed for the Adaptive Mesh Refinement code RAMSES. Our main addition is the use of a clump finder to identify density peaks and their associated regions (the peak patches). This allows us to…

Solar and Stellar Astrophysics · Physics 2015-06-23 Andreas Bleuler , Romain Teyssier

We present a novel method for image anomaly detection, where algorithms that use samples drawn from some distribution of "normal" data, aim to detect out-of-distribution (abnormal) samples. Our approach includes a combination of encoder and…

Image and Video Processing · Electrical Eng. & Systems 2020-03-02 Nina Tuluptceva , Bart Bakker , Irina Fedulova , Anton Konushin

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

Anomalies can be defined as any non-random structure which deviates from normality. Anomaly detection methods reported in the literature are numerous and diverse, as what is considered anomalous usually varies depending on particular…

Computer Vision and Pattern Recognition · Computer Science 2021-10-07 Matias Tailanian , Pablo Musé , Álvaro Pardo

By now, most outlier-detection algorithms struggle to accurately detect both point anomalies and cluster anomalies simultaneously. Furthermore, a few K-nearest-neighbor-based anomaly-detection methods exhibit excellent performance on many…

Information Theory · Computer Science 2025-06-06 Kaituo Zhang , Wei Huang , Bingyang Zhang , Jinshan Xu , Xuhua Yang

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

As in other estimation scenarios, likelihood based estimation in the normal mixture set-up is highly non-robust against model misspecification and presence of outliers (apart from being an ill-posed optimization problem). A robust…

Methodology · Statistics 2023-12-20 Soumya Chakraborty , Ayanendranath Basu , Abhik Ghosh

Anomaly detecting as an important technical in cloud computing is applied to support smooth running of the cloud platform. Traditional detecting methods based on statistic, analysis, etc. lead to the high false-alarm rate due to…

Machine Learning · Computer Science 2019-01-29 Jing Zhang

This work proposes a framework LGKDE that learns kernel density estimation for graphs. The key challenge in graph density estimation lies in effectively capturing both structural patterns and semantic variations while maintaining…

Machine Learning · Computer Science 2026-05-27 Xudong Wang , Ziheng Sun , Chris Ding , Jicong Fan

Anomaly detectors address the difficult problem of detecting automatically exceptions in an arbitrary background image. Detection methods have been proposed by the thousands because each problem requires a different background model. By…

Computer Vision and Pattern Recognition · Computer Science 2019-04-26 Axel Davy , Thibaud Ehret , Jean-Michel Morel , Mauricio Delbracio

The ongoing quest to discover new phenomena at the LHC necessitates the continuous development of algorithms and technologies. Established approaches like machine learning, along with emerging technologies such as quantum computing show…

Anomaly detection aims at identifying unexpected fluctuations in the expected behavior of a given system. It is acknowledged as a reliable answer to the identification of zero-day attacks to such extent, several ML algorithms that suit for…

Machine Learning · Computer Science 2020-12-22 Tommaso Zoppi , Andrea ceccarelli , Tommaso Capecchi , Andrea Bondavalli

Observations in data which are significantly different from its neighbouring points but cannot be classified as noise are known as anomalies or outliers. These anomalies are a cause of concern and a timely warning about their presence could…

Applications · Statistics 2020-06-09 Krishnam Kapoor