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The random cluster model is used to define an upper bound on a distance measure as a function of the number of data points to be classified and the expected value of the number of classes to form in a hybrid K-means and regression…

Machine Learning · Computer Science 2016-02-12 Robert A. Murphy

The problem of sequentially detecting a moving anomaly which affects different parts of a sensor network with time is studied. Each network sensor is characterized by a non-anomalous and anomalous distribution, governing the generation of…

Statistics Theory · Mathematics 2020-07-30 Georgios Rovatsos , George V. Moustakides , Venugopal V. Veeravalli

The problem of quickest anomaly detection in networks with unlabeled samples is studied. At some unknown time, an anomaly emerges in the network and changes the data-generating distribution of some unknown sensor. The data vector received…

Signal Processing · Electrical Eng. & Systems 2023-04-19 Zhongchang Sun , Shaofeng Zou

Anomaly detection is a relevant problem in the area of data analysis. In networked systems, where individual entities interact in pairs, anomalies are observed when pattern of interactions deviates from patterns considered regular. Properly…

Social and Information Networks · Computer Science 2023-10-25 Hadiseh Safdari , Caterina De Bacco

From a sequence of similarity networks, with edges representing certain similarity measures between nodes, we are interested in detecting a change-point which changes the statistical property of the networks. After the change, a subset of…

Statistics Theory · Mathematics 2016-12-06 Shanshan Cao , Yao Xie

In this paper, we test whether two datasets share a common clustering structure. As a leading example, we focus on comparing clustering structures in two independent random samples from two mixtures of multivariate normal distributions.…

Statistics Theory · Mathematics 2022-11-21 Chao Gao , Zongming Ma

Many real-world complex systems rely on cluster synchronization to function properly. A cluster of nodes exhibits synchronous behavior while others behave erratically. Predicting the emergence of these clusters and understanding the…

Adaptation and Self-Organizing Systems · Physics 2023-09-19 Rodrigo M. Corder , Zheng Bian , Tiago Pereira , Antonio Montalban

Most current clustering based anomaly detection methods use scoring schema and thresholds to classify anomalies. These methods are often tailored to target specific data sets with "known" number of clusters. The paper provides a streaming…

Machine Learning · Statistics 2019-11-04 Sreelekha Guggilam , Syed M. A. Zaidi , Varun Chandola , Abani K. Patra

The problem of sequential anomaly detection is considered, where multiple data sources are monitored in real time and the goal is to identify the "anomalous" ones among them, when it is not possible to sample all sources at all times. A…

Statistics Theory · Mathematics 2022-05-23 Aristomenis Tsopelakos , Georgios Fellouris

The problem of sequential anomaly detection and identification is considered, where multiple data sources are simultaneously monitored and the goal is to identify in real time those, if any, that exhibit ``anomalous" statistical behavior.…

Statistics Theory · Mathematics 2024-12-09 Aristomenis Tsopelakos , Georgios Fellouris

Anomaly detection is a crucial task in various domains. Most of the existing methods assume the normal sample data clusters around a single central prototype while the real data may consist of multiple categories or subgroups. In addition,…

Machine Learning · Statistics 2024-12-03 Zhijin Dong , Hongzhi Liu , Boyuan Ren , Weimin Xiong , Zhonghai Wu

Anomaly detection research works generally propose algorithms or end-to-end systems that are designed to automatically discover outliers in a dataset or a stream. While literature abounds concerning algorithms or the definition of metrics…

Networking and Internet Architecture · Computer Science 2022-11-21 Jose Manuel Navarro , Alexis Huet , Dario Rossi

Anomaly detection is concerned with identifying data patterns that deviate remarkably from the expected behaviour. This is an important research problem, due to its broad set of application domains, from data analysis to e-health,…

Machine Learning · Computer Science 2021-08-23 L. Erhan , M. Ndubuaku , M. Di Mauro , W. Song , M. Chen , G. Fortino , O. Bagdasar , A. Liotta

Spectral clustering is one of the most popular clustering methods for finding clusters in a graph, which has found many applications in data mining. However, the input graph in those applications may have many missing edges due to error in…

Data Structures and Algorithms · Computer Science 2020-06-09 Pan Peng , Yuichi Yoshida

The correct identification of clusters is crucial for an accurate monitoring of the spread of a disease and also in many other natural, social and physical phenomena which exhibit an epidemic structure. Nevertheless, even when an accurate…

Physics and Society · Physics 2021-04-12 Eugenio Lippiello , Polytzois Bountzis

The problem of quickest growing dynamic anomaly detection in sensor networks is studied. Initially, the observations at the sensors, which are sampled sequentially by the decision maker, are generated according to a pre-change distribution.…

Statistics Theory · Mathematics 2020-02-04 Georgios Rovatsos , Venugopal V. Veeravalli , Don Towsley , Ananthram Swami

The determination of cluster centers generally depends on the scale that we use to analyze the data to be clustered. Inappropriate scale usually leads to unreasonable cluster centers and thus unreasonable results. In this study, we first…

Machine Learning · Statistics 2016-10-20 Xiurui Geng , Hairong Tang

In order to detect unknown intrusions and runtime errors of computer programs, the cyber-security community has developed various detection techniques. Anomaly detection is an approach that is designed to profile the normal runtime behavior…

Cryptography and Security · Computer Science 2021-06-03 Byunggu Yu , Junwhan Kim

This paper proposes to use set features for detecting anomalies in samples that consist of unusual combinations of normal elements. Many leading methods discover anomalies by detecting an unusual part of a sample. For example,…

Computer Vision and Pattern Recognition · Computer Science 2025-03-20 Niv Cohen , Issar Tzachor , Yedid Hoshen

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
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