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Anomaly detection consists in identifying, within a dataset, those samples that significantly differ from the majority of the data, representing the normal class. It has many practical applications, e.g. ranging from defective product…

Computer Vision and Pattern Recognition · Computer Science 2020-11-13 Pankaj Mishra , Claudio Piciarelli , Gian Luca Foresti

The hereditary discrepancy of a set system is a certain quantitative measure of the pseudorandom properties of the system. Roughly, hereditary discrepancy measures how well one can $2$-color the elements of the system so that each set…

Data Structures and Algorithms · Computer Science 2024-04-23 Greg Bodwin , Chengyuan Deng , Jie Gao , Gary Hoppenworth , Jalaj Upadhyay , Chen Wang

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

In this paper we develop an approach for detecting entanglement, which is based on measuring quantum correlations and constructing a correlation matrix. The correlation matrix is then used for defining a family of parameters, named…

Quantum Physics · Physics 2021-02-03 Bar Y. Peled , Amit Te'eni , Avishy Carmi , Eliahu Cohen

We study the effect of a weak random additive noise in a linear chain of N locally-coupled logistic maps at the edge of chaos. Maps tend to synchronize for a strong enough coupling, but if a weak noise is added, very intermittent…

Statistical Mechanics · Physics 2015-06-05 Alessandro Pluchino , Andrea Rapisarda , Constantino Tsallis

In this paper, I present a method to solve a node discovery problem in a networked organization. Covert nodes refer to the nodes which are not observable directly. They affect social interactions, but do not appear in the surveillance logs…

Artificial Intelligence · Computer Science 2016-11-15 Yoshiharu Maeno

Anomaly detection in road networks is vital for traffic management and emergency response. However, existing approaches do not directly address multiple anomaly types. We propose a tensor-based spatio-temporal model for detecting multiple…

Physics and Society · Physics 2019-10-31 Ming Xu , Jianping Wu , Haohan Wang , Mengxin Cao

We discuss a method for correcting the bias in the limits for small signals if those limits were found based on cuts that were chosen by minimizing a criterion such as sensitivity. Such a bias is commonly present when a "minimization" and…

High Energy Physics - Phenomenology · Physics 2009-11-07 Wolfgang A. Rolke , Angel M. Lopez

Anomalies represent deviations from the intended system operation and can lead to decreased efficiency as well as partial or complete system failure. As the causes of anomalies are often unknown due to complex system dynamics, efficient…

Machine Learning · Computer Science 2021-08-31 Benjamin Lindemann , Benjamin Maschler , Nada Sahlab , Michael Weyrich

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

We develop an interpolation-based framework for noisy linear systems with unknown system matrix with bounded norm (implying bounded growth or non-increasing energy), and bounded process noise energy. The proposed approach characterizes all…

Systems and Control · Electrical Eng. & Systems 2025-11-17 Martina Vanelli , Nima Monshizadeh , Julien M. Hendrickx

We formulate the stochastic dynamics of a particle subject to internal non-white (coloured) noise in terms of path-integrals. In the simplest case, where the noise is exponentially correlated, the weak-noise limit is characterised by…

Condensed Matter · Physics 2015-06-25 S. J. B. Einchcomb , A. J. McKane

Minimax detection of Gaussian stochastic sequences (signals) with unknown covariance matrices is studied. For a fixed false alarm probability (1-st kind error probability), the performance of the minimax detection is being characterized by…

Information Theory · Computer Science 2021-04-14 M. V. Burnashev

Link prediction is an elemental challenge in network science, which has already found applications in guiding laboratorial experiments, digging out drug targets, recommending friends in social networks, probing mechanisms in network…

Physics and Society · Physics 2019-06-26 Ratha Pech , Dong Hao , Yan-Li Lee , Ye Yuan , Tao Zhou

System states that are anomalous from the perspective of a domain expert occur frequently in some anomaly detection problems. The performance of commonly used unsupervised anomaly detection methods may suffer in that setting, because they…

Machine Learning · Statistics 2016-05-17 Richard Neuberg , Yixin Shi

As a fundamental problem in many different fields, link prediction aims to estimate the likelihood of an existing link between two nodes based on the observed information. Since this problem is related to many applications ranging from…

Physics and Society · Physics 2014-10-01 Hao Liao , An Zeng , Yi-Cheng Zhang

Knowledge about existence, strength, and dominant direction of causal influences is of paramount importance for understanding complex systems. With limited amounts of realistic data, however, current methods for investigating causal links…

Data Analysis, Statistics and Probability · Physics 2020-10-20 Erik Laminski , Klaus R. Pawelzik

This paper presents a simple yet effective method for anomaly detection. The main idea is to learn small perturbations to perturb normal data and learn a classifier to classify the normal data and the perturbed data into two different…

Machine Learning · Computer Science 2023-02-07 Jinyu Cai , Jicong Fan

This paper describes a methodology for detecting anomalies from sequentially observed and potentially noisy data. The proposed approach consists of two main elements: (1) {\em filtering}, or assigning a belief or likelihood to each…

Machine Learning · Computer Science 2016-11-17 Maxim Raginsky , Rebecca Willett , Corinne Horn , Jorge Silva , Roummel Marcia

Anomaly detection is a well-established field in machine learning, identifying observations that deviate from typical patterns. The principles of anomaly detection could enhance our understanding of how biological systems recognize and…

Populations and Evolution · Quantitative Biology 2025-10-30 Steven A. Frank