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Temporal Networks, and more specifically, Markovian Temporal Networks, present a unique challenge regarding the community discovery task. The inherent dynamism of these systems requires an intricate understanding of memory effects and…

Physics and Society · Physics 2026-04-20 Giulio Virginio Clemente , Diego Garlaschelli

Time series anomaly detection is an important task, with applications in a broad variety of domains. Many approaches have been proposed in recent years, but often they require that the length of the anomalies be known in advance and…

Machine Learning · Computer Science 2020-01-31 Yifeng Gao , Jessica Lin , Constantin Brif

In recent years, specific evaluation metrics for time series anomaly detection algorithms have been developed to handle the limitations of the classical precision and recall. However, such metrics are heuristically built as an aggregate of…

Machine Learning · Computer Science 2022-10-13 Alexis Huet , Jose Manuel Navarro , Dario Rossi

Periodic and semi periodic patterns are very common in nature. In this paper we introduce a topological toolbox aiming in detecting and quantifying periodicity. The presented technique is of a general nature and may be employed wherever…

Algebraic Topology · Mathematics 2019-05-30 Paweł Dłotko , Wanling Qiu , Simon Rudkin

This paper addresses the problem of detecting and characterizing local variability in time series and other forms of sequential data. The goal is to identify and characterize statistically significant variations, at the same time…

Instrumentation and Methods for Astrophysics · Physics 2015-06-05 Jeffrey D. Scargle , Jay P. Norris , Brad Jackson , James Chiang

In complex systems, events occur at irregular intervals that inherently encode the underlying dynamics of the system. Analyzing the temporal clustering of these events reveals critical insights into the non-random patterns and the temporal…

Data Analysis, Statistics and Probability · Physics 2026-03-20 Ambedkar Sanket Sukdeo , K. Shri Vignesh , Sachin S. Gunthe , T Narayan Rao , Amit Kumar Patra , R. I. Sujith

Anomaly detection for time-series data has been an important research field for a long time. Seminal work on anomaly detection methods has been focussing on statistical approaches. In recent years an increasing number of machine learning…

Machine Learning · Computer Science 2020-04-02 Mohammad Braei , Sebastian Wagner

Network data has emerged as an active research area in statistics. Much of the focus of ongoing research has been on static networks that represent a single snapshot or aggregated historical data unchanging over time. However, most networks…

Applications · Statistics 2021-02-23 Lata Kodali , Srijan Sengupta , Leanna House , William H. Woodall

Decomposing complex time series into trend, seasonality, and remainder components is an important task to facilitate time series anomaly detection and forecasting. Although numerous methods have been proposed, there are still many time…

Machine Learning · Computer Science 2018-12-06 Qingsong Wen , Jingkun Gao , Xiaomin Song , Liang Sun , Huan Xu , Shenghuo Zhu

Time series anomaly detection plays a critical role in automated monitoring systems. Most previous deep learning efforts related to time series anomaly detection were based on recurrent neural networks (RNN). In this paper, we propose a…

Machine Learning · Computer Science 2019-06-03 Tailai Wen , Roy Keyes

Clinical time series data are critical for patient monitoring and predictive modeling. These time series are typically multivariate and often comprise hundreds of heterogeneous features from different data sources. The grouping of features…

Machine Learning · Computer Science 2025-11-12 Fedor Sergeev , Manuel Burger , Polina Leshetkina , Vincent Fortuin , Gunnar Rätsch , Rita Kuznetsova

Time series anomaly detection is a challenging problem due to the complex temporal dependencies and the limited label data. Although some algorithms including both traditional and deep models have been proposed, most of them mainly focus on…

Machine Learning · Computer Science 2023-03-28 Chaoli Zhang , Tian Zhou , Qingsong Wen , Liang Sun

With the sweeping digitalization of societal, medical, industrial, and scientific processes, sensing technologies are being deployed that produce increasing volumes of time series data, thus fueling a plethora of new or improved…

Machine Learning · Computer Science 2024-04-23 David Campos , Tung Kieu , Chenjuan Guo , Feiteng Huang , Kai Zheng , Bin Yang , Christian S. Jensen

We address the problem of data-driven pattern identification and outlier detection in time series. To this end, we use singular value decomposition (SVD) which is a well-known technique to compute a low-rank approximation for an arbitrary…

Methodology · Statistics 2019-03-12 Abdolrahman Khoshrou , Eric J. Pauwels

We present new methods for batch anomaly detection in multivariate time series. Our methods are based on maximizing the Kullback-Leibler divergence between the data distribution within and outside an interval of the time series. An…

Time-series anomaly detection, which detects errors and failures in a workflow, is one of the most important topics in real-world applications. The purpose of time-series anomaly detection is to reduce potential damages or losses. However,…

Machine Learning · Computer Science 2025-04-17 Jinsung Jeon , Jaehyeon Park , Sewon Park , Jeongwhan Choi , Minjung Kim , Noseong Park

Anomaly detection is the process of identifying unexpected events or ab-normalities in data, and it has been applied in many different areas such as system monitoring, fraud detection, healthcare, intrusion detection, etc. Providing…

Machine Learning · Computer Science 2023-01-11 Ming-Chang Lee , Jia-Chun Lin , Ernst Gunnar Gran

Continuous-time event sequences represent discrete events occurring in continuous time. Such sequences arise frequently in real-life. Usually we expect the sequences to follow some regular pattern over time. However, sometimes these…

Machine Learning · Computer Science 2021-06-15 Siqi Liu , Milos Hauskrecht

Outlier detection can serve as an extremely important tool for researchers from a wide range of fields. From the sectors of banking and marketing to the social sciences and healthcare sectors, outlier detection techniques are very useful…

Methodology · Statistics 2023-12-12 Efthymios Costa , Ioanna Papatsouma

The identification of anomalies in temporal data is a core component of numerous research areas such as intrusion detection, fault prevention, genomics and fraud detection. This article provides an experimental comparison of the novelty…

Machine Learning · Computer Science 2019-12-02 Rémi Domingues , Pietro Michiardi , Jérémie Barlet , Maurizio Filippone