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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

Earthquakes are a major threat to nations worldwide. Earthquake detection is an important scientific challenge, not only for its social impacts, but also since it reflects the actual degree of understanding of the physical processes…

Geophysics · Physics 2023-05-05 Yosef Ashkenazy , Ittai Kurzon , Eitan Asher

Time series anomaly detection is an important process for system monitoring and model switching, among other applications in cyber-physical systems. In this document, we present a fast subspace method for time series anomaly detection, with…

Systems and Control · Electrical Eng. & Systems 2022-05-23 Fredy Vides , Esteban Segura , Carlos Vargas-Agüero

The ETAS model is widely employed to model the spatio-temporal distribution of earthquakes, generally using spatially invariant parameters. We propose an efficient method for the estimation of spatially varying parameters, using the…

Geophysics · Physics 2017-06-28 Shyam Nandan , Guy Ouillon , Stefan Wiemer , Didier Sornette

The investigation of activity periods in time-tagged data-samples is a topic of large interest. Among Astrophysical samples, gamma-ray sources are widely studied, due to the huge quasi-continuum data set available today from the FERMI-LAT…

Instrumentation and Methods for Astrophysics · Physics 2018-07-18 Luigi Pacciani

We explore a combinatorial framework which efficiently quantifies the asymmetries between minima and maxima in local fluctuations of time series. We firstly showcase its performance by applying it to a battery of synthetic cases. We find…

Data Analysis, Statistics and Probability · Physics 2017-10-16 Uri Hasson , Jacopo Iacovacci , Ben Davis , Ryan Flanagan , Enzo Tagliazucchi , Helmut Laufs , Lucas Lacasa

This article investigates the support detection problem using the LASSO estimator in the space of measures. More precisely, we study the recovery of a discrete measure (spike train) from few noisy observations (Fourier samples, moments...)…

Statistics Theory · Mathematics 2014-02-27 Jean-Marc Azais , Yohann De Castro , Fabrice Gamboa

Time series, as frequently the case in neuroscience, are rarely stationary, but often exhibit abrupt changes due to attractor transitions or bifurcations in the dynamical systems producing them. A plethora of methods for detecting such…

Methodology · Statistics 2018-10-05 Hazem Toutounji , Daniel Durstewitz

Continuous-time state-space models (SSMs) are flexible tools for analysing irregularly sampled sequential observations that are driven by an underlying state process. Corresponding applications typically involve restrictive assumptions…

Methodology · Statistics 2020-10-29 Sina Mews , Roland Langrock , Marius Ötting , Houda Yaqine , Jost Reinecke

Graph-based techniques emerged as a choice to deal with the dimensionality issues in modeling multivariate time series. However, there is yet no complete understanding of how the underlying structure could be exploited to ease this task.…

Signal Processing · Electrical Eng. & Systems 2019-10-02 Elvin Isufi , Andreas Loukas , Nathanael Perraudin , Geert Leus

When faulty sensors are rare in a network, diagnosing sensors individually is inefficient. This study introduces a novel use of concepts from group testing and Kalman filtering in detecting these rare faulty sensors with significantly fewer…

Systems and Control · Computer Science 2015-01-20 Chun Lo , Yechao Bai , Mingyan Liu , Jerome P. Lynch

There is an especially strong need in modern large-scale data analysis to prioritize samples for manual inspection. For example, the inspection could target important mislabeled samples or key vulnerabilities exploitable by an adversarial…

Machine Learning · Statistics 2017-05-11 Mike Wojnowicz , Ben Cruz , Xuan Zhao , Brian Wallace , Matt Wolff , Jay Luan , Caleb Crable

Efficiently selecting an appropriate spike stream data length to extract precise information is the key to the spike vision tasks. To address this issue, we propose a dynamic timing representation for spike streams. Based on multi-layers…

Computer Vision and Pattern Recognition · Computer Science 2023-07-13 Lujie Xia , Ziluo Ding , Rui Zhao , Jiyuan Zhang , Lei Ma , Zhaofei Yu , Tiejun Huang , Ruiqin Xiong

An extensible statistical framework for detecting anomalous time series including those with heavy-tailed distributions and non-stationarity in higher-order moments is introduced based on penalized likelihood distributional regression.…

Computation · Statistics 2020-02-04 Cole Sodja

One of the classic data mining tasks is to discover bursts, time intervals, where events occur at abnormally high rate. In this paper we revisit Kleinberg's seminal work, where bursts are discovered by using exponential distribution with a…

Data Structures and Algorithms · Computer Science 2019-02-06 Nikolaj Tatti

This paper addresses the problem of detecting time series outliers, focusing on systems with repetitive behavior, such as industrial robots operating on production lines.Notable challenges arise from the fact that a task performed multiple…

Artificial Intelligence · Computer Science 2026-02-13 Charlotte Lacoquelle , Xavier Pucel , Louise Travé-Massuyès , Axel Reymonet , Benoît Enaux

We study Bayesian inference in the spiked covariance model, where a small number of spiked eigenvalues dominate the spectrum. Our goal is to infer the spiked eigenvalues, their corresponding eigenvectors, and the number of spikes, providing…

Statistics Theory · Mathematics 2025-08-20 Kwangmin Lee , Sewon Park , Seongmin Kim , Jaeyong Lee

The information contained in a time series is more than what the values themselves are. In this paper, the Time-variant Local Autocorrelated Polynomial model with Kalman filter is proposed to model the underlying dynamics of a time series…

Applications · Statistics 2021-02-16 Shixiong Wang , Chongshou Li , Andrew Lim

Key Performance Indicators (KPI), which are essentially time series data, have been widely used to indicate the performance of telecom networks. Based on the given KPIs, a large set of anomaly detection algorithms have been deployed for…

Machine Learning · Computer Science 2023-05-26 Hamza Bodor , Thai V. Hoang , Zonghua Zhang

With the sensor scaling of next-generation Brain-Machine Interface (BMI) systems, the massive A/D conversion and analog multiplexing at the neural frontend poses a challenge in terms of power and data rates for wireless and implantable…

Signal Processing · Electrical Eng. & Systems 2024-05-15 Ye Ke , Arindam Basu
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