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The monitoring and management of numerous and diverse time series data at Alibaba Group calls for an effective and scalable time series anomaly detection service. In this paper, we propose RobustTAD, a Robust Time series Anomaly Detection…

Machine Learning · Computer Science 2021-09-21 Jingkun Gao , Xiaomin Song , Qingsong Wen , Pichao Wang , Liang Sun , Huan Xu

Functional data analysis offers a diverse toolkit of statistical methods tailored for analyzing samples of real-valued random functions. Recently, samples of time-varying random objects, such as time-varying networks, have been increasingly…

Methodology · Statistics 2025-03-10 Jiazhen Xu , Andrew T. A. Wood , Tao Zou

Indoor localization is critical for IoT applications, yet challenges such as non-Gaussian noise, environmental interference, and measurement outliers hinder the robustness of traditional methods. Existing approaches, including Kalman…

Systems and Control · Electrical Eng. & Systems 2025-05-14 Zhiyi Zhou , Dongzhuo Liu , Songtao Guo , Yuanyuan Yang

Phase retrieval (PR) is a popular research topic in signal processing and machine learning. However, its performance degrades significantly when the measurements are corrupted by noise or outliers. To address this limitation, we propose a…

Optimization and Control · Mathematics 2025-05-30 Jun Fan , Ailing Yan , Xianchao Xiu , Wanquan Liu

The analysis of multivariate time series data is challenging due to the various frequencies of signal changes that can occur over both short and long terms. Furthermore, standard deep learning models are often unsuitable for such datasets,…

Machine Learning · Computer Science 2023-06-21 Iman Deznabi , Madalina Fiterau

Malware detection using Hardware Performance Counters (HPCs) offers a promising, low-overhead approach for monitoring program behavior. However, a fundamental architectural constraint, that only a limited number of hardware events can be…

Cryptography and Security · Computer Science 2026-02-10 Eli Propp , Seyed Majid Zahedi

Robust Anomaly Detection (AD) on time series data is a key component for monitoring many complex modern systems. These systems typically generate high-dimensional time series that can be highly noisy, seasonal, and inter-correlated. This…

Machine Learning · Computer Science 2020-07-29 Farzaneh Khoshnevisan , Zhewen Fan , Vitor R. Carvalho

In this paper we present a multiresolution-based method for period determination that is able to deal with unevenly sampled data. This method allows us to detect superimposed periodic signals with lower signal-to-noise ratios than in…

Astrophysics · Physics 2007-05-23 X. Otazu , M. Ribo , J. M. Paredes , M. Peracaula , J. Nunez

Estimating confidence intervals in small or noisy datasets is a challenge in biomolecular research when data contain outliers or high variability. We introduce a robust method combining a hybrid bootstrap procedure with Steiner's most…

Nuclear Experiment · Physics 2025-11-04 Victor V. Golovko

Monitoring complex systems results in massive multivariate time series data, and anomaly detection of these data is very important to maintain the normal operation of the systems. Despite the recent emergence of a large number of anomaly…

Machine Learning · Computer Science 2021-06-14 Liwei Deng , Xuanhao Chen , Yan Zhao , Kai Zheng

This paper introduces a novel spectral M-estimator, called the asymmetric Huber periodogram (AHP), for periodicity detection in time series. The AHP is constructed from trigonometric asymmetric Huber regression, where a specially designed…

Methodology · Statistics 2025-10-30 Tianbo Chen

This paper presents an algorithm for the preprocessing of observation data aimed at improving the robustness of orbit determination tools. Two objectives are fulfilled: obtain a refined solution to the initial orbit determination problem…

Numerical Analysis · Mathematics 2023-11-07 Alberto Fossà , Roberto Armellin , Emmanuel Delande , Matteo Losacco , Francesco Sanfedino

We present a method that allows to distinguish between nearly periodic and strictly periodic time series. To this purpose, we employ a conservative criterion for periodicity, namely that the time series can be interpolated by a periodic…

Data Analysis, Statistics and Probability · Physics 2015-11-11 Gerrit Ansmann

This paper investigates calibration of sensor arrays in the radio astronomy context. Current and future radio telescopes require computationally efficient algorithms to overcome the new technical challenges as large collecting area, wide…

Applications · Statistics 2018-07-31 Virginie Ollier , Mohammed Nabil El Korso , André Ferrari , Rémy Boyer , Pascal Larzabal

Detection of high impedance faults (HIF) has been one of the biggest challenges in the power distribution network. The low current magnitude and diverse characteristics of HIFs make them difficult to be detected by over-current relays.…

Machine Learning · Computer Science 2024-02-06 Yingxiang Liu , Mohammad Razeghi-Jahromi , James Stoupis

Recent and future generation observatories will enable the study of variable astronomical phenomena through their time-domain capabilities. High temporal fidelity will allow for unprecedented investigations into the nature of variable…

Instrumentation and Methods for Astrophysics · Physics 2021-11-16 Michael Gowanlock , Nathaniel R. Butler , David E. Trilling , Andrew McNeill

The product moment covariance is a cornerstone of multivariate data analysis, from which one can derive correlations, principal components, Mahalanobis distances and many other results. Unfortunately the product moment covariance and the…

Methodology · Statistics 2021-05-21 Jakob Raymaekers , Peter J. Rousseeuw

Accurate forecasting of the grid carbon intensity factor (CIF) is critical for enabling demand-side management and reducing emissions in modern electricity systems. Leveraging multiple interrelated time series, CIF prediction is typically…

Machine Learning · Computer Science 2026-01-13 Bowen Zhang , Hongda Tian , Adam Berry , A. Craig Roussac

Robust change-point detection for large-scale data streams has many real-world applications in industrial quality control, signal detection, biosurveillance. Unfortunately, it is highly non-trivial to develop efficient schemes due to three…

Methodology · Statistics 2021-10-18 Ruizhi Zhang , Yajun Mei , Jianjun Shi

Tracking underwater autonomous platforms is often difficult because of noisy, biased, and discretized input data. Classic filters and smoothers based on standard assumptions of Gaussian white noise break down when presented with any of…

Optimization and Control · Mathematics 2019-05-24 Jonathan Jonker , Aleksandr Aravkin , James V. Burke , Gianluigi Pillonetto , Sarah Webster