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Inspired by edge detection based on the decay behavior of wavelet coefficients, we introduce a (near) linear-time algorithm for detecting the local regularity in non-uniformly sampled multivariate signals. Our approach quantifies regularity…

Numerical Analysis · Mathematics 2025-07-21 Sara Avesani , Gianluca Giacchi , Michael Multerer

Keypoint detection underpins many vision tasks, including pose estimation, viewpoint recovery, and 3D reconstruction, yet modern neural models remain vulnerable to small input perturbations. Despite its importance, formal robustness…

Computer Vision and Pattern Recognition · Computer Science 2026-03-09 Xusheng Luo , Changliu Liu

Uncertain data streams have been widely generated in many Web applications. The uncertainty in data streams makes anomaly detection from sensor data streams far more challenging. In this paper, we present a novel framework that supports…

Artificial Intelligence · Computer Science 2016-07-21 Jiangang Ma , Le Sun , Hua Wang , Yanchun Zhang , Uwe Aickelin

Time series forecasting is an important and forefront task in many real-world applications. However, most of time series forecasting techniques assume that the training data is clean without anomalies. This assumption is unrealistic since…

Machine Learning · Computer Science 2024-02-06 Hao Cheng , Qingsong Wen , Yang Liu , Liang Sun

Periodicity is often studied in timeseries modelling with autoregressive methods but is less popular in the kernel literature, particularly for higher dimensional problems such as in textures, crystallography, and quantum mechanics. Large…

Machine Learning · Statistics 2018-05-15 Anthony Tompkins , Fabio Ramos

Detecting changes in high-dimensional vectors presents significant challenges, especially when the post-change distribution is unknown and time-varying. This paper introduces a novel robust algorithm for correlation change detection in…

Methodology · Statistics 2024-10-07 Assma Alghamdi , Taposh Banerjee , Jayant Rajgopal

We study the problem of robust time series analysis under the standard auto-regressive (AR) time series model in the presence of arbitrary outliers. We devise an efficient hard thresholding based algorithm which can obtain a consistent…

Machine Learning · Computer Science 2016-07-04 Kush Bhatia , Prateek Jain , Parameswaran Kamalaruban , Purushottam Kar

The stability and persistence of web services are important to Internet companies to improve user experience and business performances. To keep eyes on numerous metrics and report abnormal situations, time series anomaly detection methods…

Applications · Statistics 2020-08-24 Tianwei Li , Yitong Geng , Huai Jiang

Most multivariate outlier detection procedures ignore the spatial dependency of observations, which is present in many real data sets from various application areas. This paper introduces a new outlier detection method that accounts for a…

Methodology · Statistics 2024-01-25 Patricia Puchhammer , Peter Filzmoser

Time series analysis finds wide applications in fields such as weather forecasting, anomaly detection, and behavior recognition. Previous methods attempted to model temporal variations directly using 1D time series. However, this has been…

Machine Learning · Computer Science 2024-11-08 Qiang Wu , Gechang Yao , Zhixi Feng , Shuyuan Yang

In radio astronomy, accurate calibration is of crucial importance for the new generation of radio interferometers. More specifically, because of the potential presence of outliers which affect the measured data, robustness needs to be…

Instrumentation and Methods for Astrophysics · Physics 2018-08-01 Virginie Ollier , Mohammed Nabil El Korso , André Ferrari , Rémy Boyer , Pascal Larzabal

The wireless channel changes continuously with time and frequency and the block-fading assumption, which is popular in many theoretical analyses, never holds true in practical scenarios. This discrepancy is critical for user activity…

Information Theory · Computer Science 2024-10-23 Jianan Bai , Erik G. Larsson

We demonstrate that extremely rapid and weak periodic and non-periodic signals can easily be detected by using the autocorrelation of intensity as a function of time. We use standard radio-astronomical observations that have artificial…

Instrumentation and Methods for Astrophysics · Physics 2018-05-16 Ermanno F. Borra , Jonathan D. Romney , Eric Trottier

Defect detection is a critical research area in artificial intelligence. Recently, synthetic data-based self-supervised learning has shown great potential on this task. Although many sophisticated synthesizing strategies exist, little…

Computer Vision and Pattern Recognition · Computer Science 2023-10-12 Yuxuan Cai , Dingkang Liang , Dongliang Luo , Xinwei He , Xin Yang , Xiang Bai

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

Change point detection is becoming increasingly popular in many application areas. On one hand, most of the theoretically-justified methods are investigated in an ideal setting without model violations, or merely robust against identical…

Methodology · Statistics 2021-10-26 Mengchu Li , Yi Yu

We propose a topological framework for the detection of Hopf bifurcations directly from time series, based on persistent homology applied to phase space reconstructions via Takens embedding within the framework of Topological Data Analysis.…

Dynamical Systems · Mathematics 2026-03-31 Jhonathan Barrios , Yásser Echávez , Carlos F. Álvarez

We introduce a novel ridge detection algorithm for time-frequency (TF) analysis, particularly tailored for intricate nonstationary time series encompassing multiple non-sinusoidal oscillatory components. The algorithm is rooted in the…

Numerical Analysis · Mathematics 2024-08-20 Yan-Wei Su , Gi-Ren Liu , Yuan-Chung Sheu , Hau-Tieng Wu

Extraction of information in the form of oscillations from noisy data of natural phenomena such as sounds, earthquakes, ionospheric and brain activity, and various emissions from cosmic objects is extremely difficult. As a method for…

Time-varying non-Euclidean random objects are playing a growing role in modern data analysis, and periodicity is a fundamental characteristic of time-varying data. However, quantifying periodicity in general non-Euclidean random objects…

Methodology · Statistics 2025-10-22 Jiazhen Xu , Andrew T. A. Wood , Tao Zou