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Early recognition of abnormal rhythms in ECG signals is crucial for monitoring and diagnosing patients' cardiac conditions, increasing the success rate of the treatment. Classifying abnormal rhythms into exact categories is very challenging…

Machine Learning · Computer Science 2019-12-18 Jing Zhang , Jing Tian , Yang Cao , Yuxiang Yang , Xiaobin Xu

This paper presents a general framework for modeling dependence in multivariate time series. Its fundamental approach relies on decomposing each signal in a system into various frequency components and then studying the dependence…

Methodology · Statistics 2021-04-01 Hernando Ombao , Marco Pinto

We present an approach for the detection of sharp change points (short-lived and persistent) in nonlinear and nonstationary dynamic systems under high levels of noise by tracking the local phase and amplitude synchronization among the…

Data Analysis, Statistics and Probability · Physics 2020-08-04 Ashif Sikandar Iquebal , Satish Bukkapatnam , Arun Srinivasa

We present a simple algorithm for detecting oscillatory behavior in discrete data. The data is used as an input driving force acting on a set of simulated damped oscillators. By monitoring the energy of the simulated oscillators, we can…

Quantitative Methods · Quantitative Biology 2012-08-27 David Hsu , Murielle Hsu , He Huang , Erwin B. Montgomery,

A new model for time series with a specific oscillation pattern is proposed. The model consists of a hidden phase process controlling the speed of polling and a nonparametric curve characterizing the pattern, leading together to a…

Statistics Theory · Mathematics 2016-08-15 Rainer Dahlhaus , Thierry Dumont , Sylvain Le Corff , Jan C. Neddermeyer

We consider inference problems for high-dimensional (HD) functional data with a dense number (T) of repeated measurements taken for a large number of p variables from a small number of n experimental units. The spatial and temporal…

Methodology · Statistics 2020-05-06 Shawn Santo , Ping-Shou Zhong

Wavelets provide the flexibility to analyse stochastic processes at different scales. Here, we apply them to multivariate point processes as a means of detecting and analysing unknown non-stationarity, both within and across data streams.…

Methodology · Statistics 2020-11-04 Edward A. K. Cohen , Alexander J. Gibberd

The estimation of the frequencies of multiple superimposed exponentials in noise is an important research problem due to its various applications from engineering to chemistry. In this paper, we propose an efficient and accurate algorithm…

Numerical Analysis · Mathematics 2016-05-05 Shanglin Ye , Elias Aboutanios

Algorithms are developed for the quickest detection of a change in statistically periodic processes. These are processes in which the statistical properties are nonstationary but repeat after a fixed time interval. It is assumed that the…

Methodology · Statistics 2023-03-07 Yousef Oleyaeimotlagh , Taposh Banerjee , Ahmad Taha , Eugene John

Online detection of instantaneous changes in the generative process of a data sequence generally focuses on retrospective inference of such change points without considering their future occurrences. We extend the Bayesian Online Change…

Machine Learning · Computer Science 2020-06-25 Diego Agudelo-España , Sebastian Gomez-Gonzalez , Stefan Bauer , Bernhard Schölkopf , Jan Peters

Radar must adapt to changing environments, and we propose changepoint detection as a method to do so. In the world of increasingly congested radio frequencies, radars must adapt to avoid interference. Many radar systems employ the…

Systems and Control · Electrical Eng. & Systems 2022-07-15 Samuel Haug , Austin Egbert , Robert J. Marks , Charles Baylis , Anthony Martone

Modern time series are usually composed of multiple oscillatory components, with time-varying frequency and amplitude contaminated by noise. The signal processing mission is further challenged if each component has an oscillatory pattern,…

Signal Processing · Electrical Eng. & Systems 2021-10-04 Marcelo A. Colominas , Hau-Tieng Wu

This paper presents a practical approach for detecting non-stationarity in time series prediction. This method is called SAFE and works by monitoring the evolution of the spectral contents of time series through a distance function. This…

Machine Learning · Computer Science 2018-05-18 Arief Koesdwiady , Fakhri Karray

2D convolution is widely used in sound event detection (SED) to recognize two dimensional time-frequency patterns of sound events. However, 2D convolution enforces translation equivariance on sound events along both time and frequency axis…

Audio and Speech Processing · Electrical Eng. & Systems 2022-07-05 Hyeonuk Nam , Seong-Hu Kim , Byeong-Yun Ko , Yong-Hwa Park

Discrimination between non-stationarity and long-range dependency is a difficult and long-standing issue in modelling financial time series. This paper uses an adaptive spectral technique which jointly models the non-stationarity and…

Statistical Finance · Quantitative Finance 2019-02-12 Nick James , Roman Marchant , Richard Gerlach , Sally Cripps

This paper studies methods for testing and estimating change-points in the covariance structure of a high-dimensional linear time series. The assumed framework allows for a large class of multivariate linear processes (including vector…

Statistics Theory · Mathematics 2020-01-14 Ansgar Steland

We propose a bootstrap-based test to detect a mean shift in a sequence of high-dimensional observations with unknown time-varying heteroscedasticity. The proposed test builds on the U-statistic based approach in Wang et al. (2022), targets…

Methodology · Statistics 2023-11-17 Teng Wu , Stanislav Volgushev , Xiaofeng Shao

Change-point detection in a time series aims to discover the time points at which some unknown underlying physical process that generates the time-series data has changed. We found that existing approaches become less accurate when the…

Machine Learning · Computer Science 2020-08-04 Varsha Suresh , Wei Tsang Ooi

Interactions among people or objects are often dynamic in nature and can be represented as a sequence of networks, each providing a snapshot of the interactions over a brief period of time. An important task in analyzing such evolving…

Social and Information Networks · Computer Science 2016-06-17 Leto Peel , Aaron Clauset

The estimation of static parameters in dynamical systems and control theory has been extensively studied, with significant progress made in estimating varying parameters in specific system types. Suppose, in the general case, we have data…

Optimization and Control · Mathematics 2025-07-10 Jamiree Harrison , Enoch Yeung