A2 Refereed review article in a scientific journal

A review of second-order blind identification methods



Authors: Pan Yan, Matilainen Markus, Taskinen Sara, Nordhausen Klaus

Publisher: WILEY

Publication year: 2022

Journal: Wiley Interdisciplinary Reviews: Computational Statistics

Journal name in source: WILEY INTERDISCIPLINARY REVIEWS-COMPUTATIONAL STATISTICS

Journal acronym: WIRES COMPUT STAT

Article number: ARTN e1550

Volume: 14

Issue: 4

Number of pages: 23

ISSN: 1939-0068

eISSN: 1939-0068

DOI: https://doi.org/10.1002/wics.1550

Self-archived copy’s web address: https://research.utu.fi/converis/portal/detail/Publication/53396154


Abstract
Second-order source separation (SOS) is a data analysis tool which can be used for revealing hidden structures in multivariate time series data or as a tool for dimension reduction. Such methods are nowadays increasingly important as more and more high-dimensional multivariate time series data are measured in numerous fields of applied science. Dimension reduction is crucial, as modeling such high-dimensional data with multivariate time series models is often impractical as the number of parameters describing dependencies between the component time series is usually too high. SOS methods have their roots in the signal processing literature, where they were first used to separate source signals from an observed signal mixture. The SOS model assumes that the observed time series (signals) is a linear mixture of latent time series (sources) with uncorrelated components. The methods make use of the second-order statistics-hence the name "second-order source separation." In this review, we discuss the classical SOS methods and their extensions to more complex settings. An example illustrates how SOS can be performed.This article is categorized under:Statistical Models > Time Series ModelsStatistical and Graphical Methods of Data Analysis > Dimension ReductionData: Types and Structure > Time Series, Stochastic Processes, and Functional Data

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Last updated on 2024-26-11 at 12:07