A multitaper, causal decomposition for stochastic, multivariate time series: Application to high-frequency calcium imaging data

Andrew T. Sornborger, James D. Lauderdale

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Neural data analysis has increasingly incorporated causal information to study circuit connectivity. Dimensional reduction forms the basis of most analyses of large multivariate time series. Here, we present a new, multitaper-based decomposition for stochastic, multivariate time series that acts on the covariance of the time series at all lags, C (τ), as opposed to standard methods that decompose the time series, X(t), using only information at zero-lag. In both simulated and neural imaging examples, we demonstrate that methods that neglect the full causal structure may be discarding important dynamical information in a time series.

Original languageEnglish
Title of host publicationConference Record of the 50th Asilomar Conference on Signals, Systems and Computers, ACSSC 2016
EditorsMichael B. Matthews
PublisherIEEE Computer Society
Pages1056-1060
Number of pages5
ISBN (Electronic)9781538639542
DOIs
StatePublished - 1 Mar 2017
Externally publishedYes
Event50th Asilomar Conference on Signals, Systems and Computers, ACSSC 2016 - Pacific Grove, United States
Duration: 6 Nov 20169 Nov 2016

Publication series

NameConference Record - Asilomar Conference on Signals, Systems and Computers
ISSN (Print)1058-6393

Conference

Conference50th Asilomar Conference on Signals, Systems and Computers, ACSSC 2016
Country/TerritoryUnited States
CityPacific Grove
Period6/11/169/11/16

Keywords

  • Causality
  • Dimension Reduction
  • Matrix Decomposition
  • Multitaper Methods
  • Multivariate Time Series
  • Neural Imaging
  • Spectral Analysis

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