Going from lines to triangles: A formulation for time-frequency moments of time-series with application to study fMRI

Ashkan Faghiri, Armin Iraji, Noah Lewis, Kun Yang, Koko Ishizuka, Akira Sawa, Tulay Adali, Vince Calhoun

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Statistical moments provide us with quantitative measures of the data and estimating these moments in a time-resolved fashion is challenging but important, especially for analyzing human brain data. In this work, we present our attempt at providing a general pipeline for finding different moments (of different orders), which are also resolved in both time and frequency. We showcase the application of our method by analyzing a resting-state functional magnetic resonance imaging dataset. Here we find that individuals with first-episode psychosis (FEP) stay significantly more (compared to controls) in a state which has a very strong pair-wise (two-way) connectivity between salience and default mode networks. That same state also shows strong tri-wise (three-way) connectivity with networks other than the default mode, which points to the fact that different interaction orders have different and complementary information. Our proposed approach can extract meaningful and structured information by calculating (typically ignored) different order moments that are resolved in both time and frequency of the moment space as opposed to sample space.

Original languageEnglish (US)
Title of host publicationIVMSP 2022 - 2022 IEEE 14th Image, Video, and Multidimensional Signal Processing Workshop
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781665478229
DOIs
StatePublished - 2022
Event14th IEEE Image, Video, and Multidimensional Signal Processing Workshop, IVMSP 2022 - Nafplio, Greece
Duration: Jun 26 2022Jun 29 2022

Publication series

NameIVMSP 2022 - 2022 IEEE 14th Image, Video, and Multidimensional Signal Processing Workshop

Conference

Conference14th IEEE Image, Video, and Multidimensional Signal Processing Workshop, IVMSP 2022
Country/TerritoryGreece
CityNafplio
Period6/26/226/29/22

Keywords

  • beyond pairwise
  • fMRI
  • functional connectivity
  • statistical moments
  • time-frequency analysis

ASJC Scopus subject areas

  • Computer Vision and Pattern Recognition
  • Signal Processing
  • Media Technology

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