Parallel Factorization to Implement Group Analysis in Brain Networks Estimation

When dealing with complex functional brain networks, group analysis still represents an open issue. In this paper, we investigated the potential of an innovative approach based on PARAllel FActorization (PARAFAC) for the extraction of the grand average connectivity matrices from both simulated and r...

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Main Authors: Andrea Ranieri, Floriana Pichiorri, Emma Colamarino, Valeria de Seta, Donatella Mattia, Jlenia Toppi
Format: Article
Language:English
Published: MDPI AG 2023-02-01
Series:Sensors
Subjects:
Online Access:https://www.mdpi.com/1424-8220/23/3/1693
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author Andrea Ranieri
Floriana Pichiorri
Emma Colamarino
Valeria de Seta
Donatella Mattia
Jlenia Toppi
author_facet Andrea Ranieri
Floriana Pichiorri
Emma Colamarino
Valeria de Seta
Donatella Mattia
Jlenia Toppi
author_sort Andrea Ranieri
collection DOAJ
description When dealing with complex functional brain networks, group analysis still represents an open issue. In this paper, we investigated the potential of an innovative approach based on PARAllel FActorization (PARAFAC) for the extraction of the grand average connectivity matrices from both simulated and real datasets. The PARAFAC approach was solved using three different numbers of rank-one tensors (PAR-FACT). Synthetic data were parametrized according to different levels of three parameters: network dimension (NODES), number of observations (SAMPLE-SIZE), and noise (SWAP-CON) in order to investigate the way they affect the grand average estimation. PARAFAC was then tested on a real connectivity dataset, derived from EEG data of 17 healthy subjects performing wrist extension with left and right hand separately. Findings on both synthetic and real data revealed the potential of the PARAFAC algorithm as a useful tool for grand average extraction. As expected, the best performances in terms of FPR, FNR, and AUC were achieved for great values of sample size and low noise level. A crucial role has been revealed for the PAR-FACT parameter, revealing that an increase in the number of rank-one tensors solving the PARAFAC problem leads to an increase in FPR values and, thus, to a worse grand average estimation.
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spelling doaj.art-db65ae57bca944efbb6d748edb0a7db62023-11-16T18:04:47ZengMDPI AGSensors1424-82202023-02-01233169310.3390/s23031693Parallel Factorization to Implement Group Analysis in Brain Networks EstimationAndrea Ranieri0Floriana Pichiorri1Emma Colamarino2Valeria de Seta3Donatella Mattia4Jlenia Toppi5Department of Computer, Control and Management Engineering, Sapienza University of Rome, Via Ariosto, 25, 00185 Rome, ItalyNeuroelectrical Imaging and Brain Computer Interface Lab, IRCCS Fondazione Santa Lucia, 00179 Rome, ItalyDepartment of Computer, Control and Management Engineering, Sapienza University of Rome, Via Ariosto, 25, 00185 Rome, ItalyDepartment of Computer, Control and Management Engineering, Sapienza University of Rome, Via Ariosto, 25, 00185 Rome, ItalyNeuroelectrical Imaging and Brain Computer Interface Lab, IRCCS Fondazione Santa Lucia, 00179 Rome, ItalyDepartment of Computer, Control and Management Engineering, Sapienza University of Rome, Via Ariosto, 25, 00185 Rome, ItalyWhen dealing with complex functional brain networks, group analysis still represents an open issue. In this paper, we investigated the potential of an innovative approach based on PARAllel FActorization (PARAFAC) for the extraction of the grand average connectivity matrices from both simulated and real datasets. The PARAFAC approach was solved using three different numbers of rank-one tensors (PAR-FACT). Synthetic data were parametrized according to different levels of three parameters: network dimension (NODES), number of observations (SAMPLE-SIZE), and noise (SWAP-CON) in order to investigate the way they affect the grand average estimation. PARAFAC was then tested on a real connectivity dataset, derived from EEG data of 17 healthy subjects performing wrist extension with left and right hand separately. Findings on both synthetic and real data revealed the potential of the PARAFAC algorithm as a useful tool for grand average extraction. As expected, the best performances in terms of FPR, FNR, and AUC were achieved for great values of sample size and low noise level. A crucial role has been revealed for the PAR-FACT parameter, revealing that an increase in the number of rank-one tensors solving the PARAFAC problem leads to an increase in FPR values and, thus, to a worse grand average estimation.https://www.mdpi.com/1424-8220/23/3/1693connectivity estimationtensor decompositionparallel factorizationgroup analysisEEGpartial directed coherence
spellingShingle Andrea Ranieri
Floriana Pichiorri
Emma Colamarino
Valeria de Seta
Donatella Mattia
Jlenia Toppi
Parallel Factorization to Implement Group Analysis in Brain Networks Estimation
Sensors
connectivity estimation
tensor decomposition
parallel factorization
group analysis
EEG
partial directed coherence
title Parallel Factorization to Implement Group Analysis in Brain Networks Estimation
title_full Parallel Factorization to Implement Group Analysis in Brain Networks Estimation
title_fullStr Parallel Factorization to Implement Group Analysis in Brain Networks Estimation
title_full_unstemmed Parallel Factorization to Implement Group Analysis in Brain Networks Estimation
title_short Parallel Factorization to Implement Group Analysis in Brain Networks Estimation
title_sort parallel factorization to implement group analysis in brain networks estimation
topic connectivity estimation
tensor decomposition
parallel factorization
group analysis
EEG
partial directed coherence
url https://www.mdpi.com/1424-8220/23/3/1693
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