Functional Connectome Fingerprinting Through Tucker Tensor Decomposition

The human functional connectome (FC) is a representation of the functional couplings between brain regions derived from blood oxygen level-dependent (BOLD) signals. Over the past decade, studies related to FC fingerprinting have sought to uncover functional patterns that enable uniquely identifying...

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Main Authors: Vitor Carvalho, Mintao Liu, Jaroslaw Harezlak, Ana María Estrada Gómez, Joaquín Goñi
Format: Article
Language:English
Published: MDPI AG 2025-04-01
Series:Applied Sciences
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Online Access:https://www.mdpi.com/2076-3417/15/9/4821
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author Vitor Carvalho
Mintao Liu
Jaroslaw Harezlak
Ana María Estrada Gómez
Joaquín Goñi
author_facet Vitor Carvalho
Mintao Liu
Jaroslaw Harezlak
Ana María Estrada Gómez
Joaquín Goñi
author_sort Vitor Carvalho
collection DOAJ
description The human functional connectome (FC) is a representation of the functional couplings between brain regions derived from blood oxygen level-dependent (BOLD) signals. Over the past decade, studies related to FC fingerprinting have sought to uncover functional patterns that enable uniquely identifying individuals across repeated scanning sessions, hence demonstrating the stability and distinctiveness of functional brain organization. In this study, it is hypothesized that tensor decomposition techniques, given their ability to project high-dimensional data into lower-dimensional spaces, enable detecting the brain fingerprint with high accuracy. A mathematical framework based on Tucker decomposition is presented to uncover the FC fingerprint of 426 unrelated participants from the Young-Adult Human Connectome Project (HCP) Dataset. An analysis of how brain parcellation granularity, decomposition rank, and scan length relate to within- and between-condition (resting state-task) fingerprinting was conducted. Relative to FC matrices as well as to Principal Components Analysis (PCA), tensor decomposition significantly increases the functional connectome’s fingerprint. For parcellation granularity of 214 in the within-condition setting, an improvement of 11–36% was seen across all fMRI conditions. Similarly, a substantial improvement, ranging from 43 to 72%, was observed in the between-condition setting relative to FC matrices. Compared to matching rates obtained directly on FCs and when applying other data-driven decomposition methods, Tucker decomposition led to higher or the same level of matching rates for all analyses. Furthermore, in the context of between-condition fingerprinting, results from the proposed framework suggest that partially sampling time points from resting-state time series is sufficient to uncover FC fingerprints with high accuracy.
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spelling doaj-art-a925bf695f1d415aa42594f8b2def1b52025-08-20T01:49:09ZengMDPI AGApplied Sciences2076-34172025-04-01159482110.3390/app15094821Functional Connectome Fingerprinting Through Tucker Tensor DecompositionVitor Carvalho0Mintao Liu1Jaroslaw Harezlak2Ana María Estrada Gómez3Joaquín Goñi4Edwardson School of Industrial Engineering, Purdue University, West Lafayette, IN 47907, USAEdwardson School of Industrial Engineering, Purdue University, West Lafayette, IN 47907, USAInstitute of Mathematics, University of Wroclaw, 50-384 Wroclaw, PolandEdwardson School of Industrial Engineering, Purdue University, West Lafayette, IN 47907, USAEdwardson School of Industrial Engineering, Purdue University, West Lafayette, IN 47907, USAThe human functional connectome (FC) is a representation of the functional couplings between brain regions derived from blood oxygen level-dependent (BOLD) signals. Over the past decade, studies related to FC fingerprinting have sought to uncover functional patterns that enable uniquely identifying individuals across repeated scanning sessions, hence demonstrating the stability and distinctiveness of functional brain organization. In this study, it is hypothesized that tensor decomposition techniques, given their ability to project high-dimensional data into lower-dimensional spaces, enable detecting the brain fingerprint with high accuracy. A mathematical framework based on Tucker decomposition is presented to uncover the FC fingerprint of 426 unrelated participants from the Young-Adult Human Connectome Project (HCP) Dataset. An analysis of how brain parcellation granularity, decomposition rank, and scan length relate to within- and between-condition (resting state-task) fingerprinting was conducted. Relative to FC matrices as well as to Principal Components Analysis (PCA), tensor decomposition significantly increases the functional connectome’s fingerprint. For parcellation granularity of 214 in the within-condition setting, an improvement of 11–36% was seen across all fMRI conditions. Similarly, a substantial improvement, ranging from 43 to 72%, was observed in the between-condition setting relative to FC matrices. Compared to matching rates obtained directly on FCs and when applying other data-driven decomposition methods, Tucker decomposition led to higher or the same level of matching rates for all analyses. Furthermore, in the context of between-condition fingerprinting, results from the proposed framework suggest that partially sampling time points from resting-state time series is sufficient to uncover FC fingerprints with high accuracy.https://www.mdpi.com/2076-3417/15/9/4821functional connectometensor decompositionfingerprintingdimensionality reduction
spellingShingle Vitor Carvalho
Mintao Liu
Jaroslaw Harezlak
Ana María Estrada Gómez
Joaquín Goñi
Functional Connectome Fingerprinting Through Tucker Tensor Decomposition
Applied Sciences
functional connectome
tensor decomposition
fingerprinting
dimensionality reduction
title Functional Connectome Fingerprinting Through Tucker Tensor Decomposition
title_full Functional Connectome Fingerprinting Through Tucker Tensor Decomposition
title_fullStr Functional Connectome Fingerprinting Through Tucker Tensor Decomposition
title_full_unstemmed Functional Connectome Fingerprinting Through Tucker Tensor Decomposition
title_short Functional Connectome Fingerprinting Through Tucker Tensor Decomposition
title_sort functional connectome fingerprinting through tucker tensor decomposition
topic functional connectome
tensor decomposition
fingerprinting
dimensionality reduction
url https://www.mdpi.com/2076-3417/15/9/4821
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