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Dan T, Huang Z, Cai H, Lyday RG, Laurienti PJ, Wu G. Uncovering shape signatures of resting-state functional connectivity by geometric deep learning on Riemannian manifold. Hum Brain Mapp 2022; 43:3970-3986. [PMID: 35538672 PMCID: PMC9374896 DOI: 10.1002/hbm.25897] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/28/2021] [Revised: 04/13/2022] [Accepted: 04/20/2022] [Indexed: 11/21/2022] Open
Abstract
Functional neural activities manifest geometric patterns, as evidenced by the evolving network topology of functional connectivities (FC) even in the resting state. In this work, we propose a novel manifold‐based geometric neural network for functional brain networks (called “Geo‐Net4Net” for short) to learn the intrinsic low‐dimensional feature representations of resting‐state brain networks on the Riemannian manifold. This tool allows us to answer the scientific question of how the spontaneous fluctuation of FC supports behavior and cognition. We deploy a set of positive maps and rectified linear unit (ReLU) layers to uncover the intrinsic low‐dimensional feature representations of functional brain networks on the Riemannian manifold taking advantage of the symmetric positive‐definite (SPD) form of the correlation matrices. Due to the lack of well‐defined ground truth in the resting state, existing learning‐based methods are limited to unsupervised methodologies. To go beyond this boundary, we propose to self‐supervise the feature representation learning of resting‐state functional networks by leveraging the task‐based counterparts occurring before and after the underlying resting state. With this extra heuristic, our Geo‐Net4Net allows us to establish a more reasonable understanding of resting‐state FCs by capturing the geometric patterns (aka. spectral/shape signature) associated with resting states on the Riemannian manifold. We have conducted extensive experiments on both simulated data and task‐based functional resonance magnetic imaging (fMRI) data from the Human Connectome Project (HCP) database, where our Geo‐Net4Net not only achieves more accurate change detection results than other state‐of‐the‐art counterpart methods but also yields ubiquitous geometric patterns that manifest putative insights into brain function.
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Affiliation(s)
- Tingting Dan
- School of Computer Science and Engineering, South China University of Technology, Guangzhou, China
| | - Zhuobin Huang
- School of Computer Science and Engineering, South China University of Technology, Guangzhou, China
| | - Hongmin Cai
- School of Computer Science and Engineering, South China University of Technology, Guangzhou, China
| | - Robert G Lyday
- Department of Radiology, Wake Forest School of Medicine, Winston Salem, North Carolina, USA
| | - Paul J Laurienti
- Department of Radiology, Wake Forest School of Medicine, Winston Salem, North Carolina, USA
| | - Guorong Wu
- Department of Psychiatry, University of North Carolina at Chapel Hill, Chapel Hill, North Carolina, USA.,Department of Computer Science, University of North Carolina at Chapel Hill, Chapel Hill, North Carolina, USA.,Department of Statistics and Operations Research, University of North Carolina at Chapel Hill, Chapel Hill, North Carolina, USA.,Carolina Institute for Developmental Disabilities (CIDD), University of North Carolina at Chapel Hill, Chapel Hill, North Carolina, USA.,UNC NeuroScience Center, University of North Carolina at Chapel Hill, Chapel Hill, North Carolina, USA
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