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Updated: Aug 5, 2026

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Statistical Modelling of Cortical Connectivity Using Non-invasive Electroencephalograms
Published on: November 1, 2019
Spectral organization of individualized connectome harmonics across brain structure, function and cognition
Thomas A W Bolton1,2, Mikkel Schöttner Sieler1, Jagruti Patel1
1Department of Radiology, Lausanne University Hospital and University of Lausanne (CHUV-UNIL), Switzerland.
Biorxiv : the Preprint Server for Biology
|August 1, 2026
Summary
Connectome harmonics reveal a hierarchical organization of the human brain's structural connectivity. This hierarchy links brain structure, function, and cognition across multiple spectral scales.
Area of Science:
- Neuroscience
- Graph Signal Processing
- Brain Imaging
Background:
- Connectome harmonics offer a spectral view of brain connectivity, crucial for understanding structure-function links.
- Key questions involve handling individual differences and interpreting spectral scales in connectome analyses.
Purpose of the Study:
- To investigate the hierarchical organization of the human connectome using subject-specific connectome harmonics.
- To determine appropriate spectral scales for interpreting connectome harmonics.
- To explore the link between structural hierarchy, brain activity, and cognitive performance.
Main Methods:
- Utilized structural and functional MRI data from 875 participants.
- Applied graph signal processing to derive subject-specific connectome harmonics.
- Analyzed harmonic properties (stability, sparsity, localization) across the spectrum.
- Reconstructed brain activity and predicted cognitive performance using harmonic representations.
Main Results:
- Demonstrated a reproducible hierarchical organization of the human connectome via subject-specific harmonics.
- Identified orderly transitions and multiscale families within the harmonic spectrum.
- Showed accurate reconstruction of brain activity and frequency-dependent recruitment of the structural hierarchy.
- Confirmed that combined structural and functional harmonic organization predicts individual cognitive performance.
Conclusions:
- Connectome harmonics represent a hierarchically organized connectome, not just graph-frequency modes.
- This hierarchy bridges brain structure, functional dynamics, and cognition.
- Subject-specific connectome harmonics provide a powerful framework for understanding individual differences in brain function and cognition.
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