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Learning Optimal Spectral Clustering for Functional Brain Network Generation and Classification.

Jiacheng Hou, Zhenjie Song, Chenfei Ye

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    |February 11, 2026
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    Summary
    This summary is machine-generated.

    This study introduces Learning Optimal Spectral Clustering (LOSC) for functional brain network (FBN) analysis. LOSC improves classification accuracy for neurological and psychiatric disorders by effectively utilizing the brain's small-world topology.

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    Area of Science:

    • Neuroscience
    • Computational Biology
    • Machine Learning

    Background:

    • Functional brain network (FBN) analysis is crucial for understanding brain organization and diagnosing neurological/psychiatric disorders.
    • FBNs possess a small-world topology with functional clusters, where abnormalities are linked to disease.
    • Current methods often fail to fully exploit this topology, limiting performance and interpretability.

    Purpose of the Study:

    • To propose a novel framework, Learning Optimal Spectral Clustering (LOSC), that integrates FBN generation, clustering, and classification.
    • To exploit the small-world topology of FBNs through a graph theory-grounded loss function.
    • To improve the accuracy and interpretability of FBN analysis for disease diagnosis.

    Main Methods:

    • LOSC learns brain connectivity in a nonlinear spatio-spectral embedding space using a proposed Rayleigh Quotient Loss (RQL).
    • The framework preserves small-world properties in generated FBNs.
    • It partitions FBNs into functional clusters and utilizes intra- and inter-cluster relations for classification.

    Main Results:

    • LOSC achieved consistent accuracy gains of 2.0%, 3.6%, and 2.6% on the ABIDE, ADHD-200, and HCP datasets, respectively.
    • The proposed RQL bridges graph theory and learning-based FBN analysis.
    • Discovered functional clusters align with known neuropathology and aid in identifying new biomarkers.

    Conclusions:

    • LOSC offers improved brain network classification accuracy by effectively leveraging small-world functional clusters.
    • The framework provides theoretical grounding by integrating graph theory principles into machine learning.
    • LOSC enhances interpretability in FBN analysis, aiding in biomarker discovery for neurological and psychiatric disorders.