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    This study introduces a deep learning method to analyze brain activity, revealing stronger nonlinear network relationships in males compared to females. This approach offers new insights beyond traditional linear functional connectivity (FC).

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    Area of Science:

    • Neuroscience
    • Computational Neuroscience
    • Brain Network Analysis

    Background:

    • Functional connectivity (FC) commonly uses linear correlation to interpret brain activity.
    • Linear methods overlook nonlinear dependencies that may hold crucial information.
    • Existing FC approaches may not fully capture complex inter-regional brain dynamics.

    Purpose of the Study:

    • To develop a deep learning approach for capturing nonlinear temporal relationships between brain networks.
    • To identify sex-based differences in brain network interactions.
    • To offer a complementary interpretation of functional brain activity beyond linear FC.

    Main Methods:

    • Utilized a deep learning framework comprising an encoder and a similarity metric.
    • Employed independent component analysis (ICA) to estimate time courses.
    • Learned domain-specific embeddings to measure nonlinear functional relationships between networks.

    Main Results:

    • Male subjects showed stronger nonlinear network-network relationships than female subjects.
    • The deep learning approach captured intra-network relationships, particularly between cognitive control and visual networks.
    • Significant sex differences were observed in these intra-network relationships.

    Conclusions:

    • The deep learning method effectively captures nonlinear brain network interactions.
    • Nonlinear functional relationships differ between sexes, with males exhibiting stronger connections.
    • This approach provides complementary insights to traditional FC, highlighting sex-specific network dynamics.