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    This study introduces GIN-MAS, a multitask analysis system using graph isomorphism networks, to evaluate network robustness comprehensively. GIN-MAS accurately assesses multiple robustness metrics simultaneously, outperforming existing methods and offering faster evaluations.

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    Area of Science:

    • Network science
    • Computer science
    • Systems engineering

    Background:

    • Network robustness is vital for system resilience against failures and attacks.
    • Current methods for evaluating network robustness provide a single metric, which is insufficient for comprehensive analysis.
    • Assessing network robustness is technically challenging, necessitating advanced evaluation techniques.

    Purpose of the Study:

    • To propose a novel multitask analysis system (GIN-MAS) for evaluating network robustness.
    • To develop a system capable of simultaneously assessing multiple network robustness metrics.
    • To improve the accuracy and efficiency of network robustness evaluation.

    Main Methods:

    • Formulated a destruction-based robustness metric using the destruction threshold.
    • Employed a multitask learning approach to learn connectivity robustness, controllability robustness, destruction threshold, and maximum connected components.
    • Constructed a five-layer graph isomorphism network (GIN) for simultaneous evaluation of four robustness metrics.

    Main Results:

    • GIN-MAS demonstrated superior performance over nine other methods, including CNN-based evaluators, across diverse network types.
    • The multitask learning scheme facilitated parameter and knowledge sharing, preventing overfitting and enhancing performance.
    • GIN-MAS achieved significantly faster multitask evaluations compared to single-task evaluators.

    Conclusions:

    • GIN-MAS offers a more comprehensive and efficient approach to network robustness evaluation.
    • Multitask learning enhances robustness assessment by enabling cross-task knowledge sharing.
    • Deep neural networks, particularly GIN-MAS, show significant potential for complex network analysis and robustness evaluation.