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    This study introduces a novel hybrid second-order Markov chain model for simulating table tennis matches, including player tactics. A visual analytics system, Tac-Simur, aids in exploring simulation results and identifying performance insights.

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    Area of Science:

    • Sports Analytics
    • Computational Science
    • Human-Computer Interaction

    Background:

    • Simulative analysis in sports offers performance insights but faces challenges in modeling complex competitions and explaining results.
    • Table tennis simulation requires effective methods for characterizing player strategies and competition dynamics.

    Purpose of the Study:

    • To develop a robust model for simulating table tennis competitions, incorporating tactical elements.
    • To create a visual analytics system for interactive exploration and explanation of simulation outcomes.
    • To enhance understanding of player performance and strategic decision-making in table tennis.

    Main Methods:

    • A hybrid second-order Markov chain model was developed to characterize and simulate table tennis match processes.
    • A visual analytics system, Tac-Simur, was designed, integrating the Markov model for interactive exploration.
    • The system allows navigation through players, tactics, and match performance for detailed analysis.

    Main Results:

    • The proposed model effectively simulates table tennis competition, uniquely supporting the inclusion of high-level tactics.
    • Tac-Simur facilitates interactive visual analysis, enabling users to explore simulation tasks and interpret results.
    • Case studies with domain experts demonstrated the system's effectiveness in uncovering valuable insights and positive usability.

    Conclusions:

    • The hybrid Markov chain model and Tac-Simur system offer a powerful approach for simulative visual analytics in table tennis.
    • This methodology provides a framework for improving player performance through prospective insights derived from simulations.
    • The approach is adaptable to other sports like tennis and badminton, suggesting broader applicability.