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Multi-Objective Model Selection via Racing.

Tiantian Zhang, Michael Georgiopoulos, Georgios C Anagnostopoulos

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    Summary
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    This study introduces S-Race, a novel multi-objective racing algorithm for efficient model selection. S-Race identifies Pareto optimal models across multiple objectives while minimizing computational cost, outperforming brute-force methods.

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    Area of Science:

    • Machine Learning
    • Computational Intelligence
    • Optimization

    Background:

    • Model selection is crucial in machine learning, often involving multiple, competing objectives.
    • Hyper-parameter tuning in multi-task learning exemplifies a multi-objective challenge requiring simultaneous optimization.

    Purpose of the Study:

    • To introduce S-Race, a novel multi-objective racing algorithm (RA) for efficient model selection.
    • To reliably identify Pareto optimal models while minimizing computational cost.
    • To address multi-objective model selection (MOMS) problems effectively.

    Main Methods:

    • Utilizes a racing algorithm (RA) approach to eliminate non-promising models early.
    • Employs the nonparametric sign test for pair-wise dominance identification.
    • Adopts a discrete Holm's step-down procedure to control family-wise error rate, with adaptive significance level adjustment.

    Main Results:

    • S-Race efficiently identifies Pareto optimal models in multi-objective scenarios.
    • Demonstrates effectiveness and efficiency compared to brute-force approaches.
    • Successfully applied to diverse MOMS problems including SVM selection, ABC algorithm tuning, and hybrid recommendation systems.

    Conclusions:

    • S-Race is an efficient and effective algorithm for multi-objective model selection.
    • The nonparametric sign test and Holm's procedure provide robust dominance identification and error control.
    • The algorithm shows versatility across various machine learning and optimization tasks.