Can Machine Learning Robustly Predict Grade of Execution in Figure Skating Jumps from Kinematic Features Across Competitions—A Case Study of Ladies' Double Axel at the World Championships

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Abstract

In the current figure skating scoring system, a jump's score is determined by the sum of its base value, which represents difficulty, and the grade of execution (GOE), which reflects execution quality. The criteria for evaluating the GOE allow for subjective judgment by the judges. Consequently, skaters may train without concrete guidelines for maximizing their scores. If execution quality could be robustly predicted based on kinematic characteristics, it could contribute to improving the performance of skaters.This study examined whether the GOE assigned by judges to double Axel jumps performed by female skaters at the 2019 and 2023 World Championships could be robustly predicted based on kinematic features and explored the features that contribute to these predictions. The results demonstrated that three simple kinematic features—vertical height (VH), horizontal distance (HD), and landing distance—explained 42.9% of the variance in GOE, even in a dataset that included different competitions. The mean absolute error of the prediction was 0.528. Although the GOE evaluation criteria mentioned "very good height and length," the VH had little impact in practice. Instead, jumps with a greater HD and good flow on landing resulted in higher GOE. However, in this study, ratio-based derived features, previously shown to be relevant, were not significantly related to GOE, suggesting that their influence was competition-specific rather than consistent across different competitions. This study contributes to an objective understanding of performance evaluation in judged sports from a kinematic perspective, in which scoring is inherently subjective and based on complex criteria.

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