A RANDOM FOREST-BASED MODEL OF SCORE FLUCTUATIONS IN PROFESSIONAL TENNIS MATCHES

Yanqi Zhang, Jie Zhang, Mingxu Zhou, Liu Tao, Dr. Hatem Hassanin
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Abstract

In tennis matches, the victory and turning points of the game are often influenced by various factors. To explore the factors that affect match fluctuations (changes in the flow of scoring) and to provide suggestions for athletes match strategies, this paper first identifies general indicators through a literature review and uses logistic regression to determine the effectiveness of the chosen model. Secondly, it employs the Fourier function fitting to identify turning points in the match. Considering the scarcity of turning points in the game, this paper uses the SMOTE method to expand the dataset. Subsequently, it tests with a random forest classification model, achieving an accuracy of 93.433%. To improve the models accuracy, several indicators were added to the original model, resulting in a correct rate of 98.51%. Finally, to verify the models results and applicability, the model was applied to other matches with good results. A sensitivity analysis was conducted, revealing good model stability. The model results indicate that the main factors affecting the appearance of turning points include the players movement distance during the match, whether there are changes in the depth and width of the return, score differences, and the maximum number of consecutive wins. When tested in other types of matches, we found that the importance of these factors may change to some extent, but the results remain satisfactory. KEYWORDS: Volatility prediction, Random Forest, Logistic regression, Sensitivity analysis.
基于随机森林的职业网球比赛得分波动模型
在网球比赛中,比赛的胜负和转折点往往受到各种因素的影响。为了探索影响比赛波动(得分流程的变化)的因素,并为运动员的比赛策略提供建议,本文首先通过文献综述确定了一般指标,并使用逻辑回归确定所选模型的有效性。其次,本文采用傅立叶函数拟合来确定比赛中的转折点。考虑到比赛中转折点的稀缺性,本文使用 SMOTE 方法来扩展数据集。随后,本文使用随机森林分类模型进行测试,准确率达到 93.433%。为了提高模型的准确性,在原有模型的基础上增加了几个指标,结果正确率达到 98.51%。最后,为了验证模型的结果和适用性,该模型被应用于其他匹配,并取得了良好的效果。进行的敏感性分析表明,模型具有良好的稳定性。模型结果表明,影响转折点出现的主要因素包括球员在比赛中的移动距离、回球深度和宽度是否有变化、比分差距以及最大连胜场次。在其他类型的比赛中进行测试时,我们发现这些因素的重要性可能会发生一定程度的变化,但结果仍然令人满意。关键词:波动预测 随机森林 逻辑回归 敏感性分析
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