Academic Journal of Computing & Information Science, 2024, 7(5); doi: 10.25236/AJCIS.2024.070518.
Zhuoyuan Li1, Yitian Yin2
1School of Computer Science and Engineering, Beihang University, Beijing, 100083, China
2School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University, Xi’an, 710072, China
In sports, the concept of "momentum" describes how athletes or teams, inspired by positive factors during a match, perform better, leading to a "success breeds success" phenomenon. This study analyzes players’ momentum in tennis, specifically using data from the 2023 Wimbledon Men's Singles Final. It focuses on quantifying momentum and determining its influence on player performance. The study developed the Player Performance Evaluation Model based on EWM-TOPSIS method, incorporating factors like winning status, movement distance, winning shots, and double faults. The model differentially weighs the winning incentives for servers and receivers and uses an exponential decay accumulation of evaluation indicators, akin to the Momentum algorithm in deep learning. The players' performance score at a certain score point, denoted as momentum score, were then derived using the EWM-TOPSIS evaluation algorithm. For the momentum score calculated by our model, we randomly selected a match to visualize the momentum score of both sides to show the consistency of momentum score and match conditions. Finally, this study examines the relationship between momentum score and the increase or decrease of winning probability to prove that momentum score has a significant correlation with the fluctuation of winning probability.
Momentum in Tennis, Evaluation Model, Exponential Decay, EWM-TOPSIS Method
Zhuoyuan Li, Yitian Yin. A Quantitative Assessment Model for Momentum in Tennis Based on Exponential Decay and EWM-TOPSIS Method. Academic Journal of Computing & Information Science (2024), Vol. 7, Issue 5: 136-142. https://doi.org/10.25236/AJCIS.2024.070518.
[1] Briki W, Markman D K .Psychological momentum: The phenomenology of goal pursuit [J].Social and Personality Psychology Compass, 2018, 12(9):n/a-n/a.
[2] A. C D, M. J G, A. D S .Set-level Strategic and Psychological Momentum in Best-of-three-set Professional Tennis Matches [J].Journal of Sports Economics, 2022, 23(5):598-623.
[3] Zhang, Yun B .A Quantitative Network Situation Assessment Method Based on Stochastic Model[J]. Applied Mechanics and Materials, 2014, 513-517:768-771. DOI:10.4028/www.scientific.net/AMM.513-517.768.
[4] Meier P, Flepp R, Ruedisser M, et al. Separating psychological momentum from strategic momentum: Evidence from men’s professional tennis [J].Journal of Economic Psychology, 2020, 78 (prepublish).
[5] Xie, Xingyu, et al. "Adan: Adaptive Nesterov Momentum Algorithm for Faster Optimizing Deep Models." arXiv preprint arXiv: 2208.06677 (2022).
[6] Liu W, Fu S, Yu L .Evaluation of light pollution risk level based on EWM-TOPSIS method[J]. Population, Resources Environmental Economics, 2023, 4(1).
[7] Ting H X, Min H L .Assessment of vulnerability to waterlogging in subway stations using integrated EWM-TOPSIS [J].Smart Construction and Sustainable Cities, 2023, 1(1).
[8] Xu X , Xie J , Wang H ,et al.Online education satisfaction assessment based on cloud model and fuzzy TOPSIS[J].Applied Intelligence, 2022, 52(12):13659-13674. DOI:10.1007/s10489-022-03289-7.
[9] Lin L, Wei S, Shuyu C, et al.A Dynamic Adaptive and Resource-Allocated Selection Method Based on TOPSIS and VIKOR in Federated Learning[J].Neural Processing Letters, 2024, 56(2)
[10] Muhammet Gül.A Quantitative Occupational Risk Assessment Methodology Based on TOPSIS-Sort with its Application in Aluminum Extrusion Industry[J].International Journal of Pure and Applied Sciences, 2021(1).DOI:10.29132/IJPAS.943612.