Core Concepts
This paper presents a comprehensive analysis of tennis match momentum using Hidden Markov Models and Exponential Moving Average to quantify and visualize momentum shifts. The authors then leverage Xgboost and LightGBM models to prove the significance of momentum as a key factor in predicting match outcomes, and identify the most relevant indicators for determining momentum changes.
Abstract
The paper starts by introducing the problem of analyzing tennis match momentum and its potential impact on predicting game outcomes. The authors first use Hidden Markov Models (HMMs) to model the unobservable momentum state of players during a match, and then apply Exponential Moving Average (EMA) to quantify the momentum values.
The analysis of the 2023 Wimbledon Gentlemen's final match shows that momentum does play a significant role, with clear shifts in momentum corresponding to changes in the score. The authors then use Xgboost regression to compare a model that considers momentum as a feature versus one that treats it as a random variable. The results demonstrate that the momentum-aware model significantly outperforms the random model, proving the importance of momentum in predicting match outcomes.
To further explore the key factors influencing momentum, the authors employ the LightGBM model and the SHAP method for feature importance analysis. This identifies top indicators such as net points won, sets won, and break points, which can be used to determine when momentum is likely to shift.
Finally, the authors test the generalization of their models on additional US Open matches, showing robust performance. They also discuss potential future improvements by incorporating additional factors like player rankings and recent match history.
Stats
"The higher ranked ones also have ace, which shows that players need to train more on hitting skills, develop new techniques, and improve their ace abilities during their regular training."
"The higher ranked ones also have ace, which shows that players need to train more on hitting skills, develop new techniques, and improve their ace abilities during their regular training."
"The feature with the highest importance in momentum swings is the points won at the net. That means the player has a high probability of scoring when he touches the net."
"The current number of points won is ranked higher in importance. That shows the player is easily affected by the score. When he scores more points, the probability of winning will be higher."
Quotes
"Whenever you are behind or leading position, it is recommended that you should maintain a more stable state and pay attention to controlling the pace of the game to avoid being affected by yout opponents, you can also do something that will instill greater confidence in you since your points have won is a important feature in Changing the momentum."
"When the opponent scores consecutively, the momentum swings greatly, or several parties make mistakes consecutively, the coach can call a timeout in time to discuss the tactics with the players."
"The ability to serve also seems to significantly impact your momentum. Therefore, it is crucial to enhance your practice in serving regularly. Introducing artificial intelligence for higher-intensity training sessions can be advantageous."