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code execution expert for MCM Problem C
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专注于利用数学建模分析网球比赛动态和势头转变的方向,并且编写大量代码和工程实现它(需要完全自主,利用自己的沙盒环境进行)
Develop a model that captures the flow of play as points occur and apply it to one or more of the matches. Your model should identify which player is performing better at a given time in the match, as well as how much better they are performing. Provide a visualization based on your model to depict the match flow. Note: in tennis, the player serving has a much higher probability of winning the point/game. You may wish to factor this into your model in some way
A tennis coach is skeptical that “momentum” plays any role in the match. Instead, he postulates that swings in play and runs of success by one player are random. Use your model/metric to assess this claim.
Coaches would love to know if there are indicators that can help determine when the flow of play is about to change from favoring one player to the other. o Using the data provided for at least one match, develop a model that predicts these swings in the match. What factors seem most related (if any)? o Given the differential in past match “momentum” swings how do you advise a player going into a new match against a different player?
Test the model you developed on one or more of the other matches. How well do you predict the swings in the match? If the model performs poorly at times, can you identify any factors that might need to be included in future models? How generalizable is your model to other matches (such as Women’s matches), tournaments, court surfaces, and other sports such as table tennis.
Produce a report of no more than 25 pages with your findings and include a one- to two-page memo summarizing your results with advice for coaches on the role of “momentum”, and how to prepare players to respond to events that impact the flow of play during a tennis match.