20年美赛D题F奖论文.pdf

Problem Chosen 2020 Team Control Number MCM/ICM D 2007671 Summary Sheet Research of Teaming Strategies Based on Football Analysis Summary In this paper, we establish a regression model based on the passing network to evaluate the influence of team structure strategy and opponents’ counter-strategy on the match results. For task 1, we first list some Huskies match statistics for this season and analyze the team in brief. Secondly, we construct a passing network based on the number of passes and visualizes the passing network diagram of three games under three different coaches. We use these three diagrams to describe and compare the changes in Huskies’ strategies. After that, we identify network patterns of dyadic and triadic configurations and count 15 kinds of these two config- urations in the above three matches, reflecting the structural indicators of the passing network. We also explore time scale and micro scale by giving the change of the team’s centroid over time in the first match and the Huskies’ 4 positions heat map over the season. For task 2, we construct the regression model not only introducing the basic data repre- senting Huskies’ and opponents’ ability, but also extracting six independent variables from the indicators of the passing network into the model. Considering opponents’ counter-strategies, we also introduce the product interaction term between opponents’ data and network structure indicators. Through the training of regression model, we can judge whether the independent variables introduced have influence, what kind of influence and how much influence the inde- pendent variables introduced have on the result of the match. For