【MCM/ICM特等奖原文】2014MCM/ICM B题 特等奖原文一篇【转载】
Networks and Machine Learning Approach to Determine the Best College Coaches of the 20th-21st Centuries[转自校苑数模网]Tian-Shun Allan Jiang, Zachary T Polizzi, Christopher Qian Yuan
Mentor: Dr. Dan Teague
The North Carolina School of Science and Mathematics
February 10, 2014
Contents
1 Problem Statement 3
2 Planned Approach 3
3 Assumptions 3
4 Data Sources and Collection 4
4.1 College Football . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
4.2 Men's College Basketball . . . . . . . . . . . . . . . . . . . . . . . 5
4.3 College Baseball . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
5 Network-based Model for Team Ranking 6
5.1 Building the Network . . . . . . . . . . . . . . . . . . . . . . . . 6
5.2 Analyzing the Network . . . . . . . . . . . . . . . . . . . . . . . . 6
5.2.1 Degree Centrality . . . . . . . . . . . . . . . . . . . . . . . 6
5.2.2 Betweenness and Closeness Centrality . . . . . . . . . . . 7
5.2.3 Eigenvector Centrality . . . . . . . . . . . . . . . . . . . . 8
6 Separating the Coach Eect 10
6.1 When is Coach Skill Important? . . . . . . . . . . . . . . . . . . 11
6.2 Margin of Win Probability . . . . . . . . . . . . . . . . . . . . . . 12
6.3 Optimizing the Probability Function . . . . . . . . . . . . . . . . 13
6.3.1 Genetic Algorithm . . . . . . . . . . . . . . . . . . . . . . 13
6.3.2 Nelder-Mead Method . . . . . . . . . . . . . . . . . . . . 14
6.3.3 Powell's Method . . . . . . . . . . . . . . . . . . . . . . . 14
7 Ranking Coaches 15
7.1 Top Coaches of the Last 100 Years . . . . . . . . . . . . . . . . . 15
8 Testing our Model 15
8.1 Sensitivity Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . 15
8.2 Strengths . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16
8.3 Weaknesses . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16
9 Conclusions 17
10 Acknowledgments 17
顶一下。。。。。。。。。。。。。。。 文章整体不错。细节还有细微问题。整体思路很好! feichangganxie 太好了太好了 支持一下 down下来学习写咯!! 怎么全是英文?好难的样子 给力帮 发表于 2014-4-15 22:05 static/image/common/back.gif
怎么全是英文?好难的样子
美赛的论文都是英文的,后期会出现中文的 感觉好难啊,完全看不懂
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