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Senior Design Expo 2019

The Senior Design Expo, held annually in May at Columbia University, is an opportunity for Columbia Engineering students to showcase what they have learned in their foundational math and science courses together with their engineering courses in innovative, creative, and purposeful designs and prototypes. Each year the Expo showcases more than 60 projects across all nine departments. Projects have included cutting-edge robotics, the New York City subway system, language technology, proposals for bridges to span the Hudson river, and much more.

The Senior Design Expo, held annually in May at Columbia University, is an opportunity for Columbia Engineering students to showcase what they have learned in their foundational math and science courses together with their engineering courses in innovative, creative, and purposeful designs and prototypes. Each year the Expo showcases more than 60 projects across all nine departments. Projects have included cutting-edge robotics, the New York City subway system, language technology, proposals for bridges to span the Hudson river, and much more.

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Football Simulator <strong>2019</strong><br />

Thomas Mecattaf, Mohnish Chakravarti,<br />

Cameron Terry<br />

Advisor: Prof. Hardeep Johar<br />

The goal of this project is to create a<br />

recommendation system for coaches to use<br />

on their players on a daily basis, such as to<br />

provide detailed insights on what areas of his<br />

game each player should improve in training.<br />

These insights are extremely specific, as they<br />

take into account the opponent the team is<br />

facing, the teammates a specific player will<br />

play alongside with, and the match-day<br />

conditions the player will be exposed to.<br />

Fundamentally, we view a player’s training<br />

regime as an optimization problem for the<br />

coach: there are many areas of the game to<br />

improve in a player, but a limited time such<br />

that crucial choices must be made to<br />

prioritize regions of improvement. Hence, if<br />

we can create a model that points out the best<br />

points to focus on, we are indeed optimizing<br />

the training regime of a player.<br />

To do so, we scrape multiple datasets: first,<br />

the FIFA video game ratings for each player,<br />

which include detailed stats (between 0-100)<br />

that describe their physical and mental<br />

attributes, and in-game instincts. The second<br />

dataset is a list of in-game performance of<br />

each team (from whoscored.com). For the<br />

sake of this proof-of-concept, we focus only<br />

on the English Premier League.<br />

Then, after this preliminary study, we run a<br />

LASSO regression relating the make-up of a<br />

team (11 vs 11 players) to the resulting game<br />

performance. In our case, very detailed<br />

statistics are available for 4 seasons in total,<br />

so we have more than 1600 games at our<br />

disposal. We are training an algorithm in<br />

which we feed it each player’s statistics, and<br />

it outputs a predicted in-game performance.<br />

Finally, for each player, we would vary a<br />

feature by +1 compared to the original<br />

ratings, leaving all other features equal for all<br />

other players. We then run that for all the<br />

features of that player, and see the ones which<br />

have the biggest “positive delta” impact on<br />

the game. This would allow us to pinpoint<br />

what feature the coach has to focus on while<br />

training his players for this specific game.<br />

References:<br />

[1] Junyuan Gao, Predicting Premier League<br />

Final Points andRank Using Linear<br />

Modeling Techniques<br />

[2] Suraj Keshri, Min-hwan On, Garud<br />

Iyengar, Optimal Trajectory based Player's<br />

ability in NBA<br />

[3] Rory P. Bunker, Fadi Thabtah, A<br />

machine learning framework for sport result<br />

prediction<br />

We conduct an analysis on the entire season<br />

performance, to see what factors have the<br />

most impact on performance, what are the<br />

attributes that have the biggest influence on a<br />

game for individual players, and what the<br />

ratings that distinguish player types are.<br />

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