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October 31, 2018 12:00 pm - 1:00 pm EDT
Title: Stable Matching in Practice
Speaker: Claire Mathieu, CNRS, Paris, France
Location: Northeastern University, 440 Huntington Avenue, West Village H, Room #366, Boston, Massachusetts 02115
Stable matching methods, based on the algorithm designed by Gale and Shapley, are used around the world in many applications such as college admissions. Several criteria measure the quality of the result: number of students assigned; rank of the college assigned to the applicant in their preference list; robustness; running time; etc.
After reviewing properties of the algorithm in the pure, ideal setting, we present issues arising in practice. The input data is uncertain and evolves with time, so a one-shot algorithm does not suffice. It is not feasible for admission committees to meet continuously, so the process cannot be fully dynamic. To reconcile those competing constraints, a hybrid implementation proceeding partly online on the student side was recently proposed for college admissions in France. The system also incorporates side constraints on joint assignment to schools and to dorms.
About the Speaker
Claire Mathieu does research on the design and analysis of algorithms, with a focus on approximation algorithms, particularly approximation schemes for NP-hard problems. A former student of Ecole normale supérieure, she received a PhD in Computer Science in 1988 at Paris-Sud University. She has held research and faculty positions at CNRS, Paris-Sud University, Ecole Polytechnique, Brown University, and Collège de France. She is currently a CNRS research director in Paris, France.