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Creators/Authors contains: "K_A, Santhini"

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  1. ; ; ; (, Schloss Dagstuhl – Leibniz-Zentrum für Informatik)
    Bun, Mark (Ed.)
    We consider the problem of assigning students to schools when students have different utilities for schools and schools have limited capacities. The students belong to demographic groups, and fairness over these groups is captured either by concave objectives, or additional constraints on the utility of the groups. We present approximation algorithms for this assignment problem with group fairness via convex program rounding. These algorithms achieve various trade-offs between capacity violation and running time. We also show that our techniques easily extend to the setting where there are arbitrary constraints on the feasible assignment, capturing multi-criteria optimization. We present simulation results that demonstrate that the rounding methods are practical even on large problem instances, with the empirical capacity violation being much better than the theoretical bounds. 
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    Free, publicly-accessible full text available January 1, 2026