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Cited by 412

The DOI matches its Crossref record; 14 of the 14 references it cites were found in a registry or an index.

Proceedings of the Twenty-Ninth International Joint Conference on Artificial Intelligence

Open access
·2020

Abstract

Bipartite b-matching, where agents on one side of a market are matched to one or more agents or items on the other, is a classical model that is used in myriad application areas such as healthcare, advertising, education, and general resource allocation.Traditionally, the primary goal of such models is to maximize a linear function of the constituent matches (e.g., linear social welfare maximization) subject to some constraints.Recent work has studied a new goal of balancing whole-match diversity and economic efficiency, where the objective is instead a monotone submodular function over the matching.Basic versions of this problem are solvable in polynomial time.In this work, we prove that the problem of simultaneously maximizing diversity along several features (e.g., country of citizenship, gender, skills) is NP-hard.To address this problem, we develop the first combinatorial algorithm that constructs provably-optimal diverse b-matchings in pseudo-polynomial time.We also provide a Mixed-Integer Quadratic formulation for the same problem and show that our method guarantees optimal solutions and takes less computation time for a reviewer assignment application.The source code is made available at https://github.com/ faezahmed/diverse matching.

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Metadata

Published
2020-07
OpenAlex
W4206908526
Cited by
412
References
14
Type
paratext
Language
en
Open access
gold

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Proceedings of the Twenty-Ninth International Joint Conference on Artificial Intelligence. (2020). https://doi.org/10.24963/ijcai.2020

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