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Fair Hierarchical Clustering

18 June 2020
Sara Ahmadian
Alessandro Epasto
Marina Knittel
Ravi Kumar
Mohammad Mahdian
Benjamin Moseley
Philip Pham
Sergei Vassilvtiskii
Yuyan Wang
    FaML
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Abstract

As machine learning has become more prevalent, researchers have begun to recognize the necessity of ensuring machine learning systems are fair. Recently, there has been an interest in defining a notion of fairness that mitigates over-representation in traditional clustering. In this paper we extend this notion to hierarchical clustering, where the goal is to recursively partition the data to optimize a specific objective. For various natural objectives, we obtain simple, efficient algorithms to find a provably good fair hierarchical clustering. Empirically, we show that our algorithms can find a fair hierarchical clustering, with only a negligible loss in the objective.

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