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- W3100204881 abstract "In clustering problems, a central decision-maker is given a complete graph over vertices and must provide a clustering of vertices that minimizes some objective function. In fair clustering problems, vertices are endowed with a color (e.g., membership in a group), and the features of a valid clustering might also include the representation of colors in that clustering. Prior work in fair clustering assumes complete knowledge of group membership. In this paper, we generalize prior work by assuming imperfect knowledge of group membership through probabilistic assignments. We present clustering algorithms in this more general setting with approximation ratio guarantees. We also address the problem of metric membership, where different groups have a notion of order and distance. Experiments are conducted using our proposed algorithms as well as baselines to validate our approach and also surface nuanced concerns when group membership is not known deterministically." @default.
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- W3100204881 date "2020-06-19" @default.
- W3100204881 modified "2023-09-25" @default.
- W3100204881 title "Probabilistic Fair Clustering" @default.
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