The computational complexity of some explainable clustering problems

Eduardo Sany Laber

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arXiv · 2208.09643

The computational complexity of some explainable clustering problems

Eduardo Sany Laber

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Abstract

We study the computational complexity of some explainable clustering problems in the framework proposed by [Dasgupta et al., ICML 2020], where explainability is achieved via axis-aligned decision trees. We consider the $k$-means, $k$-medians, $k$-centers and the spacing cost functions. We prove that the first three are hard to optimize while the latter can be optimized in polynomial time.

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Eduardo Sany Laber. 2022-08-20. The computational complexity of some explainable clustering problems. https://arxiv.org/abs/2208.09643

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