paper

The computational complexity of some explainable clustering problems

arXiv:2208.09643

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 -means, -medians, -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.

14 pages and 1 figure

The computational complexity of some explainable clustering problems · wovepaper