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# Open problem: Improper learning of mixtures of Gaussians

*Proceedings of the 31st Conference On Learning Theory*, PMLR 75:3399-3402, 2018.

#### Abstract

We ask whether there exists an efficient unsupervised learning algorithm for mixture of Gaussians in the over-complete case (number of mixtures is larger than the dimension). The notion of learning is taken to be worst-case compression-based, to allow for improper learning.