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Unlabeled Compression Schemes Exceeding the VC-dimension (1811.12471v2)
Published 29 Nov 2018 in math.CO, cs.DM, and cs.LG
Abstract: In this note we disprove a conjecture of Kuzmin and Warmuth claiming that every family whose VC-dimension is at most d admits an unlabeled compression scheme to a sample of size at most d. We also study the unlabeled compression schemes of the joins of some families and conjecture that these give a larger gap between the VC-dimension and the size of the smallest unlabeled compression scheme for them.