AI RESEARCH
Uniform Laws of Large Numbers in Product Spaces
arXiv CS.LG
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ArXi:2603.24493v1 Announce Type: new Uniform laws of large numbers form a cornerstone of Vapnik--Chervonenkis theory, where they are characterized by the finiteness of the VC dimension. In this work, we study uniform convergence phenomena in cartesian product spaces, under assumptions on the underlying distribution that are compatible with the product structure.