arXiv Machine Learning By Lai Tian, Johannes O. Royset

Lipschitzian SLLNs for random functions

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arXiv:2607. 20411v1 Announce Type: cross Abstract: We prove strong laws of large numbers for locally Lipschitz functions in the Lipschitz pseudometric.

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Lipschitzian SLLNs for random functions

We prove strong laws of large numbers for locally Lipschitz functions in the Lipschitz pseudometric. Our results hold under either a topological or a model-theoretic condition, with the latter encompassing functions jointly definable in o-minimal structures but extending substantially beyond this class.

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