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    Machine learning foundations· 1971

    On the Uniform Convergence of Relative Frequencies of Events to Their Probabilities

    Vladimir Vapnik (first author) · 1971

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    DOI 10.1137/1116025OpenAlex W4238284510

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    Why it matters

    Established uniform convergence foundations underlying statistical learning theory and generalization bounds.

    Condensed from the expert lists' notes.

    The record

    First released
    1971 (from OpenAlex)
    Citations
    2,447 citations, as counted by OpenAlex (CC0)
    Named by
    both expert lists
    Score
    0.426 · computed rank 325 · consensus 0.99, must-read 1, citations percentile 0.083 (1970s · foundations), awards 0, existing lists 0. Method

    Editor's notes

    • Readability check: fail: Dense probability theory; learners get VC theory better from a textbook. (AI draft (Claude), not yet reviewed, 2026-10-29)

    Data sources

    Catalogue data from OpenAlex (CC0), Crossref (CC0 metadata; no abstracts are shown), arXiv, and Papers With Code (CC BY-SA 4.0). Each count names its source. See the method.