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Primary author manuscript, version3, revised4January2019. Verified full byline on page1: Ilya Loshchilov and Frank Hutter. Section2, propositions1–2, and AppendixA distinguish SGD coefficient rescaling from inequivalence under adaptive coordinate scaling; Algorithm2 introduces AdamW. The paper's direct shrinkage factor1-lambda and the wiki's explicitly stated PyTorch1-eta*lambda convention must not be silently conflated. Only mathematical mechanisms used; no comparative benchmark claims.

ICLR 2017, primary manuscript version 5 (3 May 2017). Full byline verified on page 1. Section 3, page 4, equation 5: cosine learning-rate schedule and retention of current parameters at restart. PDF arxiv.org/pdf/1608.03983v5 . Only optimization mechanism used, no biological application or universal benchmark guarantee.