Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 094-01. Subpolynomial dimension reduction in Lp
Manuscript map · lines 4295–4304
OpenAI@2026-10-07#rem:oai-p-094-01
Authors: OpenAI. Family 094.
Title: Subpolynomial dimension reduction in Lp.
Abstract: For every fixed $1{}lt p{}lt {}infty$ and D > 1, every n-point subset of a real Lp space embeds into ${}ell_p{}d$ with distortion at most D and subpolynomial dimension $d=n{}{o(1)}$. The target has the same exponent p, and the embedding need not be linear.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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