Open Research Index

Subpolynomial dimension reduction in Lp

OpenAI

OpenAI Mathopenai-math/Subpolynomial-dimension-reduction-in-LpSep 23, 2026math.MGAI-generatedscore 0

For every fixed $1\lt p\lt \infty$ and D > 1, every n -point subset of a real L p 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.

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