Open Research Index

yuningyang19/parameter_free_gradient_p

Yuning Yang

Palomar Registrypalomar/PALOMAR-2026-08-28-000001Aug 28, 2026math.OCscore 0

A Lean 4 formalization of three results about exact value-gradient oracle complexity in finite-dimensional l_p geometry: strict-local scale-identification impossibility at fixed LR/epsilon = 4, the known-parameter p > 2 upper/lower exponent p/(p+2) with its stated horizon and dimension qualifications, and a post-secant-initialization parameter-free runtime family with the three p regimes. The Comparator surface contains exactly these three declarations; the other certified results remain supporting proof infrastructure.

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