Oracle sampling cost audit

Family 139: Subpolynomial query complexity for log-concave sampling. First review, 8 October 2026.

Problem and potential new use

Research teams can distinguish expensive gradient queries from the unconstrained computation permitted between them.

Applicability and commercial boundary

The well-conditioned potential, supplied minimizer, exact oracles and unbounded arithmetic mean no practical latency theorem is established.

Initial business decision

Defer performance product. Buyer demand and profitability remain hypotheses. This first pass does not establish a validated commercial market.

Next verification action

Review whether any finite implementation survives a total-computation benchmark.

Evidence scope

Catalog statement reviewed; inspect linked opportunity dossier for any deeper source review. This record alone does not establish full manuscript or proof verification.

Source revision fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb. See source metadata for the exact manuscripts and available scope notes.