# 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](source.json) for the exact manuscripts and available scope notes.