# Polynomial threshold sensitivity benchmark

Family 127: Average sensitivity of polynomial threshold functions. First review, 8 October 2026.

## Problem and potential new use

Robustness researchers can evaluate average output sensitivity under a uniform Boolean input model.

## Applicability and commercial boundary

Average single-bit sensitivity is not adversarial robustness, generalization or a guarantee for arbitrary data distributions.

## Initial business decision

Conditional research. Buyer demand and profitability remain hypotheses. This first pass does not establish a validated commercial market.

## Next verification action

Construct exhaustive small threshold-function fixtures and compare the bound with observed sensitivity.

## 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.