lookahead-bias-paper/paper/sections/05_noise_harness_methodology.tex
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\section{The Noise Harness Methodology}
\label{sec:noise-harness}
% TODO content notes:
% - Describe the GBM null-data generator: dS = mu*S*dt + sigma*S*dW, fixed
% seed, parameters (mu, sigma, N steps, start price) documented in
% experiments/README.md and reproduced in 01_generate_gbm.py.
% - Key property to state explicitly: this series has zero exploitable
% structure by construction — no autocorrelation edge, no regime, nothing
% a real strategy could legitimately learn.
% - Define the test: run the same kernel/backtester pipeline against N
% independent GBM seeds. A backtester free of lookahead bias should
% produce a Sharpe distribution centered at ~0 across seeds. A backtester
% with a leak will produce a systematically positive Sharpe regardless of
% seed, because the "edge" comes from the mechanics, not the data.
% - State this as a pass/fail CI gate: mean Sharpe over >= 30 seeds must
% fall within a pre-registered null band (e.g. -0.3 to 0.3); anything
% outside that band fails the build. This is what
% .github/workflows/noise-harness.yml is wired to enforce once
% experiments/05_noise_harness.py exists.