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Anchors the rho +0.08 finding with positive and negative controls:
positive control (BP grad as a_l): +0.9965 (perfect, expected ~1)
negative control (random vector): +0.0056 (noise floor, expected ~0)
vanilla DFA s42 (||g|| at floor): +0.0020 (within noise floor)
penalized DFA s42 (||g|| healthy): +0.0937 (~48x above noise, ~9% of perfect)
The metric is well-calibrated. BP gradient as a_l gives rho ~1 (Taylor),
random vector gives rho ~0 (noise floor), random feedback in degenerate
regime is indistinguishable from noise floor, random feedback in
penalized regime is small-but-well-above-noise (~48x noise, ~9% perfect).
Defensible paper claim: 'rho +0.08 is small in absolute terms but
clearly above the calibrated noise floor and on the order of 10% of
the perfect-signal ceiling — consistent with the 60% of BP accuracy
the penalized network achieves.'
Closes round 19's 'is rho +0.08 a meaningful number on this metric?'
question with explicit calibration.
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