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authorYurenHao0426 <Blackhao0426@gmail.com>2026-04-08 02:22:08 -0500
committerYurenHao0426 <Blackhao0426@gmail.com>2026-04-08 02:22:08 -0500
commite575fbcfa80994c6dd1ed38fddeb41f7cd16ca12 (patch)
treed0873783d6990083ae618d3853e776a528d6851b /models/residual_mlp.py
parent1e342e28582e46d2fff969c77b3c2b78e4007491 (diff)
Add perturbation correlation metric calibration
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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