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| author | YurenHao0426 <Blackhao0426@gmail.com> | 2026-04-08 02:22:08 -0500 |
|---|---|---|
| committer | YurenHao0426 <Blackhao0426@gmail.com> | 2026-04-08 02:22:08 -0500 |
| commit | e575fbcfa80994c6dd1ed38fddeb41f7cd16ca12 (patch) | |
| tree | d0873783d6990083ae618d3853e776a528d6851b /results/confirmatory/clean_sparsity/synth_bp_s456_a0.0_L4.json | |
| parent | 1e342e28582e46d2fff969c77b3c2b78e4007491 (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.
Diffstat (limited to 'results/confirmatory/clean_sparsity/synth_bp_s456_a0.0_L4.json')
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