Add capacity scaling calculations

1 files changed, 24 insertions, 0 deletions

diff --git a/notes/02_experiment_notes.md b/notes/02_experiment_notes.md
index b7f17a5..ab69cd8 100644
--- a/notes/02_experiment_notes.md
+++ b/notes/02_experiment_notes.md
@@ -235,3 +235,27 @@ Result:
 - KS p-value: `0.633285`
 
 This is a clean first-pass validation for the isotropic Gaussian case.
+
+## Scaling Run Log
+
+Script:
+
+```bash
+python scripts/capacity_scaling.py --plot
+```
+
+Default sweep:
+
+- widths: `16, 32, 64, 128`
+- feedback-aligned layer counts: `1, 2, 4, 8, 16`
+- fixed threshold: \(q=0.01\)
+- chance-level threshold: \(q=1/D\)
+- log unit: nats
+
+Result:
+
+- rows written: `40`
+- fixed-threshold max total cost: `1361.74` nats at width `128`, layers `16`
+- chance-level max total cost: `18.3652` nats at width `128`, layers `16`
+
+This cleanly separates the fixed-threshold regime, where total cost scales like \(Ln^2\), from the chance-level regime, where per-layer cost is nearly width-independent.