Add static alignment beta validation

1 files changed, 20 insertions, 0 deletions

diff --git a/notes/02_experiment_notes.md b/notes/02_experiment_notes.md
index c418fae..b7f17a5 100644
--- a/notes/02_experiment_notes.md
+++ b/notes/02_experiment_notes.md
@@ -215,3 +215,23 @@ First script target:
 - Produce beta overlay plots.
 
 Only after this is clean, add FA/BP training loops.
+
+## Baseline Run Log
+
+Script:
+
+```bash
+python scripts/static_alignment_beta.py --rows 16 --cols 16 --samples 20000 --seed 7 --plot
+```
+
+Result:
+
+- \(D=256\)
+- empirical mean: `0.0039265884`
+- theoretical mean: `0.00390625`
+- empirical variance: `3.0311252e-05`
+- theoretical variance: `3.0162723e-05`
+- KS statistic: `0.00526931`
+- KS p-value: `0.633285`
+
+This is a clean first-pass validation for the isotropic Gaussian case.