Add standalone numerical verification of all closed forms

2026-08-25 20:29:59 +09:00
parent d9f6f4ac53
commit 6099ce3063
3 changed files with 184 additions and 0 deletions
@@ -0,0 +1,41 @@
+{
+ "def2_beta": {
+  "theory": 0.39,
+  "empirical": 0.3870348174861091,
+  "abs_err": 0.0029651825138909405
+ },
+ "lemma1_rho2_gamma1": {
+  "theory": 0.07605,
+  "empirical": 0.07755907030722882,
+  "abs_err": 0.001509070307228813
+ },
+ "lemma1_rho2_gamma10": {
+  "theory": 0.1382727272727273,
+  "empirical": 0.13549989449940597,
+  "abs_err": 0.0027728327733213265
+ },
+ "ofdma_ceiling": {
+  "theory": 0.5,
+  "empirical_mean": 0.49424545065943004,
+  "empirical_std": 0.07545276320615535
+ },
+ "prop3_lmmse": {
+  "mse_closed_form": 0.4824921051778264,
+  "mse_empirical_wiener": 0.4821083056134569,
+  "rel_diff": 0.0007960857755419693
+ },
+ "prop3_blind_eq_ofdma": {
+  "max_abs_cos_diff": 4.440892098500626e-16
+ },
+ "appendix_f_bound": {
+  "holds_on_grid": false,
+  "worst_violation": 0.027053603772970947
+ },
+ "appendix_exp_ineq": {
+  "holds": true
+ },
+ "concentration_residual": {
+  "d64_residual": 0.125,
+  "claimed_max": 0.13
+ }
+}