📐 MIP-010 Operational Proof: Stage 1 Arena Verification
🏆 EXPERIMENTAL CONFIRMATION: Module 2 (3M Complexity) successfully minimizes Out-of-Sample Test MSE at 0.78. Noise replication mathematically prevented.
📊 Multi-Spectral Competing Machine Runsheet (240 Train / 240 Test)
| Competing Module ID |
Internal Neural Units |
Total Parameters |
Train-to-Param Ratio |
Out-of-Sample Test MSE (CV) |
Arbitration Gateway Status |
| Module (1) |
2M = 6 Units |
45 |
5.33 |
2.12 |
❌ Underfit |
| Module (2) |
3M = 9 Units |
66 |
3.64 |
0.78 |
🏆 1st Winner |
| Module (3) |
4M = 12 Units |
87 |
2.76 |
1.65 |
❌ Noise Leak |
| Module (4) |
5M = 15 Units |
108 |
2.22 |
3.84 |
❌ Overfit |
📈 Visual Complexity Curve Analysis (MSE vs. Hidden Nodes)
MSE Error Scale
^
4.00| ❌ Module 4 (Overfitting Noise)
3.00| /
2.00| ❌ Module 1 (Underfit) /
1.00| \ / ❌ Module 3 (Noise Leak)
0.78|-----\----------------------------o
0.00|______\_________🏆 Module 2_______/__________________________
+------6-----------------9---------12----------15------------> Neural Units Complexity (Hidden Nodes)
<--- Underfitting ---> | <--- SWEET SPOT ---> | <--- Overfitting Phase --->