0.4225
Avg p-adic loss
4,470
Avg non-zero coefficients
10,000
Avg iterations
23,097
Total test samples
Method Description
This model implements Zubarev's p-adic polynomial regression method from arXiv:2503.23488. Key features:
- Initialization: Starts from all zeros
- Optimization: Simulated annealing with temperature-controlled random walk
- Perturbations: P-adic-aware (prefers powers of 83)
- Optional: Mahler polynomial basis for non-linear transforms
Cross-validation Results
| Fold | Mean p-adic loss | Non-zero coeffs | Iterations | Test samples |
|---|---|---|---|---|
| Fold 0 | 0.4069 | 4,443 | 10,000 | 4,557 |
| Fold 1 | 0.4233 | 4,441 | 10,000 | 4,632 |
| Fold 2 | 0.4307 | 4,466 | 10,000 | 4,624 |
| Fold 3 | 0.4281 | 4,487 | 10,000 | 4,647 |
| Fold 4 | 0.4233 | 4,512 | 10,000 | 4,637 |