0.4253
Avg p-adic loss
2,727
Avg non-zero coefficients
10,000
Avg iterations
9,110
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 79)
- Optional: Mahler polynomial basis for non-linear transforms
Cross-validation Results
| Fold | Mean p-adic loss | Non-zero coeffs | Iterations | Test samples |
|---|---|---|---|---|
| Fold 0 | 0.4364 | 2,727 | 10,000 | 1,795 |
| Fold 1 | 0.4330 | 2,745 | 10,000 | 1,808 |
| Fold 2 | 0.4114 | 2,684 | 10,000 | 1,827 |
| Fold 3 | 0.4207 | 2,764 | 10,000 | 1,843 |
| Fold 4 | 0.4247 | 2,715 | 10,000 | 1,837 |