0.4102
Avg p-adic loss
2,978
Avg non-zero coefficients
10,000
Avg iterations
7,690
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 | 0.4180 | 2,984 | 10,000 | 1,530 |
| Fold 1 | 0.4181 | 2,971 | 10,000 | 1,585 |
| Fold 2 | 0.4047 | 2,970 | 10,000 | 1,531 |
| Fold 3 | 0.4109 | 2,974 | 10,000 | 1,539 |
| Fold 4 | 0.3996 | 2,989 | 10,000 | 1,505 |