0.4243
Avg p-adic loss
3,409
Avg non-zero coefficients
10,000
Avg iterations
13,661
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 | 0.4321 | 3,428 | 10,000 | 2,746 |
| Fold 1 | 0.4159 | 3,425 | 10,000 | 2,681 |
| Fold 2 | 0.4241 | 3,382 | 10,000 | 2,729 |
| Fold 3 | 0.4309 | 3,377 | 10,000 | 2,763 |
| Fold 4 | 0.4184 | 3,431 | 10,000 | 2,742 |