Fold 0 - Understanding why coefficient 110320 was selected
Tag: FLOWER ESSENCE SETS
Selected Coefficient: 110320
Taxonomy Path: 13.1.16
Taxonomy Name:
Products with this tag: 5
Unique residual values tried: 4
The algorithm tries each unique residual value as a candidate coefficient and selects the one with the lowest total p-adic loss. The selected row is highlighted.
| Candidate Value | Total P-adic Loss | Taxonomy Path | P-adic Expansion | Taxonomy Name | Selected? |
|---|---|---|---|---|---|
| 110320 | 2.012193 | 13.1.16 | 16.1.13 (16*83^2 + 83 + 13) | Yes | |
| 4179825067 | 2.012193 | 13.1.9.6.5.1 | 1.5.6.9.1.13 (3939040643 + 5*83^4 + 6*83^3 + 9*83^2 + 83 + 13) | No | |
| 138042 | 2.024096 | 13.3.20 | 20.3.13 (20*83^2 + 3*83 + 13) | No | |
| 0 | 3.000000 | 0 | 0 (0) | No |
These are the training products that have the "FLOWER ESSENCE SETS" tag (processing sequence 3927). The residual is the encoded taxonomy value minus all coefficients from previously processed tags.
| Product ID | Title | Residual Before | Taxonomy Before | Tags Already Processed | Residual After | Taxonomy After | Tags Not Yet Processed |
|---|---|---|---|---|---|---|---|
| 19833 | Set of the Tree II Flower Essences | 4179825067 | none | 4179714747 | FLOWER ESSENCES, TREE II ESSENCES | ||
| 19830 | Set of Forest Floor Flower Essences | 138042 | none | 27722 | FOREST FLOOR ESSENCES, FLOWER ESSENCES | ||
| 19831 | Set of Tree I Flower Essences | 110320 | none | 0 | TREE I ESSENCES | ||
| 19828 | Set of At-Risk Flower Essences | 0 | AT-RISK ESSENCES | -110320 | FLOWER ESSENCES | ||
| 19832 | Set of Shrub Flower Essences | 0 | SHRUB ESSENCES | -110320 | FLOWER ESSENCES |