Fold 0 - Understanding why coefficient -110320 was selected
Tag: FLOWER ESSENCES
Selected Coefficient: -110320
Taxonomy Path: -13.1.16
Taxonomy Name:
Products with this tag: 4
Unique residual values tried: 3
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 | 1.012048 | -13.1.16 | -16.1.13 (-(16*83^2 + 83 + 13)) | Yes | |
| -82598 | 1.024096 | -13.82.11 | -11.82.13 (-(11*83^2 + 82*83 + 13)) | No | |
| 4179714747 | 3.000000 | 0.0.76.5.5.1 | 1.5.5.76.0.0 (3939040643 + 5*83^4 + 5*83^3 + 76*83^2) | No |
These are the training products that have the "FLOWER ESSENCES" tag (processing sequence 4744). 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 | 4179714747 | FLOWER ESSENCE SETS | 4179825067 | TREE II ESSENCES | ||
| 19830 | Set of Forest Floor Flower Essences | -82598 | FLOWER ESSENCE SETS, FOREST FLOOR ESSENCES | 27722 | none | ||
| 19828 | Set of At-Risk Flower Essences | -110320 | AT-RISK ESSENCES, FLOWER ESSENCE SETS | 0 | none | ||
| 19832 | Set of Shrub Flower Essences | -110320 | SHRUB ESSENCES, FLOWER ESSENCE SETS | 0 | none |