Fold 0 - Understanding why coefficient 4179825067 was selected
Tag: TREE II ESSENCES
Selected Coefficient: 4179825067
Taxonomy Path: 13.1.9.6.5.1
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? |
|---|---|---|---|---|---|
| 4179825067 | 0.000292 | 13.1.9.6.5.1 | 1.5.6.9.1.13 (3939040643 + 5*83^4 + 6*83^3 + 9*83^2 + 83 + 13) | Yes | |
| 62097 | 0.000294 | 13.1.9 | 9.1.13 (9*83^2 + 83 + 13) | No | |
| 96 | 0.000581 | 13.1 | 1.13 (83 + 13) | No | |
| 110320 | 0.000581 | 13.1.16 | 16.1.13 (16*83^2 + 83 + 13) | No |
These are the training products that have the "TREE II ESSENCES" tag (processing sequence 5720). 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 | FLOWER ESSENCE SETS, FLOWER ESSENCES | 0 | none | ||
| 19907 | Red Maple Flower Essence | 4179825067 | none | 0 | none | ||
| 19961 | Sugar Maple Flower Essence | 110320 | none | -4179714747 | none | ||
| 19873 | Larch Flower Essence | 62097 | none | -4179762970 | none | ||
| 19980 | White Cedar Flower Essence | 96 | none | -4179824971 | none |