Fold 1 - Understanding why coefficient 70389 was selected
Tag: SUN
Selected Coefficient: 70389
Taxonomy Path: 5.18.10
Taxonomy Name:
Products with this tag: 3
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? |
|---|---|---|---|---|---|
| 70389 | 2.000000 | 5.18.10 | 10.18.5 (10*83^2 + 18*83 + 5) | Yes | |
| 585827 | 2.000000 | 13.3.2.1 | 1.2.3.13 (571787 + 2*83^2 + 3*83 + 13) | No | |
| 2508216 | 2.000000 | 39.7.32.4 | 4.32.7.39 (4*83^3 + 32*83^2 + 7*83 + 39) | No |
These are the training products that have the "SUN" tag (processing sequence 6305). 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 |
|---|---|---|---|---|---|---|---|
| 3069 | Absolute Essential Aloe Vera Gel (Organic) | 2508216 | SKIN CARE INGREDIENTS, SKIN INFECTION | 2437827 | none | ||
| 3091 | Eco Tan Invisible Tan Self Tan & Bronzer - Organic! | 585827 | none | 515438 | none | ||
| 22320 | Sun, Moon and Stars Celestial Band Ring in Sterling Silver #6149 | 70389 | MOON | 0 | none |