Fold 4 - Understanding why coefficient 689067 was selected
Tag: HEADGEAR
Selected Coefficient: 689067
Taxonomy Path: 1.2.17.1
Taxonomy Name:
Products with this tag: 3
Unique residual values tried: 2
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? |
|---|---|---|---|---|---|
| 689067 | 1.000000 | 1.2.17.1 | 1.17.2.1 (571787 + 17*83^2 + 2*83 + 1) | Yes | |
| 110663 | 2.000000 | 24.5.16 | 16.5.24 (16*83^2 + 5*83 + 24) | No |
These are the training products that have the "HEADGEAR" tag (processing sequence 3576). 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 |
|---|---|---|---|---|---|---|---|
| 25505 | Omega Wing Structured Twill Cap | 689067 | none | 0 | none | ||
| 32059 | Authentic Apparel Clothing Co. Signature "A" Vintage Cotton Twill Cap | 689067 | none | 0 | none | ||
| 25559 | Minifig Asian Conical Hat - Grey | 110663 | none | -578404 | none |