Fold 3 - Understanding why coefficient 10025 was selected
Tag: BOOK
Selected Coefficient: 10025
Taxonomy Path: 14.70.1
Taxonomy Name:
Products with this tag: 2
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? |
|---|---|---|---|---|---|
| 10025 | 1.000000 | 14.70.1 | 1.70.14 (5041 + 70*71 + 14) | Yes | |
| 15211 | 1.000000 | 17.1.3 | 3.1.17 (3*71^2 + 71 + 17) | Media > Books > Print Books | No |
These are the training products that have the "BOOK" tag (processing sequence 515). 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 |
|---|---|---|---|---|---|---|---|
| 1905 | Book Castle Green | 15211 | Media > Books > Print Books | none | 5186 | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts | none |
| 4145 | ChipScapes - A History of Computer Chips Told Through Art | 10025 | SILICON WAFER | 0 | none |