Fold 2 - Understanding why coefficient 18 was selected
Tag: GREETING CARD
Selected Coefficient: 18
Taxonomy Path: 18
Taxonomy Name: Office Supplies
Products with this tag: 5
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? |
|---|---|---|---|---|---|
| 18 | 0.028169 | 18 | 18 (18) | Office Supplies | Yes |
| 4698514 | 0.042254 | 18.4.9.13 | 13.9.4.18 (13*71^3 + 9*71^2 + 4*71 + 18) | Office Supplies > General Office Supplies > Paper Products > Stationery | No |
These are the training products that have the "GREETING CARD" tag (processing sequence 1364). 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 |
|---|---|---|---|---|---|---|---|
| 9599 | FOREVA - Humorous Card | 4698514 | Office Supplies > General Office Supplies > Paper Products > Stationery | none | 4698496 | none | |
| 9605 | Balloon Babe Birthday Card | 4698514 | Office Supplies > General Office Supplies > Paper Products > Stationery | none | 4698496 | none | |
| 9604 | BUBBLY BEAUTY | 18 | Office Supplies | none | 0 | none | |
| 9606 | She's So Fabulous Card by Janet Karp | 18 | Office Supplies | none | 0 | none | |
| 9607 | Pink Telephone Card by Janet Karp | 18 | Office Supplies | none | 0 | none |