Fold 0 - Understanding why coefficient 678 was selected
Tag: KITCHEN MAINTENANCE & ORGANIZATION
Selected Coefficient: 678
Taxonomy Path: 14.8
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? |
|---|---|---|---|---|---|
| 678 | 0.024096 | 14.8 | 8.14 (8*83 + 14) | Yes | |
| 35372 | 0.024096 | 14.11.5 | 5.11.14 (5*83^2 + 11*83 + 14) | No | |
| 147632114 | 0.024096 | 14.10.16.9.3 | 3.9.16.10.14 (3*83^4 + 9*83^3 + 16*83^2 + 10*83 + 14) | Home & Garden > Household Supplies > Storage & Organization > Storage Hooks & Racks > Utility Hooks | No |
These are the training products that have the "KITCHEN MAINTENANCE & ORGANIZATION" tag (processing sequence 6218). 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 |
|---|---|---|---|---|---|---|---|
| 14973 | Mop and Broom Organizer Wall Mount | 147632114 | Home & Garden > Household Supplies > Storage & Organization > Storage Hooks & Racks > Utility Hooks | none | 147631436 | CLEANING ESSENTIALS | |
| 14990 | Silverware Organizer Tray | 35372 | none | 34694 | COOKING ACCESSORY | ||
| 15042 | Dishwasher Clean Dirty Magnet Sign | 678 | none | 0 | CLEANING ESSENTIALS |