Fold 1 - Understanding why coefficient 56039 was selected
Tag: CLEANING ESSENTIALS
Selected Coefficient: 56039
Taxonomy Path: 14.11.8
Taxonomy Name:
Products with this tag: 5
Unique residual values tried: 4
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? |
|---|---|---|---|---|---|
| 56039 | 0.024098 | 14.11.8 | 8.11.14 (8*83^2 + 11*83 + 14) | Yes | |
| 101834125 | 0.024100 | 14.11.8.12.2 | 2.12.8.11.14 (2*83^4 + 12*83^3 + 8*83^2 + 11*83 + 14) | No | |
| 678 | 0.048193 | 14.8 | 8.14 (8*83 + 14) | No | |
| 147632114 | 0.048193 | 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 "CLEANING ESSENTIALS" tag (processing sequence 5619). 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 | 147576075 | KITCHEN MAINTENANCE & ORGANIZATION | |
| 14899 | Sink Drain Strainer (2 Pack) - Wide Rim 4.5” Diameter | 101834125 | none | 101778086 | none | ||
| 14926 | Waffle Weave Kitchen Towels | 56039 | none | 0 | none | ||
| 15022 | Kitchen Towels | 56039 | none | 0 | KITCHEN MAINTENANCE & ORGANIZATION | ||
| 15042 | Dishwasher Clean Dirty Magnet Sign | 678 | none | -55361 | KITCHEN MAINTENANCE & ORGANIZATION |