Fold 4 - Understanding why coefficient 262045 was selected
Tag: HOME ESSENTIALS
Selected Coefficient: 262045
Taxonomy Path: 14.3.38
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? |
|---|---|---|---|---|---|
| 262045 | 1.024096 | 14.3.38 | 38.3.14 (38*83^2 + 3*83 + 14) | Yes | |
| 13875 | 1.036145 | 14.1.2 | 2.1.14 (2*83^2 + 83 + 14) | No | |
| 5153733 | 1.036145 | 14.9.1.9 | 9.1.9.14 (9*83^3 + 6889 + 9*83 + 14) | Home & Garden > Household Appliances > Climate Control Appliances > Humidifiers | No |
| 336 | 4.000000 | 4.4 | 4.4 (4*83 + 4) | Baby & Toddler > Baby Safety | No |
These are the training products that have the "HOME ESSENTIALS" tag (processing sequence 5638). 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 |
|---|---|---|---|---|---|---|---|
| 15038 | Cool Mist Humidifiers with 2.2L Water Tank & Adjustable Nozzle | 5153733 | Home & Garden > Household Appliances > Climate Control Appliances > Humidifiers | none | 4891688 | none | |
| 15014 | 3D Butterfly Wall Decor - 24 Pieces | 262045 | none | 0 | WALL DECOR | ||
| 15015 | 3D Butterfly Wall Decor - 48 Pieces | 262045 | none | 0 | none | ||
| 14976 | Soft Shaggy Bathroom Rug | 13875 | none | -248170 | none | ||
| 14998 | Step Stools for Kids - Toddler Step Stool | 336 | Baby & Toddler > Baby Safety | none | -261709 | none |