Fold 3 - Understanding why coefficient 237409 was selected
Tag: HOME ESSENTIALS
Selected Coefficient: 237409
Taxonomy Path: 14.3.38
Taxonomy Name: Home & Garden > Decor > Home Decor Decals
Products with this tag: 3
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? |
|---|---|---|---|---|---|
| 237409 | 0.012658 | 14.3.38 | 38.3.14 (38*79^2 + 3*79 + 14) | Home & Garden > Decor > Home Decor Decals | Yes |
| 4444317 | 0.025316 | 14.9.1.9 | 9.1.9.14 (9*79^3 + 6241 + 9*79 + 14) | Home & Garden > Household Appliances > Climate Control Appliances > Humidifiers | No |
These are the training products that have the "HOME ESSENTIALS" tag (processing sequence 2425). 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 | 4444317 | Home & Garden > Household Appliances > Climate Control Appliances > Humidifiers | none | 4206908 | none | |
| 15014 | 3D Butterfly Wall Decor - 24 Pieces | 237409 | Home & Garden > Decor > Home Decor Decals | none | 0 | WALL DECOR | |
| 15015 | 3D Butterfly Wall Decor - 48 Pieces | 237409 | Home & Garden > Decor > Home Decor Decals | none | 0 | none |