Fold 0 - Understanding why coefficient 441159 was selected
Tag: PILLOW
Selected Coefficient: 441159
Taxonomy Path: 14.3.64
Taxonomy Name:
Products with this tag: 5
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? |
|---|---|---|---|---|---|
| 441159 | 0.024096 | 14.3.64 | 64.3.14 (64*83^2 + 3*83 + 14) | Yes | |
| 5154231 | 0.036146 | 14.15.1.9 | 9.1.15.14 (9*83^3 + 6889 + 15*83 + 14) | No | |
| 99499086 | 0.036146 | 14.15.1.8.2 | 2.8.1.15.14 (2*83^4 + 8*83^3 + 6889 + 15*83 + 14) | No |
These are the training products that have the "PILLOW" tag (processing sequence 3974). 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 |
|---|---|---|---|---|---|---|---|
| 31719 | Ouija Board printing Pillowcase 16x16 inch (two sides)Zippered Pillow Cover | 99499086 | none | 99057927 | DECOR | ||
| 18212 | Bolster Pillow | 5154231 | none | 4713072 | HOME | ||
| 18178 | Fur Decorative Pillow | 441159 | none | 0 | BFF, HOME | ||
| 18198 | Small Bolster Pillow | 441159 | none | 0 | HOME | ||
| 18211 | Medium Lavender Pillow | 441159 | none | 0 | HOME |