Fold 3 - Understanding why coefficient 441159 was selected
Tag: PILLOWS
Selected Coefficient: 441159
Taxonomy Path: 14.3.64
Taxonomy Name:
Products with this tag: 5
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? |
|---|---|---|---|---|---|
| 441159 | 0.024096 | 14.3.64 | 64.3.14 (64*83^2 + 3*83 + 14) | Yes | |
| 5154231 | 0.036145 | 14.15.1.9 | 9.1.15.14 (9*83^3 + 6889 + 15*83 + 14) | No |
These are the training products that have the "PILLOWS" tag (processing sequence 4068). 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 |
|---|---|---|---|---|---|---|---|
| 18786 | Deco pillow | 5154231 | none | 4713072 | none | ||
| 29045 | Light Blue & White Quatrefoil Pillow | 5154231 | none | 4713072 | BEDDING | ||
| 31702 | SATC Cushion Mini | 441159 | none | 0 | none | ||
| 31721 | Chocoholic Cushion Mini | 441159 | none | 0 | none | ||
| 31746 | LA/NYC Cushion Mini | 441159 | none | 0 | none |