Fold 3 - Understanding why coefficient 844 was selected
Tag: PILLOW
Selected Coefficient: 844
Taxonomy Path: 14.10
Taxonomy Name:
Products with this tag: 4
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? |
|---|---|---|---|---|---|
| 844 | 1.024096 | 14.10 | 10.14 (10*83 + 14) | Yes | |
| 441159 | 1.024096 | 14.3.64 | 64.3.14 (64*83^2 + 3*83 + 14) | No | |
| 5154231 | 1.024096 | 14.15.1.9 | 9.1.15.14 (9*83^3 + 6889 + 15*83 + 14) | No | |
| 99340376 | 3.000000 | 0.12.61.7.2 | 2.7.61.12.0 (2*83^4 + 7*83^3 + 61*83^2 + 12*83) | No |
These are the training products that have the "PILLOW" tag (processing sequence 6740). 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 | 99340376 | DECOR | 99339532 | none | ||
| 18212 | Bolster Pillow | 5154231 | none | 5153387 | HOME | ||
| 18177 | Lavender Vibrant Butterfly Small Pillow | 441159 | none | 440315 | HOME | ||
| 18186 | Large Square Lavender Sachet | 844 | none | 0 | HOME |