Fold 1 - Understanding why coefficient 156276 was selected
Tag: HORIZONTAL
Selected Coefficient: 156276
Taxonomy Path: 14.3.25
Taxonomy Name: Home & Garden > Decor > Decorative Trays
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? |
|---|---|---|---|---|---|
| 156276 | 1.000000 | 14.3.25 | 25.3.14 (25*79^2 + 3*79 + 14) | Home & Garden > Decor > Decorative Trays | Yes |
| 6402 | 2.000000 | 3.2.1 | 1.2.3 (6241 + 2*79 + 3) | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts | No |
These are the training products that have the "HORIZONTAL" tag (processing sequence 2389). 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 |
|---|---|---|---|---|---|---|---|
| 7894 | Neutral Tray | 156276 | Home & Garden > Decor > Decorative Trays | none | 0 | FUSED GLASS, TRAY | |
| 7896 | Rainbow Tray | 156276 | Home & Garden > Decor > Decorative Trays | none | 0 | FUSED GLASS, TRAY | |
| 7871 | Roebling Suspension Bridge, Early Morning | 6402 | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts | none | -149874 | CANVAS |