Fold 3 - Understanding why coefficient 4406146 was selected
Tag: VANNUCCI
Selected Coefficient: 4406146
Taxonomy Path: 0.0.74.8
Taxonomy Name:
Products with this tag: 5
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? |
|---|---|---|---|---|---|
| 4406146 | 2.000160 | 0.0.74.8 | 8.74.0.0 (8*79^3 + 74*79^2) | Yes | |
| 0 | 2.000320 | 0 | 0 (0) | No | |
| 4406305 | 3.012658 | 1.2.74.8 | 8.74.2.1 (8*79^3 + 74*79^2 + 2*79 + 1) | No | |
| 5997681 | 3.012658 | 1.1.13.12 | 12.13.1.1 (12*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | No |
These are the training products that have the "VANNUCCI" tag (processing sequence 3016). 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 |
|---|---|---|---|---|---|---|---|
| 11380 | Vader Dotted Fashion Socks | 5997681 | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | CLOTHING, COTTON-BLEND, SOCKS, UNDER-50 | 1591535 | Apparel & Accessories > Clothing > Socks > Crew Socks | MULTI |
| 11804 | Vago Paisley Fashion Socks | 4406305 | CLOTHING, COTTON-BLEND, SOCKS, UNDER-50 | 159 | Apparel & Accessories > Clothing Accessories | MULTI | |
| 11805 | Vago Paisley Fashion Socks | 4406146 | CHARCOAL, CLOTHING, COTTON-BLEND, SOCKS, UNDER-50 | 0 | MULTI | ||
| 11819 | Vadala Paisley Fashion Socks | 4406146 | CHARCOAL, CLOTHING, COTTON-BLEND, SOCKS, UNDER-50 | 0 | MULTI | ||
| 11803 | Vaca Diamond Fashion Socks | 0 | BLUE, CLOTHING, COTTON-BLEND, SOCKS, UNDER-50 | -4406146 | MULTI |