Fold 3 - Understanding why coefficient 1839447 was selected
Tag: VANNUCCI
Selected Coefficient: 1839447
Taxonomy Path: 1.1.18.3
Taxonomy Name: Apparel & Accessories > Clothing > Socks > Crew Socks
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? |
|---|---|---|---|---|---|
| 1839447 | 0.012048 | 1.1.18.3 | 3.18.1.1 (3*83^3 + 18*83^2 + 83 + 1) | Apparel & Accessories > Clothing > Socks > Crew Socks | Yes |
| 167 | 0.048193 | 1.2 | 2.1 (2*83 + 1) | No |
These are the training products that have the "VANNUCCI" tag (processing sequence 2877). 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 | 1839447 | Apparel & Accessories > Clothing > Socks > Crew Socks | none | 0 | SOCKS | |
| 11792 | Vadala Paisley Fashion Socks | 1839447 | Apparel & Accessories > Clothing > Socks > Crew Socks | none | 0 | SOCKS | |
| 11805 | Vago Paisley Fashion Socks | 1839447 | Apparel & Accessories > Clothing > Socks > Crew Socks | none | 0 | SOCKS | |
| 11819 | Vadala Paisley Fashion Socks | 1839447 | Apparel & Accessories > Clothing > Socks > Crew Socks | none | 0 | SOCKS | |
| 11804 | Vago Paisley Fashion Socks | 167 | none | -1839280 | SOCKS |