Fold 4 - Understanding why coefficient 4518564 was selected
Tag: ROYAL BLUE
Selected Coefficient: 4518564
Taxonomy Path: 1.1.13.9
Taxonomy Name: Apparel & Accessories > Clothing > Clothing Tops > Tank Tops
Products with this tag: 2
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? |
|---|---|---|---|---|---|
| 4518564 | 1.000000 | 1.1.13.9 | 9.13.1.1 (9*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > Tank Tops | Yes |
| 197128955 | 1.000000 | 18.9.65.4.5 | 5.4.65.9.18 (5*79^4 + 4*79^3 + 65*79^2 + 9*79 + 18) | No |
These are the training products that have the "ROYAL BLUE" tag (processing sequence 3382). 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 |
|---|---|---|---|---|---|---|---|
| 6146 | Zeta "Finer Accessories Kit" | 197128955 | AMICAE | 192610391 | none | ||
| 10863 | 2022 Bike Week Daytona Beach Bright Skull Muscle Shirt | 4518564 | Apparel & Accessories > Clothing > Clothing Tops > Tank Tops | none | 0 | none |