Fold 1 - Understanding why coefficient 4025525 was selected
Tag: JUST A KID FROM
Selected Coefficient: 4025525
Taxonomy Path: 1.1.13.8
Taxonomy Name: Apparel & Accessories > Clothing > Clothing Tops > T-Shirts
Products with this tag: 7
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? |
|---|---|---|---|---|---|
| 4025525 | 0.000002 | 1.1.13.8 | 8.13.1.1 (8*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | Yes |
| 6983759 | 0.000012 | 1.1.13.14 | 14.13.1.1 (14*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > Sweatshirts | No |
These are the training products that have the "JUST A KID FROM" tag (processing sequence 1837). 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 |
|---|---|---|---|---|---|---|---|
| 6016 | Just a kid from New York - Sweatshirt | 6983759 | Apparel & Accessories > Clothing > Clothing Tops > Sweatshirts | none | 2958234 | none | |
| 5978 | Just a kid from Seattle - kids tees | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 5988 | "Just a kid from Oakland" - kids tees | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 5883 | Just a kid from Queens | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 5999 | "Just a kid from San Francisco" kids tee | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 6027 | "Just a kid from Boston" kids tee | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 5989 | "Just a kid from San Diego" kids tee | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none |