Fold 1 - Understanding why coefficient 4025525 was selected
Tag: M
Selected Coefficient: 4025525
Taxonomy Path: 1.1.13.8
Taxonomy Name: Apparel & Accessories > Clothing > Clothing Tops > T-Shirts
Products with this tag: 4
Unique residual values tried: 3
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 | 0.000004 | 1.1.13.8 | 8.13.1.1 (8*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | Yes |
| 574252 | 0.000006 | 1.1.13.1 | 1.13.1.1 (493039 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > Blouses | No |
| 3532486 | 0.000006 | 1.1.13.7 | 7.13.1.1 (7*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > Shirts | No |
These are the training products that have the "M" tag (processing sequence 3154). 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 |
|---|---|---|---|---|---|---|---|
| 8354 | Potatoes Slightly Cropped Tee | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 20322 | Mid-neck Men's Fleece Warm Bottoming Top T-shirt | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 8563 | Blue Cotton Cashmere Shirt | 3532486 | Apparel & Accessories > Clothing > Clothing Tops > Shirts | none | -493039 | S | |
| 17741 | Camiseta Mangas Petalo Azul 11930 | 574252 | Apparel & Accessories > Clothing > Clothing Tops > Blouses | none | -3451273 | S, XL |