Fold 3 - Understanding why coefficient 4025525 was selected
Tag: MEN T-SHIRT
Selected Coefficient: 4025525
Taxonomy Path: 1.1.13.8
Taxonomy Name: Apparel & Accessories > Clothing > Clothing Tops > T-Shirts
Products with this tag: 6
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 | 0.000162 | 1.1.13.8 | 8.13.1.1 (8*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | Yes |
| 3532486 | 0.000168 | 1.1.13.7 | 7.13.1.1 (7*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > Shirts | No |
| 3538727 | 0.000801 | 1.1.14.7 | 7.14.1.1 (7*79^3 + 14*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Shorts > Jogger Shorts | No |
These are the training products that have the "MEN T-SHIRT" tag (processing sequence 2345). 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 |
|---|---|---|---|---|---|---|---|
| 9971 | CURVED QUAMTICA LUX-TEE | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 12015 | KENZO Men,s Sleeve Text Logo T-Shirt | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 12016 | BOSS Green Regular-fit T-shirt with contrast detail | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 12017 | T-Shirts by HUGO BOSS - Quick Shipping and Returns | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 9970 | CASUAL LOUNGE SHORTS | 3538727 | Apparel & Accessories > Clothing > Shorts > Jogger Shorts | none | -486798 | none | |
| 11885 | Slim Fit Warp & Weft Cotton(jeans) Denim Shirts | 3532486 | Apparel & Accessories > Clothing > Clothing Tops > Shirts | none | -493039 | none |