Fold 3 - Understanding why coefficient 2570982 was selected
Tag: BUTTON DOWN SHIRT
Selected Coefficient: 2570982
Taxonomy Path: 1.1.13.7
Taxonomy Name: Apparel & Accessories > Clothing > Clothing Tops > Shirts
Products with this tag: 6
Unique residual values tried: 1
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? |
|---|---|---|---|---|---|
| 2570982 | 0.000000 | 1.1.13.7 | 7.13.1.1 (7*71^3 + 13*71^2 + 71 + 1) | Apparel & Accessories > Clothing > Clothing Tops > Shirts | Yes |
These are the training products that have the "BUTTON DOWN SHIRT" tag (processing sequence 538). 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 |
|---|---|---|---|---|---|---|---|
| 870 | Daron Oversized Shirt | 2570982 | Apparel & Accessories > Clothing > Clothing Tops > Shirts | none | 0 | ESSENTIEL ANTWERP, TOPSBUTTON UP | |
| 877 | Desdemona | 2570982 | Apparel & Accessories > Clothing > Clothing Tops > Shirts | none | 0 | ESSENTIEL, TOPSBUTTON UP | |
| 900 | Dorothy | 2570982 | Apparel & Accessories > Clothing > Clothing Tops > Shirts | none | 0 | ESSENTIEL ANTWERP, TOPSBUTTON UP | |
| 993 | Kris Shirt | 2570982 | Apparel & Accessories > Clothing > Clothing Tops > Shirts | none | 0 | TOPSBUTTON UP | |
| 1084 | Wylan | 2570982 | Apparel & Accessories > Clothing > Clothing Tops > Shirts | none | 0 | TOPSBUTTON UP, XIRENA CLOTHING | |
| 6107 | Riley Frayed Hem Shirt- Optic White | 2570982 | Apparel & Accessories > Clothing > Clothing Tops > Shirts | none | 0 | none |