Fold 0 - Understanding why coefficient 3532486 was selected
Tag: BUTTON DOWN SHIRT
Selected Coefficient: 3532486
Taxonomy Path: 1.1.13.7
Taxonomy Name: Apparel & Accessories > Clothing > Clothing Tops > Shirts
Products with this tag: 8
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? |
|---|---|---|---|---|---|
| 3532486 | 0.000160 | 1.1.13.7 | 7.13.1.1 (7*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > Shirts | Yes |
| 25044 | 0.001122 | 1.1.4 | 4.1.1 (4*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Dresses | No |
These are the training products that have the "BUTTON DOWN SHIRT" tag (processing sequence 897). 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 | 3532486 | Apparel & Accessories > Clothing > Clothing Tops > Shirts | none | 0 | ESSENTIEL ANTWERP, TOPSBUTTON UP | |
| 877 | Desdemona | 3532486 | Apparel & Accessories > Clothing > Clothing Tops > Shirts | none | 0 | TOPSBUTTON UP | |
| 894 | Dolivia | 3532486 | Apparel & Accessories > Clothing > Clothing Tops > Shirts | none | 0 | ESSENTIEL ANTWERP, TOPSBUTTON UP | |
| 900 | Dorothy | 3532486 | Apparel & Accessories > Clothing > Clothing Tops > Shirts | none | 0 | ESSENTIEL ANTWERP, TOPSBUTTON UP | |
| 993 | Kris Shirt | 3532486 | Apparel & Accessories > Clothing > Clothing Tops > Shirts | none | 0 | TOPSBUTTON UP | |
| 1084 | Wylan | 3532486 | Apparel & Accessories > Clothing > Clothing Tops > Shirts | none | 0 | CREAM, TOPSBUTTON UP, XIRENA CLOTHING | |
| 6107 | Riley Frayed Hem Shirt- Optic White | 3532486 | Apparel & Accessories > Clothing > Clothing Tops > Shirts | none | 0 | none | |
| 6231 | Monita Shirt Dress - Violet | 25044 | Apparel & Accessories > Clothing > Dresses | none | -3507442 | none |