Fold 4 - Understanding why coefficient 25044 was selected
Tag: ESTATE
Selected Coefficient: 25044
Taxonomy Path: 1.1.4
Taxonomy Name: Apparel & Accessories > Clothing > Dresses
Products with this tag: 2
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? |
|---|---|---|---|---|---|
| 25044 | 0.000160 | 1.1.4 | 4.1.1 (4*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Dresses | Yes |
| 574252 | 0.000160 | 1.1.13.1 | 1.13.1.1 (493039 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > Blouses | No |
These are the training products that have the "ESTATE" tag (processing sequence 3344). 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 |
|---|---|---|---|---|---|---|---|
| 6820 | Top Vienna | 574252 | Apparel & Accessories > Clothing > Clothing Tops > Blouses | none | 549208 | none | |
| 6709 | Abito Emily | 25044 | Apparel & Accessories > Clothing > Dresses | none | 0 | none |