Fold 3 - Understanding why coefficient 87454 was selected
Tag: MEN'S BOTTOMS
Selected Coefficient: 87454
Taxonomy Path: 1.1.14
Taxonomy Name: Apparel & Accessories > Clothing > Shorts
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? |
|---|---|---|---|---|---|
| 87454 | 0.000006 | 1.1.14 | 14.1.1 (14*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Shorts | Yes |
| 2059610 | 0.000008 | 1.1.14.4 | 4.14.1.1 (4*79^3 + 14*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Shorts > Short Trousers | No |
| 3538727 | 0.000010 | 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'S BOTTOMS" tag (processing sequence 3101). 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 |
|---|---|---|---|---|---|---|---|
| 5040 | CIB 2nd Award Performance Shorts | 3538727 | Apparel & Accessories > Clothing > Shorts > Jogger Shorts | none | 3451273 | none | |
| 5037 | 42nd Infantry Performance Shorts | 2059610 | Apparel & Accessories > Clothing > Shorts > Short Trousers | none | 1972156 | none | |
| 5047 | JROTC Performance Shorts | 2059610 | Apparel & Accessories > Clothing > Shorts > Short Trousers | none | 1972156 | none | |
| 5036 | 35th Infantry Performance Shorts | 87454 | Apparel & Accessories > Clothing > Shorts | none | 0 | none | |
| 5038 | 509th Infantry Performance Shorts | 87454 | Apparel & Accessories > Clothing > Shorts | none | 0 | none | |
| 5046 | EFMB Performance Shorts | 87454 | Apparel & Accessories > Clothing > Shorts | none | 0 | none |