Fold 0 - Understanding why coefficient 4099039 was selected
Tag: MEN'S BOTTOMS
Selected Coefficient: 4099039
Taxonomy Path: 1.1.14.7
Taxonomy Name:
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? |
|---|---|---|---|---|---|
| 4099039 | 0.000005 | 1.1.14.7 | 7.14.1.1 (7*83^3 + 14*83^2 + 83 + 1) | Yes | |
| 96530 | 0.000007 | 1.1.14 | 14.1.1 (14*83^2 + 83 + 1) | Apparel & Accessories > Clothing > Shorts | No |
| 2383678 | 0.000009 | 1.1.14.4 | 4.14.1.1 (4*83^3 + 14*83^2 + 83 + 1) | No |
These are the training products that have the "MEN'S BOTTOMS" tag (processing sequence 4615). 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 |
|---|---|---|---|---|---|---|---|
| 5039 | 5th Infantry Performance Shorts | 4099039 | none | 0 | SHORTS, 132 | ||
| 5040 | CIB 2nd Award Performance Shorts | 4099039 | none | 0 | SHORTS | ||
| 5045 | De Oppresso Liber Performance Shorts | 4099039 | none | 0 | SHORTS, 132 | ||
| 5037 | 42nd Infantry Performance Shorts | 2383678 | none | -1715361 | SHORTS, 132 | ||
| 5036 | 35th Infantry Performance Shorts | 96530 | Apparel & Accessories > Clothing > Shorts | none | -4002509 | SHORTS, 132 | |
| 5038 | 509th Infantry Performance Shorts | 96530 | Apparel & Accessories > Clothing > Shorts | none | -4002509 | SHORTS, 132 |