Fold 0 - Understanding why coefficient 5498401 was selected
Tag: LINEN
Selected Coefficient: 5498401
Taxonomy Path: 1.1.12.11
Taxonomy Name: Apparel & Accessories > Clothing > Pants > Trousers
Products with this tag: 3
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? |
|---|---|---|---|---|---|
| 5498401 | 1.000000 | 1.1.12.11 | 11.12.1.1 (11*79^3 + 12*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Pants > Trousers | Yes |
| -14541770 | 2.000000 | -3.3.39.29 | -29.39.3.3 (-(29*79^3 + 39*79^2 + 3*79 + 3)) | No |
These are the training products that have the "LINEN" tag (processing sequence 1915). 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 |
|---|---|---|---|---|---|---|---|
| 1030 | Utility Tie Waist Trouser | 5498401 | Apparel & Accessories > Clothing > Pants > Trousers | none | 0 | none | |
| 6141 | Gwyneth Heavy Linen Wide Leg Pant - Flamingo | 5498401 | Apparel & Accessories > Clothing > Pants > Trousers | none | 0 | VELVET | |
| 11871 | Trevor Short Sleeve Linen Shirt | -14541770 | PINK, 50-100, CLOTHING, COTTON | -20040171 | SHORT-SLEEVE |