Fold 4 - Understanding why coefficient 81292 was selected
Tag: PROTECTION
Selected Coefficient: 81292
Taxonomy Path: 1.2.13
Taxonomy Name: Apparel & Accessories > Clothing Accessories > Gloves & Mittens
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? |
|---|---|---|---|---|---|
| 81292 | 1.000000 | 1.2.13 | 13.2.1 (13*79^2 + 2*79 + 1) | Apparel & Accessories > Clothing Accessories > Gloves & Mittens | Yes |
| 43412501 | 1.000000 | 26.1.4.9.1 | 1.9.4.1.26 (38950081 + 9*79^3 + 4*79^2 + 79 + 26) | Vehicles & Parts > Vehicle Parts & Accessories > Motor Vehicle Parts > Motor Vehicle Frame & Body Parts > Bumpers | No |
These are the training products that have the "PROTECTION" tag (processing sequence 3378). 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 |
|---|---|---|---|---|---|---|---|
| 17962 | Nose Guard | 43412501 | Vehicles & Parts > Vehicle Parts & Accessories > Motor Vehicle Parts > Motor Vehicle Frame & Body Parts > Bumpers | none | 43331209 | PLACCDLR, TRUCK PARTS COLLECTION | |
| 17757 | Ampere Gloves | 81292 | Apparel & Accessories > Clothing Accessories > Gloves & Mittens | none | 0 | NEW PRODUCT |