Fold 3 - Understanding why coefficient 37605 was selected
Tag: BELTS
Selected Coefficient: 37605
Taxonomy Path: 1.2.6
Taxonomy Name: Apparel & Accessories > Clothing Accessories > Belts
Products with this tag: 11
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? |
|---|---|---|---|---|---|
| 37605 | 3.000000 | 1.2.6 | 6.2.1 (6*79^2 + 2*79 + 1) | Apparel & Accessories > Clothing Accessories > Belts | Yes |
| -5960076 | 8.000160 | -0.78.6.12 | -12.6.78.0 (-(12*79^3 + 6*79^2 + 78*79)) | No | |
| 12561 | 8.000320 | 0.1.2 | 2.1.0 (2*79^2 + 79) | No |
These are the training products that have the "BELTS" tag (processing sequence 787). 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 |
|---|---|---|---|---|---|---|---|
| 1019 | Monterey Chevron Belt | 37605 | Apparel & Accessories > Clothing Accessories > Belts | none | 0 | none | |
| 5517 | Long Red Faux Belt | 37605 | Apparel & Accessories > Clothing Accessories > Belts | none | 0 | none | |
| 5619 | Long Kelly Green Faux Belt | 37605 | Apparel & Accessories > Clothing Accessories > Belts | none | 0 | none | |
| 5629 | Long Gold Faux Belt | 37605 | Apparel & Accessories > Clothing Accessories > Belts | none | 0 | none | |
| 10433 | Fox and Horn Ribbon Belt | 37605 | Apparel & Accessories > Clothing Accessories > Belts | none | 0 | none | |
| 11856 | Nevan Casual Track Belt | 37605 | Apparel & Accessories > Clothing Accessories > Belts | none | 0 | FALL, UNDER-50 | |
| 11965 | Leather Heritage Belt - Dark Brown | 37605 | Apparel & Accessories > Clothing Accessories > Belts | none | 0 | none | |
| 11966 | Leather Heritage Belt - Light Brown | 37605 | Apparel & Accessories > Clothing Accessories > Belts | none | 0 | none | |
| 11847 | Nampa Classic Leather Belt | 12561 | BROWN | -25044 | FALL, NEW-EDITION-FASHION | ||
| 11877 | Vartan Braided Belt | -5960076 | CASUAL | -5997681 | UNDER-50 | ||
| 11860 | Valente Classic Leather Belt | -5960076 | CASUAL | -5997681 | FALL, UNDER-50 |