Fold 3 - Understanding why coefficient -4025525 was selected
Tag: AMERICA
Selected Coefficient: -4025525
Taxonomy Path: -1.1.13.8
Taxonomy Name:
Products with this tag: 8
Unique residual values tried: 4
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? |
|---|---|---|---|---|---|
| -4025525 | 5.000000 | -1.1.13.8 | -8.13.1.1 (-(8*79^3 + 13*79^2 + 79 + 1)) | Yes | |
| 0 | 5.000000 | 0 | 0 (0) | No | |
| -6447113 | 6.000002 | -2.2.6.13 | -13.6.2.2 (-(13*79^3 + 6*79^2 + 2*79 + 2)) | No | |
| -530645 | 6.000002 | -2.2.6.1 | -1.6.2.2 (-(493039 + 6*79^2 + 2*79 + 2)) | No |
These are the training products that have the "AMERICA" tag (processing sequence 3806). 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 |
|---|---|---|---|---|---|---|---|
| 11965 | Leather Heritage Belt - Dark Brown | 0 | BELTS | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | |
| 11970 | American Flag Ribbon Belt | 0 | RIBBON BELTS | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | |
| 11966 | Leather Heritage Belt - Light Brown | 0 | BELTS | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | |
| 17657 | Liberty Floral Dog Bandana | -530645 | GIRLY, DOG BANDANA | 3494880 | none | ||
| 46 | Patriotic ‘Thin Blue America’ Capri Leggings | -4025525 | LEGGINGS, APPAREL | 0 | none | ||
| 43 | Patriotic ‘AMERICA’ Capri Leggings | -4025525 | LEGGINGS, APPAREL | 0 | none | ||
| 42 | Patriotic ‘AMERICA’ Bikini | -4025525 | BIKINI, APPAREL | 0 | none | ||
| 44 | Patriotic ‘AMERICA’ Women’s Crop Tee | -6447113 | SHIRT, APPAREL | -2421588 | CROP TOP |