Fold 4 - Understanding why coefficient 151725 was selected
Tag: TOUGH DUCK
Selected Coefficient: 151725
Taxonomy Path: 1.2.22
Taxonomy Name:
Products with this tag: 6
Unique residual values tried: 5
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? |
|---|---|---|---|---|---|
| 151725 | 3.012193 | 1.2.22 | 22.2.1 (22*83^2 + 2*83 + 1) | Yes | |
| 9265872 | 3.012193 | 1.2.17.16 | 16.17.2.1 (16*83^3 + 17*83^2 + 2*83 + 1) | No | |
| 165420 | 3.024096 | 1.1.24 | 24.1.1 (24*83^2 + 83 + 1) | No | |
| 0 | 4.000000 | 0 | 0 (0) | No | |
| -1260854 | 5.000000 | -1.2.17.2 | -2.17.2.1 (-(2*83^3 + 17*83^2 + 2*83 + 1)) | No |
These are the training products that have the "TOUGH DUCK" tag (processing sequence 4692). 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 |
|---|---|---|---|---|---|---|---|
| 12558 | Tough Duck® Plaid Aviator Hat i15616 | 9265872 | none | 9114147 | none | ||
| 12600 | Tough Duck® Women’s Quilt-Lined Flannel Shirt WS11 | 165420 | none | 13695 | WORKWEAR | ||
| 12566 | Tough Duck® Acrylic Neck Warmer i25716 | 151725 | none | 0 | none | ||
| 12567 | Tough Duck® Reversible Safety Beanie SA2831 | 0 | BEANIE | -151725 | WORKWEAR | ||
| 12576 | Tough Duck®Acrylic Knit Cap with Reflective Stripe i45816 | 0 | TOQUE | -151725 | none | ||
| 12577 | Tough Duck®Tough Duck Logo Knit Cap i36516 | -1260854 | TOQUE, BEANIE | -1412579 | none |