Fold 1 - Understanding why coefficient 7845016 was selected
Tag: WORKWEAR HAT/MASK
Selected Coefficient: 7845016
Taxonomy Path: 0.1.72.15
Taxonomy Name:
Products with this tag: 4
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? |
|---|---|---|---|---|---|
| 7845016 | 1.000002 | 0.1.72.15 | 15.72.1.0 (15*79^3 + 72*79^2 + 79) | Yes | |
| 942470 | 1.000004 | 0.1.72.1 | 1.72.1.0 (493039 + 72*79^2 + 79) | No | |
| -149864 | 3.000000 | -1.1.24 | -24.1.1 (-(24*79^2 + 79 + 1)) | No |
These are the training products that have the "WORKWEAR HAT/MASK" tag (processing sequence 3127). 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 |
|---|---|---|---|---|---|---|---|
| 12557 | Tough Duck® Hi-Vis Aviator Hat i15516 | 7845016 | BLANK | 0 | none | ||
| 12558 | Tough Duck® Plaid Aviator Hat i15616 | 7845016 | BLANK | 0 | none | ||
| 12576 | Tough Duck®Acrylic Knit Cap with Reflective Stripe i45816 | 942470 | BLANK | -6902546 | none | ||
| 12577 | Tough Duck®Tough Duck Logo Knit Cap i36516 | -149864 | BEANIE, BLANK | -7994880 | none |