Fold 0 - Understanding why coefficient 1260854 was selected
Tag: BEANIE
Selected Coefficient: 1260854
Taxonomy Path: 1.2.17.2
Taxonomy Name:
Products with this tag: 9
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? |
|---|---|---|---|---|---|
| 1260854 | 5.000000 | 1.2.17.2 | 2.17.2.1 (2*83^3 + 17*83^2 + 2*83 + 1) | Yes | |
| 0 | 6.000000 | 0 | 0 (0) | No | |
| 4044011 | 7.000000 | 2.2.6.7 | 7.6.2.2 (7*83^3 + 6*83^2 + 2*83 + 2) | Animals & Pet Supplies > Pet Supplies > Pet Apparel > Pet Hats | No |
These are the training products that have the "BEANIE" tag (processing sequence 3358). 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 |
|---|---|---|---|---|---|---|---|
| 10708 | Beanie & Scarf Dog Combo | 4044011 | Animals & Pet Supplies > Pet Supplies > Pet Apparel > Pet Hats | none | 2783157 | HAT | |
| 10703 | Marbled Grey Knitted Warm Dog Beanie | 4044011 | Animals & Pet Supplies > Pet Supplies > Pet Apparel > Pet Hats | none | 2783157 | HAT | |
| 1408 | IAM Worthy Scully | 1260854 | none | 0 | HAT | ||
| 12567 | Tough Duck® Reversible Safety Beanie SA2831 | 1260854 | none | 0 | TOUGH DUCK | ||
| 21201 | Wolf Tooth Components Merino Wool Watch Hat | 1260854 | none | 0 | HAT | ||
| 23821 | FACTORY BEANIE (PINK & TAN SOLD OUT) | 1260854 | none | 0 | none | ||
| 12412 | AJM AJM Acrylic Board Toque, Chunky Cable Knit 9J037M | 0 | TOQUE | -1260854 | AJM, HAT | ||
| 24646 | Hand-Knotted Chullo Winter Magenta Pink Reversible. Alpaca Wool Blend with Earflaps Inca Culture Design. Rustic Unisex | 0 | SHAWL | -1260854 | COLD, HAT, WRAP | ||
| 12577 | Tough Duck®Tough Duck Logo Knit Cap i36516 | 0 | TOQUE | -1260854 | TOUGH DUCK |