Fold 1 - Understanding why coefficient 4456234 was selected
Tag: DOG TAG
Selected Coefficient: 4456234
Taxonomy Path: 2.2.3.9
Taxonomy Name: Animals & Pet Supplies > Pet Supplies > Dog Supplies > Dog Treats
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? |
|---|---|---|---|---|---|
| 4456234 | 2.000000 | 2.2.3.9 | 9.3.2.2 (9*79^3 + 3*79^2 + 2*79 + 2) | Animals & Pet Supplies > Pet Supplies > Dog Supplies > Dog Treats | Yes |
| 31680 | 2.000160 | 1.6.5 | 5.6.1 (5*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Charms & Pendants | No |
| 50403 | 2.000160 | 1.6.8 | 8.6.1 (8*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Necklaces | No |
These are the training products that have the "DOG TAG" tag (processing sequence 3109). 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 |
|---|---|---|---|---|---|---|---|
| 7505 | 1" Puppy - Assorted | 4456234 | Animals & Pet Supplies > Pet Supplies > Dog Supplies > Dog Treats | none | 0 | none | |
| 7506 | 1.5" 'Fetch' Bone | 4456234 | Animals & Pet Supplies > Pet Supplies > Dog Supplies > Dog Treats | none | 0 | none | |
| 9251 | Floral Dreamcatcher Dog Tag | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | -4405831 | none | |
| 9249 | Turquoise Wolf Feather Wolf Tag | 31680 | Apparel & Accessories > Jewelry > Charms & Pendants | none | -4424554 | none |