Fold 2 - Understanding why coefficient 4456234 was selected
Tag: PETS
Selected Coefficient: 4456234
Taxonomy Path: 2.2.3.9
Taxonomy Name: Animals & Pet Supplies > Pet Supplies > Dog Supplies > Dog Treats
Products with this tag: 3
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 | 1.000160 | 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 |
| 6940152 | 1.000160 | 2.2.6.14 | 14.6.2.2 (14*79^3 + 6*79^2 + 2*79 + 2) | Animals & Pet Supplies > Pet Supplies > Pet Apparel > Pet Shoes | No |
| -2042034 | 2.000000 | -42.15.11.4 | -4.11.15.42 (-(4*79^3 + 11*79^2 + 15*79 + 42)) | No |
These are the training products that have the "PETS" tag (processing sequence 2294). 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 |
|---|---|---|---|---|---|---|---|
| 10711 | Sport Dog Shoes | 6940152 | Animals & Pet Supplies > Pet Supplies > Pet Apparel > Pet Shoes | none | 2483918 | none | |
| 5802 | Dog Treats All Natural - Petphoria | 4456234 | Animals & Pet Supplies > Pet Supplies > Dog Supplies > Dog Treats | none | 0 | none | |
| 3136 | Native Neem Organic Neem Oil | -2042034 | ORGANIC, REUSABLE, BATHROOM, HAIR | -6498268 | none |