Fold 3 - Understanding why coefficient 3470156 was selected
Tag: FRUIT
Selected Coefficient: 3470156
Taxonomy Path: 2.2.3.7
Taxonomy Name: Animals & Pet Supplies > Pet Supplies > Dog Supplies > Dog Toys
Products with this tag: 2
Unique residual values tried: 2
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? |
|---|---|---|---|---|---|
| 3470156 | 1.000000 | 2.2.3.7 | 7.3.2.2 (7*79^3 + 3*79^2 + 2*79 + 2) | Animals & Pet Supplies > Pet Supplies > Dog Supplies > Dog Toys | Yes |
| 4025525 | 1.000000 | 1.1.13.8 | 8.13.1.1 (8*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | No |
These are the training products that have the "FRUIT" tag (processing sequence 3339). 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 |
|---|---|---|---|---|---|---|---|
| 8573 | Hang in There Tee | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 555369 | none | |
| 17659 | Wagging Watermelon Dog Toy | 3470156 | Animals & Pet Supplies > Pet Supplies > Dog Supplies > Dog Toys | none | 0 | none |