Fold 3 - Understanding why coefficient 30815 was selected
Tag: BIRKENSTOCKS
Selected Coefficient: 30815
Taxonomy Path: 1.8.6
Taxonomy Name: Apparel & Accessories > Shoes > Sandals
Products with this tag: 8
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? |
|---|---|---|---|---|---|
| 30815 | 1.000000 | 1.8.6 | 6.8.1 (6*71^2 + 8*71 + 1) | Apparel & Accessories > Shoes > Sandals | Yes |
| -24708 | 7.000000 | -0.64.4 | -4.64.0 (-(4*71^2 + 64*71)) | No |
These are the training products that have the "BIRKENSTOCKS" tag (processing sequence 499). 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 |
|---|---|---|---|---|---|---|---|
| 818 | Arizona EVA: Black | 30815 | Apparel & Accessories > Shoes > Sandals | none | 0 | none | |
| 819 | Arizona EVA: Gold | 30815 | Apparel & Accessories > Shoes > Sandals | none | 0 | none | |
| 820 | Arizona EVA: White | 30815 | Apparel & Accessories > Shoes > Sandals | none | 0 | none | |
| 821 | Arizona Soft Footbed: Black | 30815 | Apparel & Accessories > Shoes > Sandals | none | 0 | none | |
| 823 | Arizona Soft Footbed: Taupe Suede | 30815 | Apparel & Accessories > Shoes > Sandals | none | 0 | none | |
| 830 | Barbados EVA: Watermelon | 30815 | Apparel & Accessories > Shoes > Sandals | none | 0 | none | |
| 954 | Gizeh EVA: Black | 30815 | Apparel & Accessories > Shoes > Sandals | none | 0 | none | |
| 955 | Gizeh EVA: White | -24708 | WHITE | -55523 | none |