Fold 3 - Understanding why coefficient 569 was selected
Tag: ANKLE BOOTS
Selected Coefficient: 569
Taxonomy Path: 1.8
Taxonomy Name: Apparel & Accessories > Shoes
Products with this tag: 5
Unique residual values tried: 5
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? |
|---|---|---|---|---|---|
| 569 | 2.028169 | 1.8 | 8.1 (8*71 + 1) | Apparel & Accessories > Shoes | Yes |
| 25632 | 2.028169 | 1.6.5 | 5.6.1 (5*71^2 + 6*71 + 1) | Apparel & Accessories > Jewelry > Charms & Pendants | No |
| 2938833 | 2.028169 | 1.70.14.8 | 8.14.70.1 (8*71^3 + 14*71^2 + 70*71 + 1) | No | |
| -2913201 | 3.014085 | -0.64.9.8 | -8.9.64.0 (-(8*71^3 + 9*71^2 + 64*71)) | No | |
| 0 | 3.014085 | 0 | 0 (0) | No |
These are the training products that have the "ANKLE BOOTS" tag (processing sequence 423). 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 |
|---|---|---|---|---|---|---|---|
| 9540 | RAPTOR: KHAKI STRETCH LYCRA BOOTS | 2938833 | TRAINERS, STRETCH, KHAKI | 2938264 | none | ||
| 9537 | CAMINO: KHAKI SUEDE AND SHEARLING BOOTS | 25632 | Apparel & Accessories > Jewelry > Charms & Pendants | KHAKI | 25063 | none | |
| 9536 | CAMINO: TAN SUEDE AND SHEARLING BOOTS | 569 | Apparel & Accessories > Shoes | TAN | 0 | none | |
| 9406 | RAPTOR: BLACK STRETCH LYCRA BOOTS | 0 | BLACK, TRAINERS, STRETCH | -569 | none | ||
| 9538 | CAMINO: BLACK SUEDE AND SHEARLING BOOTS | -2913201 | BLACK | -2913770 | none |