Fold 4 - Understanding why coefficient 56802 was selected
Tag: CASUAL-SHOES
Selected Coefficient: 56802
Taxonomy Path: 1.8.9
Taxonomy Name: Apparel & Accessories > Shoes > Flats
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? |
|---|---|---|---|---|---|
| 56802 | 2.000000 | 1.8.9 | 9.8.1 (9*79^2 + 8*79 + 1) | Apparel & Accessories > Shoes > Flats | Yes |
| -1529045 | 2.000160 | -0.0.8.3 | -3.8.0.0 (-(3*79^3 + 8*79^2)) | No | |
| 4443592 | 2.000160 | 0.0.1.9 | 9.1.0.0 (9*79^3 + 6241) | No |
These are the training products that have the "CASUAL-SHOES" tag (processing sequence 941). 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 |
|---|---|---|---|---|---|---|---|
| 11831 | Desert Boots | 4443592 | SUEDE, 100-150, AD | 4386790 | FALL, PATTERNED, SIZE-11-5 | ||
| 11836 | Baldwin Penny Loafers | 56802 | Apparel & Accessories > Shoes > Flats | none | 0 | none | |
| 11891 | Dayton Woven Penny Loafers | 56802 | Apparel & Accessories > Shoes > Flats | none | 0 | none | |
| 11858 | Desert One Chelsea Boots | -1529045 | SUEDE, AD | -1585847 | DAVID-EDWARDS, FALL, SIZE-10 |