Fold 3 - Understanding why coefficient 31758 was selected
Tag: CASUAL-SHOES
Selected Coefficient: 31758
Taxonomy Path: 0.7.5
Taxonomy Name:
Products with this tag: 6
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? |
|---|---|---|---|---|---|
| 31758 | 3.012658 | 0.7.5 | 5.7.0 (5*79^2 + 7*79) | Yes | |
| 0 | 3.025316 | 0 | 0 (0) | No | |
| -50088 | 5.000000 | -2.2.8 | -8.2.2 (-(8*79^2 + 2*79 + 2)) | No | |
| -25044 | 5.000000 | -1.1.4 | -4.1.1 (-(4*79^2 + 79 + 1)) | No | |
| 56802 | 5.000000 | 1.8.9 | 9.8.1 (9*79^2 + 8*79 + 1) | Apparel & Accessories > Shoes > Flats | No |
These are the training products that have the "CASUAL-SHOES" tag (processing sequence 935). 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 |
|---|---|---|---|---|---|---|---|
| 11879 | Wallabees | 56802 | Apparel & Accessories > Shoes > Flats | none | 25044 | Apparel & Accessories > Clothing > Dresses | PATTERNED, SIZE-10, SIZE-7-5 |
| 11836 | Baldwin Penny Loafers | 31758 | BROWN | 0 | none | ||
| 11891 | Dayton Woven Penny Loafers | 31758 | BROWN | 0 | none | ||
| 11858 | Desert One Chelsea Boots | 0 | SUEDE | -31758 | DAVID-EDWARDS, FALL, SIZE-10, SIZE-7 | ||
| 11831 | Desert Boots | -25044 | SUEDE, 100-150 | -56802 | FALL, PATTERNED, SALE, SIZE-7 | ||
| 10415 | Colden Chukka Boots | -50088 | SUEDE, BROWN, 100-150 | -81846 | FALL, SIZE-10 |