Fold 1 - Understanding why coefficient 55611 was selected
Tag: HALO
Selected Coefficient: 55611
Taxonomy Path: 1.6.8
Taxonomy Name:
Products with this tag: 5
Unique residual values tried: 4
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? |
|---|---|---|---|---|---|
| 55611 | 3.000000 | 1.6.8 | 8.6.1 (8*83^2 + 6*83 + 1) | Yes | |
| -69888 | 4.000000 | -2.12.10 | -10.12.2 (-(10*83^2 + 12*83 + 2)) | No | |
| 0 | 4.000000 | 0 | 0 (0) | No | |
| 104333 | 4.000000 | 2.12.15 | 15.12.2 (15*83^2 + 12*83 + 2) | No |
These are the training products that have the "HALO" tag (processing sequence 5661). 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 |
|---|---|---|---|---|---|---|---|
| 20772 | Halo Diamond Ring | 104333 | PRICES_$200-$300 | 48722 | none | ||
| 20637 | Jocelyn Halo Necklace | 55611 | none | 0 | none | ||
| 20713 | Melanie Diamond Halo Necklace | 55611 | none | 0 | none | ||
| 20949 | Diamond Halo Earrings | 0 | EARRING, STUD, PRICES_$200-$300 | -55611 | none | ||
| 20681 | Alexandra Enamel and Diamond Earrings | -69888 | STUD, EARRINGS, ENAMEL | -125499 | none |