Fold 3 - Understanding why coefficient 165503 was selected
Tag: LAPEL PINS
Selected Coefficient: 165503
Taxonomy Path: 1.2.24
Taxonomy Name:
Products with this tag: 7
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? |
|---|---|---|---|---|---|
| 165503 | 2.000000 | 1.2.24 | 24.2.1 (24*83^2 + 2*83 + 1) | Yes | |
| -151556 | 6.000000 | -81.82.21 | -21.82.81 (-(21*83^2 + 82*83 + 81)) | No | |
| 13947 | 6.000000 | 3.2.2 | 2.2.3 (2*83^2 + 2*83 + 3) | No |
These are the training products that have the "LAPEL PINS" tag (processing sequence 3258). 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 |
|---|---|---|---|---|---|---|---|
| 30493 | COLDWORLD LAPEL PIN | 165503 | none | 0 | HIP HOP | ||
| 30389 | THE DUNK LAPEL PIN | 165503 | none | 0 | none | ||
| 30494 | GRADUATION LAPEL PIN | 165503 | none | 0 | HIP HOP | ||
| 10050 | Alchimie Forever Lab Coat Pin (Wholesale) | 165503 | none | 0 | none | ||
| 30488 | FRIDAY LAPEL PIN | 165503 | none | 0 | none | ||
| 30424 | SWEET WOODS LAPEL PIN | 13947 | none | -151556 | none | ||
| 30394 | ODB LAPEL PIN | -151556 | RAP PIN | -317059 | none |