Fold 1 - Understanding why coefficient 213726 was selected
Tag: PIN
Selected Coefficient: 213726
Taxonomy Path: 1.2.31
Taxonomy Name:
Products with this tag: 2
Unique residual values tried: 2
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? |
|---|---|---|---|---|---|
| 213726 | 0.012048 | 1.2.31 | 31.2.1 (31*83^2 + 2*83 + 1) | Yes | |
| 1839447 | 0.012048 | 1.1.18.3 | 3.18.1.1 (3*83^3 + 18*83^2 + 83 + 1) | Apparel & Accessories > Clothing > Socks > Crew Socks | No |
These are the training products that have the "PIN" tag (processing sequence 5050). 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 |
|---|---|---|---|---|---|---|---|
| 4600 | Flagship Logo (WHT Socks) | 1839447 | Apparel & Accessories > Clothing > Socks > Crew Socks | none | 1625721 | none | |
| 30489 | DOGG LAPEL PIN | 213726 | none | 0 | none |