Fold 3 - Understanding why coefficient 4092150 was selected
Tag: SILK SHIRT
Selected Coefficient: 4092150
Taxonomy Path: 1.1.13.7
Taxonomy Name:
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? |
|---|---|---|---|---|---|
| 4092150 | 1.000002 | 1.1.13.7 | 7.13.1.1 (7*83^3 + 13*83^2 + 83 + 1) | Yes | |
| 661428 | 1.000003 | 1.1.13.1 | 1.13.1.1 (571787 + 13*83^2 + 83 + 1) | No | |
| 5263364 | 3.000000 | 2.2.17.9 | 9.17.2.2 (9*83^3 + 17*83^2 + 2*83 + 2) | No |
These are the training products that have the "SILK SHIRT" tag (processing sequence 4903). 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 |
|---|---|---|---|---|---|---|---|
| 867 | Damaris | 5263364 | CAMI NYC | 1171214 | none | ||
| 13284 | Duo Color Button down Denim Long Sleeves Shirt | 4092150 | none | 0 | none | ||
| 13445 | White print long sleeves shirt | 4092150 | none | 0 | none | ||
| 13249 | Asymetric puff sleeve stripe shirt | 661428 | none | -3430722 | none |