Fold 0 - Understanding why coefficient 428337437 was selected
Tag: LADIES JACKETS
Selected Coefficient: 428337437
Taxonomy Path: 1.1.10.2.9
Taxonomy Name:
Products with this tag: 9
Unique residual values tried: 6
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? |
|---|---|---|---|---|---|
| 428337437 | 0.000000 | 1.1.10.2.9 | 9.2.10.1.1 (9*83^4 + 2*83^3 + 10*83^2 + 83 + 1) | Yes | |
| 760545684 | 0.000000 | 1.1.10.2.16 | 16.2.10.1.1 (16*83^4 + 2*83^3 + 10*83^2 + 83 + 1) | No | |
| 96129190 | 0.000000 | 1.1.10.2.2 | 2.2.10.1.1 (2*83^4 + 2*83^3 + 10*83^2 + 83 + 1) | No | |
| 285962474 | 0.000000 | 1.1.10.2.6 | 6.2.10.1.1 (6*83^4 + 2*83^3 + 10*83^2 + 83 + 1) | No | |
| 475795758 | 0.000000 | 1.1.10.2.10 | 10.2.10.1.1 (10*83^4 + 2*83^3 + 10*83^2 + 83 + 1) | No | |
| 523254079 | 0.000000 | 1.1.10.2.11 | 11.2.10.1.1 (11*83^4 + 2*83^3 + 10*83^2 + 83 + 1) | No |
These are the training products that have the "LADIES JACKETS" tag (processing sequence 6030). 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 |
|---|---|---|---|---|---|---|---|
| 21746 | Barron - Ladies Canyon Jacket | 760545684 | none | 332208247 | none | ||
| 21763 | Barron - Mens Pegasus Jacket | 760545684 | none | 332208247 | none | ||
| 21734 | Barron - Ladies Pegasus Jacket | 523254079 | none | 94916642 | none | ||
| 21748 | Barron - Ladies Cooper Jacket | 475795758 | none | 47458321 | none | ||
| 21739 | Barron - Ladies Stratford Jacket | 428337437 | none | 0 | none | ||
| 21737 | Barron - Ladies Rochfort Jacket | 428337437 | none | 0 | none | ||
| 21747 | Barron - Ladies Colorado Jacket | 428337437 | none | 0 | none | ||
| 21712 | Barron - Ladies Nashville 3-in-1 Jacket | 285962474 | none | -142374963 | none | ||
| 21715 | Barron - Ladies Orlando Jacket | 96129190 | none | -332208247 | none |