Fold 1 - Understanding why coefficient 1178518 was selected
Tag: TALISMAN
Selected Coefficient: 1178518
Taxonomy Path: 1.6.5.2
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? |
|---|---|---|---|---|---|
| 1178518 | 2.000002 | 1.6.5.2 | 2.5.6.1 (2*83^3 + 5*83^2 + 6*83 + 1) | Yes | |
| 606731 | 2.000003 | 1.6.5.1 | 1.5.6.1 (571787 + 5*83^2 + 6*83 + 1) | No | |
| 186 | 4.000000 | 20.2 | 2.20 (2*83 + 20) | No | |
| 1722419 | 4.000000 | 3.2.1.3 | 3.1.2.3 (3*83^3 + 6889 + 2*83 + 3) | No |
These are the training products that have the "TALISMAN" tag (processing sequence 5766). 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 |
|---|---|---|---|---|---|---|---|
| 30397 | Gold Paper Clip Connector | 1722419 | none | 543901 | none | ||
| 30391 | Gold I Connector | 1178518 | none | 0 | none | ||
| 30396 | Lock Connector | 1178518 | none | 0 | none | ||
| 30390 | Bloom Pendant | 606731 | none | -571787 | none | ||
| 30385 | Peace Pendant | 186 | none | -1178332 | none |