Fold 0 - Understanding why coefficient -9392805 was selected
Tag: ALL TERRAIN TIRES COLLECTION
Selected Coefficient: -9392805
Taxonomy Path: -21.1.4.19
Taxonomy Name:
Products with this tag: 4
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? |
|---|---|---|---|---|---|
| -9392805 | 3.000000 | -21.1.4.19 | -19.4.1.21 (-(19*79^3 + 4*79^2 + 79 + 21)) | Yes | |
| 139087055 | 3.000000 | 50.1.8.45.3 | 3.45.8.1.50 (3*79^4 + 45*79^3 + 8*79^2 + 79 + 50) | No | |
| 156293363 | 3.000000 | 0.0.0.1.4 | 4.1.0.0.0 (4*79^4 + 493039) | No | |
| 226847406 | 3.000000 | 12.73.7.65.5 | 5.65.7.73.12 (5*79^4 + 65*79^3 + 7*79^2 + 73*79 + 12) | No |
These are the training products that have the "ALL TERRAIN TIRES COLLECTION" tag (processing sequence 4354). 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 |
|---|---|---|---|---|---|---|---|
| 17702 | Ultimate Refresh Kit | 226847406 | KTAT, FOR YOUR BOARD, GRIP TAPE COLLECTION, TRUCK PARTS COLLECTION, BELTS & DRIVE GEARS COLLECTION | 236240211 | none | ||
| 17919 | Precision Ceramic Bearings | 156293363 | TRUCK PARTS COLLECTION | 165686168 | none | ||
| 17748 | Refresh Kit | 139087055 | KTAT, TRUCK PARTS COLLECTION, BELTS & DRIVE GEARS COLLECTION | 148479860 | none | ||
| 17749 | Performance Pack | -9392805 | TRUCK PARTS COLLECTION | 0 | none |