Fold 3 - Understanding why coefficient -10891618 was selected
Tag: ALL TERRAIN TIRES COLLECTION
Selected Coefficient: -10891618
Taxonomy Path: -26.1.4.19
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? |
|---|---|---|---|---|---|
| -10891618 | 3.000000 | -26.1.4.19 | -19.4.1.26 (-(19*83^3 + 4*83^2 + 83 + 26)) | Yes | |
| -10891613 | 3.000000 | -21.1.4.19 | -19.4.1.21 (-(19*83^3 + 4*83^2 + 83 + 21)) | No | |
| -8569916 | 3.000000 | -0.0.82.14 | -14.82.0.0 (-(14*83^3 + 82*83^2)) | No | |
| -1825940 | 3.000000 | -23.4.16.3 | -3.16.4.23 (-(3*83^3 + 16*83^2 + 4*83 + 23)) | No |
These are the training products that have the "ALL TERRAIN TIRES COLLECTION" tag (processing sequence 6686). 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 |
|---|---|---|---|---|---|---|---|
| 17919 | Precision Ceramic Bearings | -1825940 | STREET WHEELS COLLECTION, TRUCK PARTS COLLECTION | 9065678 | none | ||
| 17808 | Metal Tire Valve Caps | -8569916 | TRUCK PARTS COLLECTION | 2321702 | none | ||
| 17749 | Performance Pack | -10891613 | STREET WHEELS COLLECTION, BUSHING & PIVOT CUPS COLLECTION, TRUCK PARTS COLLECTION | 5 | none | ||
| 17748 | Refresh Kit | -10891618 | KTAT, STREET WHEELS COLLECTION, BUSHING & PIVOT CUPS COLLECTION, TRUCK PARTS COLLECTION | 0 | none |