Fold 3 - Understanding why coefficient 10891618 was selected
Tag: TRUCK PARTS COLLECTION
Selected Coefficient: 10891618
Taxonomy Path: 26.1.4.19
Taxonomy Name:
Products with this tag: 8
Unique residual values tried: 7
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 | 5.000147 | 26.1.4.19 | 19.4.1.26 (19*83^3 + 4*83^2 + 83 + 26) | Yes | |
| 52632069 | 5.000147 | 26.1.4.9.1 | 1.9.4.1.26 (47458321 + 9*83^3 + 4*83^2 + 83 + 26) | No | |
| 2321702 | 5.000290 | 26.1.5.4 | 4.5.1.26 (4*83^3 + 5*83^2 + 83 + 26) | No | |
| 0 | 6.000000 | 0 | 0 (0) | No | |
| 9065678 | 7.000000 | 3.80.70.15 | 15.70.80.3 (15*83^3 + 70*83^2 + 80*83 + 3) | No | |
| 7399 | 7.000000 | 12.6.1 | 1.6.12 (6889 + 6*83 + 12) | No | |
| 5 | 7.000000 | 5 | 5 (5) | No |
These are the training products that have the "TRUCK PARTS COLLECTION" tag (processing sequence 6674). 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 |
|---|---|---|---|---|---|---|---|
| 17962 | Nose Guard | 52632069 | none | 41740451 | none | ||
| 17973 | Drive Gear Bearing (Single) | 10891618 | none | 0 | none | ||
| 17919 | Precision Ceramic Bearings | 9065678 | STREET WHEELS COLLECTION | -1825940 | ALL TERRAIN TIRES COLLECTION | ||
| 17808 | Metal Tire Valve Caps | 2321702 | none | -8569916 | ALL TERRAIN TIRES COLLECTION | ||
| 17946 | Bash Guard Kit | 7399 | none | -10884219 | none | ||
| 17749 | Performance Pack | 5 | STREET WHEELS COLLECTION, BUSHING & PIVOT CUPS COLLECTION | -10891613 | ALL TERRAIN TIRES COLLECTION | ||
| 17961 | Truck Arm | 0 | PLSPTDLR | -10891618 | none | ||
| 17748 | Refresh Kit | 0 | KTAT, STREET WHEELS COLLECTION, BUSHING & PIVOT CUPS COLLECTION | -10891618 | ALL TERRAIN TIRES COLLECTION |