Fold 0 - Understanding why coefficient 20776 was selected
Tag: CAR
Selected Coefficient: 20776
Taxonomy Path: 26.1.3
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? |
|---|---|---|---|---|---|
| 20776 | 2.000145 | 26.1.3 | 3.1.26 (3*83^2 + 83 + 26) | Yes | |
| 4037063 | 2.000145 | 26.1.5.7 | 7.5.1.26 (7*83^3 + 5*83^2 + 83 + 26) | No | |
| 7058 | 3.000000 | 3.2.1 | 1.2.3 (6889 + 2*83 + 3) | No | |
| 5153733 | 3.000000 | 14.9.1.9 | 9.1.9.14 (9*83^3 + 6889 + 9*83 + 14) | Home & Garden > Household Appliances > Climate Control Appliances > Humidifiers | No |
These are the training products that have the "CAR" tag (processing sequence 6659). 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 |
|---|---|---|---|---|---|---|---|
| 16566 | USB Car Humidifier | 5153733 | Home & Garden > Household Appliances > Climate Control Appliances > Humidifiers | none | 5132957 | none | |
| 16698 | Car Steering Wheel Tray | 4037063 | none | 4016287 | none | ||
| 16697 | Car LED Strip Light - 4pcs 48 LED | 20776 | none | 0 | none | ||
| 27499 | 1965 Ford Mustang | 7058 | none | -13718 | none |