Fold 1 - Understanding why coefficient 12968 was selected
Tag: ENTRY DOOR
Selected Coefficient: 12968
Taxonomy Path: 12.6.2
Taxonomy Name: Hardware > Hardware Accessories > Cabinet Hardware
Products with this tag: 2
Unique residual values tried: 2
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? |
|---|---|---|---|---|---|
| 12968 | 0.000160 | 12.6.2 | 2.6.12 (2*79^2 + 6*79 + 12) | Hardware > Hardware Accessories > Cabinet Hardware | Yes |
| 94101 | 0.000160 | 12.6.15 | 15.6.12 (15*79^2 + 6*79 + 12) | Hardware > Hardware Accessories > Hinges | No |
These are the training products that have the "ENTRY DOOR" tag (processing sequence 3265). 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 |
|---|---|---|---|---|---|---|---|
| 2705 | Black 100 x 75mm Ball Bearing Hinges (4 Pack) | 94101 | Hardware > Hardware Accessories > Hinges | none | 81133 | none | |
| 2715 | Stainless Steel 1800mm Entry Door Pull Handle Set - Back to Back | 12968 | Hardware > Hardware Accessories > Cabinet Hardware | none | 0 | DOUBLE DOORS |