Fold 1 - Understanding why coefficient 486 was selected
Tag: FRONT ENTRY DOOR
Selected Coefficient: 486
Taxonomy Path: 12.6
Taxonomy Name: Hardware > Hardware Accessories
Products with this tag: 8
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? |
|---|---|---|---|---|---|
| 486 | 0.013139 | 12.6 | 6.12 (6*79 + 12) | Hardware > Hardware Accessories | Yes |
| 12968 | 0.013301 | 12.6.2 | 2.6.12 (2*79^2 + 6*79 + 12) | Hardware > Hardware Accessories > Cabinet Hardware | No |
| 2478163 | 0.013303 | 12.6.2.5 | 5.2.6.12 (5*79^3 + 2*79^2 + 6*79 + 12) | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | No |
| 723 | 0.088608 | 12.9 | 9.12 (9*79 + 12) | Hardware > Locks & Keys | No |
These are the training products that have the "FRONT ENTRY DOOR" tag (processing sequence 2964). 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 |
|---|---|---|---|---|---|---|---|
| 2713 | Gunmetal Stainless Steel 600mm Entry Door Pull Handle Set | 2478163 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | none | 2477677 | none | |
| 2698 | Stainless Steel 400mm Door Pull Handles | 12968 | Hardware > Hardware Accessories > Cabinet Hardware | none | 12482 | GLASS DOOR, DOUBLE DOORS | |
| 2693 | Stainless Steel 1200mm Entry Door Pull Handles - Pair | 12968 | Hardware > Hardware Accessories > Cabinet Hardware | none | 12482 | GLASS DOOR, DOUBLE DOORS | |
| 2702 | ALLEGION DV004 Security Door Viewer 30mm - 2hr Fire rated | 723 | Hardware > Locks & Keys | none | 237 | none | |
| 2697 | Black 400mm Entry Door Pull Handles - Pair | 486 | Hardware > Hardware Accessories | none | 0 | SLIDING DOOR, GLASS DOOR | |
| 2694 | Stainless Steel 1800mm Entry Door Pull Handles - Pair | 486 | Hardware > Hardware Accessories | none | 0 | GLASS DOOR, DOUBLE DOORS | |
| 2714 | Stainless Steel 1200mm Entry Door Pull Handle Set | 486 | Hardware > Hardware Accessories | none | 0 | GLASS DOOR, DOUBLE DOORS | |
| 2717 | Copper Tinted - 1200mm Entry Door Pull Handles - Pair | 486 | Hardware > Hardware Accessories | none | 0 | SLIDING DOOR, GLASS DOOR, DOUBLE DOORS |