Fold 4 - Understanding why coefficient 1800075 was selected
Tag: HANDLES
Selected Coefficient: 1800075
Taxonomy Path: 12.6.2.5
Taxonomy Name: Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles
Products with this tag: 12
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? |
|---|---|---|---|---|---|
| 1800075 | 0.028169 | 12.6.2.5 | 5.2.6.12 (5*71^3 + 2*71^2 + 6*71 + 12) | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | Yes |
| 1006 | 0.140845 | 12.14 | 14.12 (14*71 + 12) | Hardware > Tool Accessories | No |
These are the training products that have the "HANDLES" tag (processing sequence 824). 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 |
|---|---|---|---|---|---|---|---|
| 4859 | Antelope Pulls 4.4" - Set of 2 | 1800075 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | none | 0 | none | |
| 4851 | Bunchberry Pulls 3.2" - Set of 2 | 1800075 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | none | 0 | none | |
| 4858 | Double Plum Pulls 3-3/4" - Set of 2 | 1800075 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | none | 0 | none | |
| 4766 | Hollow Bone Pulls - Set of 2 | 1800075 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | none | 0 | none | |
| 4776 | Wealthy Handle Pulls - Set of 2 | 1800075 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | none | 0 | none | |
| 4777 | Oval Handle Pulls 4" - Set of 2 | 1800075 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | none | 0 | none | |
| 4778 | Golden Gear Handle Pulls 3" - Set of 2 | 1800075 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | none | 0 | none | |
| 4838 | Scattered Pearl Handle Pulls 4" - Set of 2 | 1800075 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | none | 0 | none | |
| 4849 | Fierce Snake Pulls 5.6" - Set of 2 | 1800075 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | none | 0 | none | |
| 4850 | Xiu Beast Pulls 5.5" - Set of 2 | 1800075 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | none | 0 | none | |
| 2480 | HANDLE/ Wood/ Screw Tip, each | 1006 | Hardware > Tool Accessories | none | -1799069 | none | |
| 2471 | HANDLE/ Mop/ Jaws Style, each | 1006 | Hardware > Tool Accessories | none | -1799069 | none |