Fold 4 - Understanding why coefficient 723 was selected
Tag: SLIDING DOOR
Selected Coefficient: 723
Taxonomy Path: 12.9
Taxonomy Name: Hardware > Locks & Keys
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? |
|---|---|---|---|---|---|
| 723 | 1.012818 | 12.9 | 9.12 (9*79 + 12) | Hardware > Locks & Keys | Yes |
| 2490882 | 1.012818 | 12.9.4.5 | 5.4.9.12 (5*79^3 + 4*79^2 + 9*79 + 12) | Hardware > Locks & Keys > Locks & Latches > Latches | No |
| 2478163 | 1.025316 | 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 |
| -12968 | 3.000000 | -12.6.2 | -2.6.12 (-(2*79^2 + 6*79 + 12)) | No |
These are the training products that have the "SLIDING DOOR" tag (processing sequence 4386). 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 |
|---|---|---|---|---|---|---|---|
| 2711 | Brushed Brass Privacy Lock - Sliding Door - Slimline Series | 2490882 | Hardware > Locks & Keys > Locks & Latches > Latches | none | 2490159 | none | |
| 2710 | Brushed Brass Flush Pull Handle (180x60mm) | 2478163 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | none | 2477440 | none | |
| 2709 | Brushed Brass Flush Pull Handle - 170 x 170mm | 723 | Hardware > Locks & Keys | none | 0 | none | |
| 2717 | Copper Tinted - 1200mm Entry Door Pull Handles - Pair | -12968 | DOUBLE DOORS, GLASS DOOR | -13691 | none |