Fold 1 - Understanding why coefficient 1800075 was selected
Tag: LIONS
Selected Coefficient: 1800075
Taxonomy Path: 12.6.2.5
Taxonomy Name: Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles
Products with this tag: 4
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 | 0.014085 | 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 |
| 651 | 0.042254 | 12.9 | 9.12 (9*71 + 12) | Hardware > Locks & Keys | No |
These are the training products that have the "LIONS" tag (processing sequence 952). 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 |
|---|---|---|---|---|---|---|---|
| 4752 | Angry Lion Pull 7.5" | 1800075 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | none | 0 | none | |
| 4753 | Frowning Lion Pull 7.1" | 1800075 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | none | 0 | none | |
| 4763 | Lion's Roar Pulls 2" - Set of 2 | 1800075 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | none | 0 | none | |
| 4755 | Leaping Lion Door Knocker Pull 6" | 651 | Hardware > Locks & Keys | none | -1799424 | none |