Fold 3 - Understanding why coefficient 2478163 was selected
Tag: LIONS
Selected Coefficient: 2478163
Taxonomy Path: 12.6.2.5
Taxonomy Name: Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles
Products with this tag: 5
Unique residual values tried: 1
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? |
|---|---|---|---|---|---|
| 2478163 | 0.000000 | 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 | Yes |
These are the training products that have the "LIONS" tag (processing sequence 1920). 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 |
|---|---|---|---|---|---|---|---|
| 4753 | Frowning Lion Pull 7.1" | 2478163 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | none | 0 | none | |
| 4757 | Fu Lion Pulls 2.5" - Set of 2 | 2478163 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | none | 0 | none | |
| 4758 | Miniature Gold Lion Pulls 2.2" - Set of 2 | 2478163 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | none | 0 | none | |
| 4762 | Auspicious Lion Door Pull 6.7" | 2478163 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | none | 0 | none | |
| 4763 | Lion's Roar Pulls 2" - Set of 2 | 2478163 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | none | 0 | none |