Fold 4 - Understanding why coefficient 166 was selected
Tag: KAWAI-DIGITAL
Selected Coefficient: 166
Taxonomy Path: 8.2
Taxonomy Name: Electronics > Audio
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? |
|---|---|---|---|---|---|
| 166 | 1.000000 | 8.2 | 2.8 (2*79 + 8) | Electronics > Audio | Yes |
| 119858566 | 3.000000 | 3.2.8.6.3 | 3.6.8.2.3 (3*79^4 + 6*79^3 + 8*79^2 + 2*79 + 3) | Arts & Entertainment > Hobbies & Creative Arts > Musical Instruments > Pianos > Grand Pianos | No |
These are the training products that have the "KAWAI-DIGITAL" tag (processing sequence 1846). 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 |
|---|---|---|---|---|---|---|---|
| 10943 | Kawai CP200 V2 Hybrid Digital Piano - Polished Mahogany | 119858566 | Arts & Entertainment > Hobbies & Creative Arts > Musical Instruments > Pianos > Grand Pianos | none | 119858400 | none | |
| 10855 | Kawai CN29 Digital Piano - Satin White | 166 | Electronics > Audio | none | 0 | none | |
| 10856 | Kawai CN29 Digital Piano - Rosewood | 166 | Electronics > Audio | none | 0 | none | |
| 10907 | Kawai CS10 Digital Piano | 166 | Electronics > Audio | none | 0 | none |