Fold 3 - Understanding why coefficient 76121 was selected
Tag: CONSOLE
Selected Coefficient: 76121
Taxonomy Path: 10.4.11
Taxonomy Name: Furniture > Cabinets & Storage > Sideboards
Products with this tag: 5
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? |
|---|---|---|---|---|---|
| 76121 | 1.024096 | 10.4.11 | 11.4.10 (11*83^2 + 4*83 + 10) | Furniture > Cabinets & Storage > Sideboards | Yes |
| 43336 | 1.024242 | 10.24.6 | 6.24.10 (6*83^2 + 24*83 + 10) | No | |
| 1724252 | 1.024242 | 10.24.1.3 | 3.1.24.10 (3*83^3 + 6889 + 24*83 + 10) | No | |
| 1317538 | 4.000000 | 79.20.25.2 | 2.25.20.79 (2*83^3 + 25*83^2 + 20*83 + 79) | No |
These are the training products that have the "CONSOLE" tag (processing sequence 5627). 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 |
|---|---|---|---|---|---|---|---|
| 19235 | Frey Lexon Console | 1724252 | none | 1648131 | none | ||
| 19380 | Inlay Waterfall Console - Black | 1317538 | BONE INLAY | 1241417 | none | ||
| 19174 | Los Luna Sideboard - Pewter | 76121 | Furniture > Cabinets & Storage > Sideboards | none | 0 | none | |
| 20521 | Wabi Sabi Console | 76121 | Furniture > Cabinets & Storage > Sideboards | none | 0 | none | |
| 20535 | Amara Bedside | 43336 | none | -32785 | SIDEBOARD |