Fold 3 - Understanding why coefficient 39352 was selected
Tag: CONSOLE
Selected Coefficient: 39352
Taxonomy Path: 10.24.6
Taxonomy Name: Furniture > Tables > Nightstands
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? |
|---|---|---|---|---|---|
| 39352 | 1.012818 | 10.24.6 | 6.24.10 (6*79^2 + 24*79 + 10) | Furniture > Tables > Nightstands | Yes |
| 1487264 | 1.012818 | 10.24.1.3 | 3.1.24.10 (3*79^3 + 6241 + 24*79 + 10) | Furniture > Tables > Accent Tables > Sofa Tables | No |
| 68977 | 1.025316 | 10.4.11 | 11.4.10 (11*79^2 + 4*79 + 10) | Furniture > Cabinets & Storage > Sideboards | No |
| 1118794 | 3.000000 | 75.20.21.2 | 2.21.20.75 (2*79^3 + 21*79^2 + 20*79 + 75) | No |
These are the training products that have the "CONSOLE" tag (processing sequence 3190). 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 | 1487264 | Furniture > Tables > Accent Tables > Sofa Tables | none | 1447912 | none | |
| 19380 | Inlay Waterfall Console - Black | 1118794 | BONE INLAY | 1079442 | none | ||
| 19174 | Los Luna Sideboard - Pewter | 68977 | Furniture > Cabinets & Storage > Sideboards | none | 29625 | none | |
| 20535 | Amara Bedside | 39352 | Furniture > Tables > Nightstands | none | 0 | none |