Fold 3 - Understanding why coefficient 31531 was selected
Tag: SIDE TABLES
Selected Coefficient: 31531
Taxonomy Path: 10.4.5
Taxonomy Name: Furniture > Cabinets & Storage > Dressers
Products with this tag: 6
Unique residual values tried: 3
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? |
|---|---|---|---|---|---|
| 31531 | 1.000320 | 10.4.5 | 5.4.10 (5*79^2 + 4*79 + 10) | Furniture > Cabinets & Storage > Dressers | Yes |
| 68977 | 1.000481 | 10.4.11 | 11.4.10 (11*79^2 + 4*79 + 10) | Furniture > Cabinets & Storage > Sideboards | No |
| -4441854 | 5.000000 | -0.57.0.9 | -9.0.57.0 (-(9*79^3 + 57*79)) | No |
These are the training products that have the "SIDE TABLES" tag (processing sequence 2964). 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 |
|---|---|---|---|---|---|---|---|
| 14584 | Up and Down Small Open Sideboard 120cm - FSC Teak | 68977 | Furniture > Cabinets & Storage > Sideboards | none | 37446 | none | |
| 14585 | Up and Down Small Open Sideboard 120cm - White Oak | 68977 | Furniture > Cabinets & Storage > Sideboards | none | 37446 | none | |
| 13009 | Vintage Chest 168cm - White Oak | 31531 | Furniture > Cabinets & Storage > Dressers | none | 0 | none | |
| 13018 | Vintage Tallboy 70 cm - Oak /Teak | 31531 | Furniture > Cabinets & Storage > Dressers | none | 0 | none | |
| 14589 | Vintage Chest 120cm - White Oak | 31531 | Furniture > Cabinets & Storage > Dressers | none | 0 | none | |
| 14594 | Vintage Console 1 Shelf - 120cm | -4441854 | COLOUR:BLACK | -4473385 | none |