Fold 1 - Understanding why coefficient 76121 was selected
Tag: TIMBER
Selected Coefficient: 76121
Taxonomy Path: 10.4.11
Taxonomy Name: Furniture > Cabinets & Storage > Sideboards
Products with this tag: 2
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? |
|---|---|---|---|---|---|
| 76121 | 1.000000 | 10.4.11 | 11.4.10 (11*83^2 + 4*83 + 10) | Furniture > Cabinets & Storage > Sideboards | Yes |
| 7979865858 | 1.000000 | 12.78.0.12.2.2 | 2.2.12.0.78.12 (2*83^5 + 2*83^4 + 12*83^3 + 78*83 + 12) | No |
These are the training products that have the "TIMBER" tag (processing sequence 5097). 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 |
|---|---|---|---|---|---|---|---|
| 2013 | Oval Wooden Eco Max Hair Brush | 7979865858 | RUBBER | 7979789737 | PERTH, HAIR CARE | ||
| 19409 | Portsea Console (A) from India | 76121 | Furniture > Cabinets & Storage > Sideboards | none | 0 | none |