Fold 3 - Understanding why coefficient 75218 was selected
Tag: CABINET
Selected Coefficient: 75218
Taxonomy Path: 10.4.12
Taxonomy Name: Furniture > Cabinets & Storage > Storage Cabinets & Lockers
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? |
|---|---|---|---|---|---|
| 75218 | 0.000160 | 10.4.12 | 12.4.10 (12*79^2 + 4*79 + 10) | Furniture > Cabinets & Storage > Storage Cabinets & Lockers | Yes |
| 31531 | 0.000481 | 10.4.5 | 5.4.10 (5*79^2 + 4*79 + 10) | Furniture > Cabinets & Storage > Dressers | No |
These are the training products that have the "CABINET" tag (processing sequence 2050). 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 |
|---|---|---|---|---|---|---|---|
| 18820 | SC 404 | 75218 | Furniture > Cabinets & Storage > Storage Cabinets & Lockers | none | 0 | none | |
| 18821 | Display Stand 612H | 75218 | Furniture > Cabinets & Storage > Storage Cabinets & Lockers | none | 0 | none | |
| 18822 | Shoe Cabinet 909 | 75218 | Furniture > Cabinets & Storage > Storage Cabinets & Lockers | none | 0 | none | |
| 18814 | Drawers-H140 | 31531 | Furniture > Cabinets & Storage > Dressers | none | -43687 | none |