Fold 0 - Understanding why coefficient -1450 was selected
Tag: 42" RANGE HOODS
Selected Coefficient: -1450
Taxonomy Path: -28.18
Taxonomy Name:
Products with this tag: 3
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? |
|---|---|---|---|---|---|
| -1450 | 2.000000 | -28.18 | -18.28 (-(18*79 + 28)) | Yes | |
| -725 | 2.000000 | -14.9 | -9.14 (-(9*79 + 14)) | No | |
| 158765524 | 2.000000 | 14.9.1.6.4 | 4.6.1.9.14 (4*79^4 + 6*79^3 + 6241 + 9*79 + 14) | Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fans | No |
These are the training products that have the "42" RANGE HOODS" tag (processing sequence 2470). 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 |
|---|---|---|---|---|---|---|---|
| 10024 | XtremeAir SP01-I 42" Stainless Steel Island Mount Range Hood | 158765524 | Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fans | none | 158766974 | ISLAND RANGE HOODS | |
| 9830 | ZLINE BSKBN-42 42" Black Stainless Steel Convertible Vent Wall Mount Range Hood | -725 | STAFF PICKS, WALL MOUNTED RANGE HOODS | 725 | Home & Garden > Household Appliances | DUCTLESS OPTION RANGE HOODS | |
| 9857 | ZLINE KB-42 42" Stainless Steel Convertible Vent Wall Mount Range Hood | -1450 | ZLINE SALE, STAFF PICKS, WALL MOUNTED RANGE HOODS | 0 | none |