Fold 0 - Understanding why coefficient 158765524 was selected
Tag: ISLAND RANGE HOODS
Selected Coefficient: 158765524
Taxonomy Path: 14.9.1.6.4
Taxonomy Name: Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fans
Products with this tag: 4
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? |
|---|---|---|---|---|---|
| 158765524 | 1.000002 | 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 | Yes |
| 6966 | 1.000004 | 14.9.1 | 1.9.14 (6241 + 9*79 + 14) | Home & Garden > Household Appliances > Climate Control Appliances | No |
| 0 | 3.000000 | 0 | 0 (0) | No |
These are the training products that have the "ISLAND RANGE HOODS" tag (processing sequence 2663). 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 |
|---|---|---|---|---|---|---|---|
| 9941 | KOBE Brillia ISX21 SQB-2 36" Stainless Steel 680 CFM Island Range Hood | 158765524 | Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fans | none | 0 | none | |
| 10024 | XtremeAir SP01-I 42" Stainless Steel Island Mount Range Hood | 158765524 | Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fans | none | 0 | none | |
| 9950 | XtremeAir Pro-X Series PX06-I 36" Stainless Steel Island Range Hood | 6966 | Home & Garden > Household Appliances > Climate Control Appliances | none | -158758558 | none | |
| 9952 | XtremeAir Pro-X Series PX05-I 30" Stainless Steel Island Mount Range Hood | 0 | 30 INCH | -158765524 | none |