Fold 4 - Understanding why coefficient 6966 was selected
Tag: WALL MOUNTED RANGE HOODS
Selected Coefficient: 6966
Taxonomy Path: 14.9.1
Taxonomy Name: Home & Garden > Household Appliances > Climate Control Appliances
Products with this tag: 9
Unique residual values tried: 5
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? |
|---|---|---|---|---|---|
| 6966 | 4.025318 | 14.9.1 | 1.9.14 (6241 + 9*79 + 14) | Home & Garden > Household Appliances > Climate Control Appliances | Yes |
| 158765524 | 4.025321 | 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 |
| 19273091 | 4.037975 | 14.11.7.39 | 39.7.11.14 (39*79^3 + 7*79^2 + 11*79 + 14) | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | No |
| 0 | 5.000002 | 0 | 0 (0) | No | |
| 158758558 | 5.000006 | 0.0.0.6.4 | 4.6.0.0.0 (4*79^4 + 6*79^3) | No |
These are the training products that have the "WALL MOUNTED RANGE HOODS" tag (processing sequence 2993). 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 |
|---|---|---|---|---|---|---|---|
| 9957 | XtremeAir Pro-X Series PX06-W 30" Stainless Steel Wall Mounted Range Hood | 158765524 | Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fans | none | 158758558 | none | |
| 10005 | Summit SEH6624C 24" Wide Stainless Steel Wall-Mounted Range Hood | 158758558 | 24 INCH | 158751592 | none | ||
| 9955 | XtremeAir Pro-X Series PX15-W 30" Stainless Steel Wall Mounted Range Hood | 19273091 | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | none | 19266125 | none | |
| 9788 | XtremeAir UL02-W Ultra Series 30" Stainless Steel Wall Mount Range Hood | 19273091 | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | none | 19266125 | none | |
| 9960 | Cosmo COS-668WRCS75 30" Stainless Steel Ducted Wall Mount Range Hood | 6966 | Home & Garden > Household Appliances > Climate Control Appliances | none | 0 | none | |
| 10004 | XtremeAir PX02-W 30" Stainless Steel Wall Mount Range Hood | 6966 | Home & Garden > Household Appliances > Climate Control Appliances | none | 0 | none | |
| 9837 | ZLINE BSKBN-36 36" Black Stainless Steel Convertible Vent Wall Mount Range Hood | 0 | DUCTLESS OPTION RANGE HOODS | -6966 | none | ||
| 9936 | KOBE Premium CH77SQ6-WM-XX 48" Stainless Steel 600 CFM Wall Mount Range Hood | 0 | 48 INCH | -6966 | none | ||
| 9953 | XtremeAir Pro-X Series PX15-W 42" Stainless Steel Wall Mounted Range Hood | 0 | 42" RANGE HOODS | -6966 | none |