Fold 0 - Understanding why coefficient 725 was selected
Tag: WALL MOUNTED RANGE HOODS
Selected Coefficient: 725
Taxonomy Path: 14.9
Taxonomy Name: Home & Garden > Household Appliances
Products with this tag: 23
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? |
|---|---|---|---|---|---|
| 725 | 7.026118 | 14.9 | 9.14 (9*79 + 14) | Home & Garden > Household Appliances | Yes |
| 6966 | 7.026763 | 14.9.1 | 1.9.14 (6241 + 9*79 + 14) | Home & Garden > Household Appliances > Climate Control Appliances | No |
| 158765524 | 7.026765 | 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 | 7.177215 | 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 | 16.000000 | 0 | 0 (0) | No |
These are the training products that have the "WALL MOUNTED RANGE HOODS" tag (processing sequence 2239). 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 | 158764799 | STAINLESS STEEL RANGE HOODS, RANGE HOOD - STAINLESS STEEL | |
| 10005 | Summit SEH6624C 24" Wide Stainless Steel Wall-Mounted Range Hood | 158765524 | Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fans | none | 158764799 | STAINLESS STEEL RANGE HOODS, RANGE HOOD - STAINLESS STEEL | |
| 9788 | XtremeAir UL02-W Ultra Series 30" Stainless Steel Wall Mount Range Hood | 19273091 | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | none | 19272366 | STAINLESS STEEL RANGE HOODS, RANGE HOOD - STAINLESS STEEL | |
| 9945 | ZLINE 8656S 36" Stainless Steel 900 CFM Designer Series Wall Mount Range Hood | 19273091 | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | none | 19272366 | STAINLESS STEEL RANGE HOODS, RANGE HOOD - STAINLESS STEEL | |
| 10004 | XtremeAir PX02-W 30" Stainless Steel Wall Mount Range Hood | 6966 | Home & Garden > Household Appliances > Climate Control Appliances | none | 6241 | STAINLESS STEEL RANGE HOODS, RANGE HOOD - STAINLESS STEEL | |
| 9960 | Cosmo COS-668WRCS75 30" Stainless Steel Ducted Wall Mount Range Hood | 6966 | Home & Garden > Household Appliances > Climate Control Appliances | none | 6241 | STAINLESS STEEL RANGE HOODS, RANGE HOOD - STAINLESS STEEL | |
| 9953 | XtremeAir Pro-X Series PX15-W 42" Stainless Steel Wall Mounted Range Hood | 6966 | Home & Garden > Household Appliances > Climate Control Appliances | none | 6241 | 42" RANGE HOODS, STAINLESS STEEL RANGE HOODS, RANGE HOOD - STAINLESS STEEL | |
| 10036 | XtremeAir SP01-W30 30" Stainless Steel 900 CFM Wall Mounted Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | STAINLESS STEEL RANGE HOODS | |
| 9946 | Cosmo COS-63175 30" Stainless Steel Wall Mount Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | STAINLESS STEEL RANGE HOODS, RANGE HOOD - STAINLESS STEEL | |
| 9948 | Cosmo COS-668WRC75 30" Stainless Steel Wall Mount Range Hood with Glass Canopy | 725 | Home & Garden > Household Appliances | none | 0 | STAINLESS STEEL RANGE HOODS, RANGE HOOD - STAINLESS STEEL | |
| 9954 | XtremeAir Pro-X Series PX15-W 36" Stainless Steel Wall Mounted Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | STAINLESS STEEL RANGE HOODS, RANGE HOOD - STAINLESS STEEL | |
| 10003 | XtremeAir PX02-W 36" Stainless Steel Wall Mount Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | STAINLESS STEEL RANGE HOODS, RANGE HOOD - STAINLESS STEEL | |
| 10018 | Cosmo COS-668WRCS90 36" Stainless Steel Wall Mount Range Hood with Glass Canopy | 725 | Home & Garden > Household Appliances | none | 0 | STAINLESS STEEL RANGE HOODS | |
| 10035 | XtremeAir SP01-W36 36" Stainless Steel 900 CFM Wall Mounted Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | STAINLESS STEEL RANGE HOODS | |
| 9787 | XtremeAir UL02-W Ultra Series 36" Stainless Steel Wall Mount Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | STAINLESS STEEL RANGE HOODS, RANGE HOOD - STAINLESS STEEL | |
| 9937 | KOBE Premium CH77SQ6-WM-XX 36" Stainless Steel 600 CFM Wall Mount Range Hood | 725 | Home & Garden > Household Appliances | STAFF PICKS, TOP RATED | 0 | STAINLESS STEEL RANGE HOODS, RANGE HOOD - STAINLESS STEEL | |
| 9859 | ZLINE KB-30 30" Stainless Steel Convertible Vent Wall Mount Range Hood | 0 | ZLINE SALE, STAFF PICKS, TOP RATED | -725 | STAINLESS STEEL RANGE HOODS, RANGE HOOD - STAINLESS STEEL | ||
| 9839 | ZLINE KB-48 48" Stainless Steel Convertible Vent Wall Mount Range Hood | 0 | ZLINE SALE, STAFF PICKS, TOP RATED | -725 | STAINLESS STEEL RANGE HOODS, RANGE HOOD - STAINLESS STEEL | ||
| 9858 | ZLINE KB-36 36" Stainless Steel Convertible Vent Wall Mount Range Hood | 0 | ZLINE SALE, STAFF PICKS, TOP RATED | -725 | STAINLESS STEEL RANGE HOODS, RANGE HOOD - STAINLESS STEEL | ||
| 9838 | ZLINE BSKBN-30 30" Black Stainless Steel Convertible Vent Wall Mount Range Hood | 0 | STAFF PICKS | -725 | none | ||
| 9829 | ZLINE BSKBN-48 48" Black Stainless Steel Convertible Vent Wall Mount Range Hood | 0 | STAFF PICKS | -725 | none | ||
| 9857 | ZLINE KB-42 42" Stainless Steel Convertible Vent Wall Mount Range Hood | 0 | ZLINE SALE, STAFF PICKS, TOP RATED | -725 | 42" RANGE HOODS, STAINLESS STEEL RANGE HOODS, RANGE HOOD - STAINLESS STEEL | ||
| 9830 | ZLINE BSKBN-42 42" Black Stainless Steel Convertible Vent Wall Mount Range Hood | 0 | STAFF PICKS | -725 | 42" RANGE HOODS |