Fold 3 - Understanding why coefficient 158765524 was selected
Tag: 36" 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: 20
Unique residual values tried: 6
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 | 9.025961 | 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 | 9.025963 | 14.9.1 | 1.9.14 (6241 + 9*79 + 14) | Home & Garden > Household Appliances > Climate Control Appliances | No |
| 725 | 9.026118 | 14.9 | 9.14 (9*79 + 14) | Home & Garden > Household Appliances | No |
| 19273091 | 9.113924 | 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 | 11.025316 | 0 | 0 (0) | No | |
| 19272366 | 11.088608 | 0.2.7.39 | 39.7.2.0 (39*79^3 + 7*79^2 + 2*79) | No |
These are the training products that have the "36" RANGE HOODS" tag (processing sequence 2882). 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 |
|---|---|---|---|---|---|---|---|
| 9872 | XtremeAir SP10 36" Stainless Steel 900 CFM Under Cabinet Range Hood | 158765524 | Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fans | none | 0 | UNDER CABINET RANGE HOODS, 36 INCH | |
| 9789 | XtremeAir Ultra Series UL13 36" Stainless Steel Under Cabinet Range Hood | 158765524 | Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fans | none | 0 | UNDER CABINET RANGE HOODS, 36 INCH | |
| 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 | 36 INCH, ISLAND RANGE HOODS | |
| 9939 | KOBE Premium Mila CH77SQ6-XX 36" Stainless Steel 600 CFM Under Cabinet Range Hood | 19273091 | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | none | -139492433 | UNDER CABINET RANGE HOODS, 36 INCH | |
| 10025 | XtremeAir SP01-I 36" Stainless Steel Island Mount Range Hood | 19273091 | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | none | -139492433 | 36 INCH, ISLAND RANGE HOODS | |
| 9945 | ZLINE 8656S 36" Stainless Steel 900 CFM Designer Series Wall Mount Range Hood | 19272366 | WALL MOUNTED RANGE HOODS | -139493158 | 36 INCH | ||
| 9837 | ZLINE BSKBN-36 36" Black Stainless Steel Convertible Vent Wall Mount Range Hood | 19272366 | WALL MOUNTED RANGE HOODS | -139493158 | 36 INCH | ||
| 9796 | XtremeAir Ultra Series UL11 36" Stainless Steel Under Cabinet Range Hood | 6966 | Home & Garden > Household Appliances > Climate Control Appliances | none | -158758558 | UNDER CABINET RANGE HOODS, 36 INCH | |
| 9950 | XtremeAir Pro-X Series PX06-I 36" Stainless Steel Island Range Hood | 6966 | Home & Garden > Household Appliances > Climate Control Appliances | none | -158758558 | 36 INCH, ISLAND RANGE HOODS | |
| 9880 | XtremeAir PX12 36" Stainless Steel 900 CFM Under Cabinet Range Hood | 725 | Home & Garden > Household Appliances | none | -158764799 | UNDER CABINET RANGE HOODS, 36 INCH | |
| 9980 | KOBE Premium RA38 SQB-1 36" Stainless Steel 680 CFM Under Cabinet Range Hood | 725 | Home & Garden > Household Appliances | none | -158764799 | UNDER CABINET RANGE HOODS, 36 INCH | |
| 10001 | XtremeAir Ultra Series UL10 36" Stainless Steel 900 CFM Under Cabinet Range Hood | 725 | Home & Garden > Household Appliances | none | -158764799 | UNDER CABINET RANGE HOODS, 36 INCH | |
| 9882 | XtremeAir PX10 36" Stainless Steel 900 CFM Under Cabinet Range Hood | 725 | Home & Garden > Household Appliances | none | -158764799 | UNDER CABINET RANGE HOODS, 36 INCH | |
| 10035 | XtremeAir SP01-W36 36" Stainless Steel 900 CFM Wall Mounted Range Hood | 0 | WALL MOUNTED RANGE HOODS | -158765524 | 36 INCH | ||
| 9954 | XtremeAir Pro-X Series PX15-W 36" Stainless Steel Wall Mounted Range Hood | 0 | WALL MOUNTED RANGE HOODS | -158765524 | 36 INCH | ||
| 9956 | XtremeAir Pro-X Series PX06-W 36" Stainless Steel Wall Mounted Range Hood | 0 | WALL MOUNTED RANGE HOODS | -158765524 | 36 INCH | ||
| 9979 | KOBE Premium RA3836SQB 36" Stainless Steel 750 CFM Wall Mount Range Hood | 0 | WALL MOUNTED RANGE HOODS | -158765524 | 36 INCH | ||
| 10003 | XtremeAir PX02-W 36" Stainless Steel Wall Mount Range Hood | 0 | WALL MOUNTED RANGE HOODS | -158765524 | 36 INCH | ||
| 10018 | Cosmo COS-668WRCS90 36" Stainless Steel Wall Mount Range Hood with Glass Canopy | 0 | WALL MOUNTED RANGE HOODS | -158765524 | 36 INCH | ||
| 9787 | XtremeAir UL02-W Ultra Series 36" Stainless Steel Wall Mount Range Hood | 0 | WALL MOUNTED RANGE HOODS | -158765524 | 36 INCH |