Fold 2 - Understanding why coefficient 6966 was selected
Tag: 30" RANGE HOODS
Selected Coefficient: 6966
Taxonomy Path: 14.9.1
Taxonomy Name: Home & Garden > Household Appliances > Climate Control Appliances
Products with this tag: 22
Unique residual values tried: 8
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 | 8.013624 | 14.9.1 | 1.9.14 (6241 + 9*79 + 14) | Home & Garden > Household Appliances > Climate Control Appliances | Yes |
| 158765524 | 8.013630 | 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 |
| 725 | 8.013780 | 14.9 | 9.14 (9*79 + 14) | Home & Garden > Household Appliances | No |
| 19273091 | 8.164557 | 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 | 15.000481 | 0 | 0 (0) | No | |
| 6241 | 15.000643 | 0.0.1 | 1.0.0 (6241) | No | |
| 158764799 | 15.000645 | 0.0.1.6.4 | 4.6.1.0.0 (4*79^4 + 6*79^3 + 6241) | No | |
| -725 | 21.000000 | -14.9 | -9.14 (-(9*79 + 14)) | No |
These are the training products that have the "30" RANGE HOODS" tag (processing sequence 2930). 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 |
|---|---|---|---|---|---|---|---|
| 9873 | XtremeAir SP10 30" Stainless Steel 900 CFM Under Cabinet Range Hood | 158765524 | Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fans | none | 158758558 | UNDER CABINET RANGE HOODS | |
| 9959 | XtremeAir Special Ultra SU10-U 30" Stainless Steel Under Cabinet Range Hood | 158765524 | Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fans | none | 158758558 | UNDER CABINET RANGE HOODS | |
| 9957 | XtremeAir Pro-X Series PX06-W 30" Stainless Steel Wall Mounted Range Hood | 158764799 | WALL MOUNTED RANGE HOODS | 158757833 | none | ||
| 10002 | XtremeAir Ultra Series UL10 30" Stainless Steel 900 CFM Under Cabinet Range Hood | 19273091 | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | none | 19266125 | UNDER CABINET RANGE HOODS | |
| 9890 | XtremeAir PX10 30" Stainless Steel 900 CFM Under Cabinet Range Hood | 6966 | Home & Garden > Household Appliances > Climate Control Appliances | none | 0 | UNDER CABINET RANGE HOODS | |
| 9797 | XtremeAir Ultra Series UL11 30" Stainless Steel Under Cabinet Range Hood | 6966 | Home & Garden > Household Appliances > Climate Control Appliances | none | 0 | UNDER CABINET RANGE HOODS | |
| 9952 | XtremeAir Pro-X Series PX05-I 30" Stainless Steel Island Mount Range Hood | 6966 | Home & Garden > Household Appliances > Climate Control Appliances | none | 0 | none | |
| 9958 | XtremeAir Special Ultra SU11-U 30" Stainless Steel Under Cabinet Range Hood | 6966 | Home & Garden > Household Appliances > Climate Control Appliances | none | 0 | UNDER CABINET RANGE HOODS | |
| 9951 | XtremeAir Pro-X Series PX06-I 30" Stainless Steel Island Range Hood | 6966 | Home & Garden > Household Appliances > Climate Control Appliances | none | 0 | none | |
| 9960 | Cosmo COS-668WRCS75 30" Stainless Steel Ducted Wall Mount Range Hood | 6241 | WALL MOUNTED RANGE HOODS | -725 | none | ||
| 10004 | XtremeAir PX02-W 30" Stainless Steel Wall Mount Range Hood | 6241 | WALL MOUNTED RANGE HOODS | -725 | none | ||
| 10037 | XtremeAir PX10-U367 36" Stainless Steel 900 CFM Under Cabinet Range Hood | 725 | Home & Garden > Household Appliances | none | -6241 | UNDER CABINET RANGE HOODS | |
| 9790 | XtremeAir Ultra Series UL13 30" Stainless Steel Under Cabinet Range Hood | 725 | Home & Garden > Household Appliances | none | -6241 | UNDER CABINET RANGE HOODS | |
| 9867 | XtremeAir PX10-U307 30" Stainless Steel 900 CFM Under Cabinet Range Hood | 725 | Home & Garden > Household Appliances | none | -6241 | UNDER CABINET RANGE HOODS | |
| 9881 | XtremeAir PX12 30" Stainless Steel 900 CFM Under Cabinet Range Hood | 725 | Home & Garden > Household Appliances | none | -6241 | UNDER CABINET RANGE HOODS | |
| 10026 | XtremeAir SP01-I 30" Stainless Steel Island Mount Range Hood | 725 | Home & Garden > Household Appliances | none | -6241 | none | |
| 9786 | XtremeAir Ultra Series UL10-U 30" Stainless Steel Under Cabinet Range Hood | 725 | Home & Garden > Household Appliances | none | -6241 | UNDER CABINET RANGE HOODS | |
| 9838 | ZLINE BSKBN-30 30" Black Stainless Steel Convertible Vent Wall Mount Range Hood | 0 | STAFF PICKS, WALL MOUNTED RANGE HOODS, DUCTLESS OPTION RANGE HOODS | -6966 | none | ||
| 10036 | XtremeAir SP01-W30 30" Stainless Steel 900 CFM Wall Mounted Range Hood | 0 | WALL MOUNTED RANGE HOODS | -6966 | none | ||
| 9948 | Cosmo COS-668WRC75 30" Stainless Steel Wall Mount Range Hood with Glass Canopy | 0 | WALL MOUNTED RANGE HOODS | -6966 | none | ||
| 9946 | Cosmo COS-63175 30" Stainless Steel Wall Mount Range Hood | 0 | WALL MOUNTED RANGE HOODS | -6966 | none | ||
| 9859 | ZLINE KB-30 30" Stainless Steel Convertible Vent Wall Mount Range Hood | -725 | STAFF PICKS, WALL MOUNTED RANGE HOODS | -7691 | none |