Fold 3 - 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: 24
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? |
|---|---|---|---|---|---|
| 725 | 3.051114 | 14.9 | 9.14 (9*79 + 14) | Home & Garden > Household Appliances | Yes |
| 158765524 | 3.052878 | 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 |
| 6966 | 3.052880 | 14.9.1 | 1.9.14 (6241 + 9*79 + 14) | Home & Garden > Household Appliances > Climate Control Appliances | No |
| 19273091 | 3.215190 | 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 | 21.000160 | 0 | 0 (0) | No | |
| 6241 | 21.000320 | 0.0.1 | 1.0.0 (6241) | No |
These are the training products that have the "WALL MOUNTED RANGE HOODS" tag (processing sequence 2249). 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 |
|---|---|---|---|---|---|---|---|
| 9936 | KOBE Premium CH77SQ6-WM-XX 48" Stainless Steel 600 CFM Wall Mount Range Hood | 158765524 | Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fans | none | 158764799 | none | |
| 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 | none | |
| 9837 | ZLINE BSKBN-36 36" Black Stainless Steel Convertible Vent Wall Mount Range Hood | 19273091 | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | none | 19272366 | 36" RANGE HOODS, 36 INCH | |
| 9788 | XtremeAir UL02-W Ultra Series 30" Stainless Steel Wall Mount Range Hood | 19273091 | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | none | 19272366 | 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 | 19272366 | none | |
| 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 | 36" RANGE HOODS, 36 INCH | |
| 9960 | Cosmo COS-668WRCS75 30" Stainless Steel Ducted Wall Mount Range Hood | 6966 | Home & Garden > Household Appliances > Climate Control Appliances | none | 6241 | none | |
| 9953 | XtremeAir Pro-X Series PX15-W 42" Stainless Steel Wall Mounted Range Hood | 6241 | 42" RANGE HOODS | 5516 | none | ||
| 10036 | XtremeAir SP01-W30 30" Stainless Steel 900 CFM Wall Mounted Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | none | |
| 9829 | ZLINE BSKBN-48 48" Black Stainless Steel Convertible Vent Wall Mount Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | none | |
| 9838 | ZLINE BSKBN-30 30" Black Stainless Steel Convertible Vent Wall Mount Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | none | |
| 9839 | ZLINE KB-48 48" Stainless Steel Convertible Vent Wall Mount Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | none | |
| 9946 | Cosmo COS-63175 30" Stainless Steel Wall Mount Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | none | |
| 9948 | Cosmo COS-668WRC75 30" Stainless Steel Wall Mount Range Hood with Glass Canopy | 725 | Home & Garden > Household Appliances | none | 0 | none | |
| 9954 | XtremeAir Pro-X Series PX15-W 36" Stainless Steel Wall Mounted Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | 36" RANGE HOODS, 36 INCH | |
| 9956 | XtremeAir Pro-X Series PX06-W 36" Stainless Steel Wall Mounted Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | 36" RANGE HOODS, 36 INCH | |
| 10035 | XtremeAir SP01-W36 36" Stainless Steel 900 CFM Wall Mounted Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | 36" RANGE HOODS, 36 INCH | |
| 9787 | XtremeAir UL02-W Ultra Series 36" Stainless Steel Wall Mount Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | 36" RANGE HOODS, 36 INCH | |
| 9979 | KOBE Premium RA3836SQB 36" Stainless Steel 750 CFM Wall Mount Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | 36" RANGE HOODS, 36 INCH | |
| 10003 | XtremeAir PX02-W 36" Stainless Steel Wall Mount Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | 36" RANGE HOODS, 36 INCH | |
| 10006 | Summit SEH1524 24" Wide Stainless Steel Wall-Mounted Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | none | |
| 10018 | Cosmo COS-668WRCS90 36" Stainless Steel Wall Mount Range Hood with Glass Canopy | 725 | Home & Garden > Household Appliances | none | 0 | 36" RANGE HOODS, 36 INCH | |
| 9857 | ZLINE KB-42 42" Stainless Steel Convertible Vent Wall Mount Range Hood | 0 | 42" RANGE HOODS | -725 | none | ||
| 9830 | ZLINE BSKBN-42 42" Black Stainless Steel Convertible Vent Wall Mount Range Hood | 0 | 42" RANGE HOODS | -725 | none |