Fold 1 - Understanding why coefficient 761 was selected
Tag: WALL MOUNTED RANGE HOODS
Selected Coefficient: 761
Taxonomy Path: 14.9
Taxonomy Name:
Products with this tag: 25
Unique residual values tried: 7
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? |
|---|---|---|---|---|---|
| 761 | 8.048628 | 14.9 | 9.14 (9*83 + 14) | Yes | |
| 7650 | 8.049646 | 14.9.1 | 1.9.14 (6889 + 9*83 + 14) | Home & Garden > Household Appliances > Climate Control Appliances | No |
| 193271656 | 8.049648 | 14.9.1.6.4 | 4.6.1.9.14 (4*83^4 + 6*83^3 + 6889 + 9*83 + 14) | Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fans | No |
| 22348843 | 8.156627 | 14.11.7.39 | 39.7.11.14 (39*83^3 + 7*83^2 + 11*83 + 14) | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | No |
| 0 | 18.000145 | 0 | 0 (0) | No | |
| 193270895 | 18.000871 | 0.0.1.6.4 | 4.6.1.0.0 (4*83^4 + 6*83^3 + 6889) | No | |
| -761 | 24.000000 | -14.9 | -9.14 (-(9*83 + 14)) | No |
These are the training products that have the "WALL MOUNTED RANGE HOODS" tag (processing sequence 3314). 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 |
|---|---|---|---|---|---|---|---|
| 10005 | Summit SEH6624C 24" Wide Stainless Steel Wall-Mounted Range Hood | 193271656 | Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fans | none | 193270895 | none | |
| 9936 | KOBE Premium CH77SQ6-WM-XX 48" Stainless Steel 600 CFM Wall Mount Range Hood | 193270895 | KOBE | 193270134 | TOP RATED | ||
| 9788 | XtremeAir UL02-W Ultra Series 30" Stainless Steel Wall Mount Range Hood | 22348843 | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | none | 22348082 | none | |
| 9955 | XtremeAir Pro-X Series PX15-W 30" Stainless Steel Wall Mounted Range Hood | 22348843 | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | none | 22348082 | none | |
| 9837 | ZLINE BSKBN-36 36" Black Stainless Steel Convertible Vent Wall Mount Range Hood | 22348843 | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | none | 22348082 | DUCTLESS OPTION RANGE HOODS | |
| 9945 | ZLINE 8656S 36" Stainless Steel 900 CFM Designer Series Wall Mount Range Hood | 22348843 | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | none | 22348082 | DUCTLESS OPTION RANGE HOODS | |
| 9960 | Cosmo COS-668WRCS75 30" Stainless Steel Ducted Wall Mount Range Hood | 7650 | Home & Garden > Household Appliances > Climate Control Appliances | none | 6889 | none | |
| 10004 | XtremeAir PX02-W 30" Stainless Steel Wall Mount Range Hood | 7650 | Home & Garden > Household Appliances > Climate Control Appliances | none | 6889 | none | |
| 10036 | XtremeAir SP01-W30 30" Stainless Steel 900 CFM Wall Mounted Range Hood | 761 | none | 0 | none | ||
| 9838 | ZLINE BSKBN-30 30" Black Stainless Steel Convertible Vent Wall Mount Range Hood | 761 | none | 0 | DUCTLESS OPTION RANGE HOODS | ||
| 9948 | Cosmo COS-668WRC75 30" Stainless Steel Wall Mount Range Hood with Glass Canopy | 761 | none | 0 | none | ||
| 9954 | XtremeAir Pro-X Series PX15-W 36" Stainless Steel Wall Mounted Range Hood | 761 | none | 0 | none | ||
| 9956 | XtremeAir Pro-X Series PX06-W 36" Stainless Steel Wall Mounted Range Hood | 761 | none | 0 | none | ||
| 10003 | XtremeAir PX02-W 36" Stainless Steel Wall Mount Range Hood | 761 | none | 0 | none | ||
| 10006 | Summit SEH1524 24" Wide Stainless Steel Wall-Mounted Range Hood | 761 | none | 0 | none | ||
| 10018 | Cosmo COS-668WRCS90 36" Stainless Steel Wall Mount Range Hood with Glass Canopy | 761 | none | 0 | none | ||
| 9787 | XtremeAir UL02-W Ultra Series 36" Stainless Steel Wall Mount Range Hood | 761 | none | 0 | none | ||
| 9946 | Cosmo COS-63175 30" Stainless Steel Wall Mount Range Hood | 761 | none | 0 | none | ||
| 9979 | KOBE Premium RA3836SQB 36" Stainless Steel 750 CFM Wall Mount Range Hood | 0 | KOBE | -761 | TOP RATED | ||
| 9859 | ZLINE KB-30 30" Stainless Steel Convertible Vent Wall Mount Range Hood | 0 | ZLINE SALE | -761 | TOP RATED | ||
| 9839 | ZLINE KB-48 48" Stainless Steel Convertible Vent Wall Mount Range Hood | 0 | ZLINE SALE | -761 | TOP RATED | ||
| 9937 | KOBE Premium CH77SQ6-WM-XX 36" Stainless Steel 600 CFM Wall Mount Range Hood | 0 | KOBE | -761 | TOP RATED | ||
| 9830 | ZLINE BSKBN-42 42" Black Stainless Steel Convertible Vent Wall Mount Range Hood | 0 | 42" RANGE HOODS | -761 | DUCTLESS OPTION RANGE HOODS | ||
| 9858 | ZLINE KB-36 36" Stainless Steel Convertible Vent Wall Mount Range Hood | 0 | ZLINE SALE | -761 | TOP RATED | ||
| 9857 | ZLINE KB-42 42" Stainless Steel Convertible Vent Wall Mount Range Hood | -761 | ZLINE SALE, 42" RANGE HOODS | -1522 | TOP RATED |