Fold 0 - Understanding why coefficient 6966 was selected
Tag: STAINLESS STEEL RANGE HOODS
Selected Coefficient: 6966
Taxonomy Path: 14.9.1
Taxonomy Name: Home & Garden > Household Appliances > Climate Control Appliances
Products with this tag: 54
Unique residual values tried: 14
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 | 29.077239 | 14.9.1 | 1.9.14 (6241 + 9*79 + 14) | Home & Garden > Household Appliances > Climate Control Appliances | Yes |
| 158765524 | 29.077245 | 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 | 29.077712 | 14.9 | 9.14 (9*79 + 14) | Home & Garden > Household Appliances | No |
| 19273091 | 29.265823 | 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 |
| -19271641 | 29.291139 | -65.71.6.39 | -39.6.71.65 (-(39*79^3 + 6*79^2 + 71*79 + 65)) | No | |
| 0 | 31.038776 | 0 | 0 (0) | No | |
| 158764799 | 31.040382 | 0.0.1.6.4 | 4.6.1.0.0 (4*79^4 + 6*79^3 + 6241) | No | |
| 6241 | 31.040384 | 0.0.1 | 1.0.0 (6241) | No | |
| 19272366 | 31.265823 | 0.2.7.39 | 39.7.2.0 (39*79^3 + 7*79^2 + 2*79) | No | |
| -19272366 | 31.278481 | -0.2.7.39 | -39.7.2.0 (-(39*79^3 + 7*79^2 + 2*79)) | No | |
| -725 | 50.012658 | -14.9 | -9.14 (-(9*79 + 14)) | No | |
| -19273091 | 50.037975 | -14.11.7.39 | -39.7.11.14 (-(39*79^3 + 7*79^2 + 11*79 + 14)) | No | |
| 1450 | 52.000160 | 28.18 | 18.28 (18*79 + 28) | No | |
| 158766249 | 52.000160 | 28.18.1.6.4 | 4.6.1.18.28 (4*79^4 + 6*79^3 + 6241 + 18*79 + 28) | No |
These are the training products that have the "STAINLESS STEEL RANGE HOODS" tag (processing sequence 2924). 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 |
|---|---|---|---|---|---|---|---|
| 9941 | KOBE Brillia ISX21 SQB-2 36" Stainless Steel 680 CFM Island Range Hood | 158766249 | TOP RATED | 158759283 | RANGE HOOD - STAINLESS STEEL, ISLAND RANGE HOODS | ||
| 9789 | XtremeAir Ultra Series UL13 36" Stainless Steel 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 | RANGE HOOD - STAINLESS STEEL, UNDER CABINET RANGE HOODS | |
| 9872 | XtremeAir SP10 36" 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 | |
| 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 | |
| 9957 | XtremeAir Pro-X Series PX06-W 30" Stainless Steel Wall Mounted Range Hood | 158764799 | WALL MOUNTED RANGE HOODS | 158757833 | RANGE HOOD - STAINLESS STEEL | ||
| 10024 | XtremeAir SP01-I 42" Stainless Steel Island Mount Range Hood | 158764799 | 42" RANGE HOODS, 40 INCH | 158757833 | RANGE HOOD - STAINLESS STEEL, ISLAND RANGE HOODS | ||
| 10005 | Summit SEH6624C 24" Wide Stainless Steel Wall-Mounted Range Hood | 158764799 | WALL MOUNTED RANGE HOODS | 158757833 | RANGE HOOD - STAINLESS STEEL | ||
| 10025 | XtremeAir SP01-I 36" Stainless Steel Island Mount Range Hood | 19273091 | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | none | 19266125 | RANGE HOOD - STAINLESS STEEL, ISLAND RANGE HOODS | |
| 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 | |
| 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 | 19266125 | RANGE HOOD - STAINLESS STEEL, UNDER CABINET RANGE HOODS | |
| 9938 | KOBE Premium Mila CH77SQ6-XX 48" Stainless Steel 600 CFM Under Cabinet Range Hood | 19273091 | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | none | 19266125 | RANGE HOOD - STAINLESS STEEL, UNDER CABINET RANGE HOODS | |
| 9945 | ZLINE 8656S 36" Stainless Steel 900 CFM Designer Series Wall Mount Range Hood | 19272366 | WALL MOUNTED RANGE HOODS | 19265400 | RANGE HOOD - STAINLESS STEEL | ||
| 9788 | XtremeAir UL02-W Ultra Series 30" Stainless Steel Wall Mount Range Hood | 19272366 | WALL MOUNTED RANGE HOODS | 19265400 | RANGE HOOD - STAINLESS STEEL | ||
| 9958 | XtremeAir Special Ultra SU11-U 30" Stainless Steel Under Cabinet Range Hood | 6966 | Home & Garden > Household Appliances > Climate Control Appliances | none | 0 | RANGE HOOD - STAINLESS STEEL, UNDER CABINET RANGE HOODS | |
| 9953 | XtremeAir Pro-X Series PX15-W 42" Stainless Steel Wall Mounted Range Hood | 6966 | Home & Garden > Household Appliances > Climate Control Appliances | WALL MOUNTED RANGE HOODS, 42" RANGE HOODS | 0 | RANGE HOOD - STAINLESS STEEL | |
| 9952 | XtremeAir Pro-X Series PX05-I 30" Stainless Steel Island Mount Range Hood | 6966 | Home & Garden > Household Appliances > Climate Control Appliances | none | 0 | RANGE HOOD - STAINLESS STEEL, ISLAND RANGE HOODS | |
| 9797 | XtremeAir Ultra Series UL11 30" Stainless Steel Under Cabinet Range Hood | 6966 | Home & Garden > Household Appliances > Climate Control Appliances | none | 0 | RANGE HOOD - STAINLESS STEEL, 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 | |
| 9951 | XtremeAir Pro-X Series PX06-I 30" Stainless Steel Island Range Hood | 6966 | Home & Garden > Household Appliances > Climate Control Appliances | none | 0 | RANGE HOOD - STAINLESS STEEL, ISLAND RANGE HOODS | |
| 9950 | XtremeAir Pro-X Series PX06-I 36" Stainless Steel Island Range Hood | 6966 | Home & Garden > Household Appliances > Climate Control Appliances | none | 0 | RANGE HOOD - STAINLESS STEEL, ISLAND RANGE HOODS | |
| 10004 | XtremeAir PX02-W 30" Stainless Steel Wall Mount Range Hood | 6241 | WALL MOUNTED RANGE HOODS | -725 | RANGE HOOD - STAINLESS STEEL | ||
| 9960 | Cosmo COS-668WRCS75 30" Stainless Steel Ducted Wall Mount Range Hood | 6241 | WALL MOUNTED RANGE HOODS | -725 | RANGE HOOD - STAINLESS STEEL | ||
| 9810 | ZLINE 695-RD 34" Stainless Steel Remote Dual Blower Range Hood Insert | 1450 | STAFF PICKS, TOP RATED, INSERT RANGE HOODS | -5516 | none | ||
| 10037 | XtremeAir PX10-U367 36" Stainless Steel 900 CFM Under Cabinet Range Hood | 725 | Home & Garden > Household Appliances | none | -6241 | RANGE HOOD - STAINLESS STEEL, 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 | |
| 9880 | XtremeAir PX12 36" 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 | |
| 9940 | KOBE Brillia ISX21 SQB-2 42" Stainless Steel 680 CFM Island Range Hood | 725 | Home & Garden > Household Appliances | TOP RATED, 42" RANGE HOODS, 40 INCH | -6241 | RANGE HOOD - STAINLESS STEEL, ISLAND RANGE HOODS | |
| 9980 | KOBE Premium RA38 SQB-1 36" Stainless Steel 680 CFM Under Cabinet Range Hood | 725 | Home & Garden > Household Appliances | STAFF PICKS, TOP RATED | -6241 | RANGE HOOD - STAINLESS STEEL, UNDER CABINET RANGE HOODS | |
| 10026 | XtremeAir SP01-I 30" Stainless Steel Island Mount Range Hood | 725 | Home & Garden > Household Appliances | none | -6241 | RANGE HOOD - STAINLESS STEEL, ISLAND RANGE HOODS | |
| 9785 | XtremeAir Ultra Series UL10-U 36" Stainless Steel Under Cabinet Range Hood | 725 | Home & Garden > Household Appliances | none | -6241 | RANGE HOOD - STAINLESS STEEL, UNDER CABINET RANGE HOODS | |
| 9948 | Cosmo COS-668WRC75 30" Stainless Steel Wall Mount Range Hood with Glass Canopy | 0 | WALL MOUNTED RANGE HOODS | -6966 | RANGE HOOD - STAINLESS STEEL | ||
| 9929 | KOBE Premium IN26 SQB-1200-1 36" Stainless Steel 1200 CFM Built-In/Insert Range Hood | 0 | RANGE HOOD INSERTS | -6966 | RANGE HOOD - STAINLESS STEEL | ||
| 9928 | KOBE Premium IN26 SQB-1200-1 48" Stainless Steel 1200 CFM Built-In/Insert Range Hood | 0 | RANGE HOOD INSERTS | -6966 | RANGE HOOD - STAINLESS STEEL | ||
| 10003 | XtremeAir PX02-W 36" Stainless Steel Wall Mount Range Hood | 0 | WALL MOUNTED RANGE HOODS | -6966 | RANGE HOOD - STAINLESS STEEL | ||
| 10018 | Cosmo COS-668WRCS90 36" Stainless Steel Wall Mount Range Hood with Glass Canopy | 0 | WALL MOUNTED RANGE HOODS | -6966 | none | ||
| 9787 | XtremeAir UL02-W Ultra Series 36" Stainless Steel Wall Mount Range Hood | 0 | WALL MOUNTED RANGE HOODS | -6966 | RANGE HOOD - STAINLESS STEEL | ||
| 10036 | XtremeAir SP01-W30 30" Stainless Steel 900 CFM Wall Mounted Range Hood | 0 | WALL MOUNTED RANGE HOODS | -6966 | none | ||
| 9937 | KOBE Premium CH77SQ6-WM-XX 36" Stainless Steel 600 CFM Wall Mount Range Hood | 0 | STAFF PICKS, TOP RATED, WALL MOUNTED RANGE HOODS | -6966 | RANGE HOOD - STAINLESS STEEL | ||
| 9946 | Cosmo COS-63175 30" Stainless Steel Wall Mount Range Hood | 0 | WALL MOUNTED RANGE HOODS | -6966 | RANGE HOOD - STAINLESS STEEL | ||
| 9949 | XtremeAir Pro-X Series PX06-I 42" Stainless Steel Island Range Hood | 0 | 42" RANGE HOODS, 40 INCH | -6966 | RANGE HOOD - STAINLESS STEEL, ISLAND RANGE HOODS | ||
| 9954 | XtremeAir Pro-X Series PX15-W 36" Stainless Steel Wall Mounted Range Hood | 0 | WALL MOUNTED RANGE HOODS | -6966 | RANGE HOOD - STAINLESS STEEL | ||
| 9857 | ZLINE KB-42 42" Stainless Steel Convertible Vent Wall Mount Range Hood | 0 | ZLINE SALE, STAFF PICKS, TOP RATED, WALL MOUNTED RANGE HOODS, 42" RANGE HOODS | -6966 | RANGE HOOD - STAINLESS STEEL | ||
| 9812 | ZLINE 6695-304-34 34".Stainless Steel Outdoor Ducted Range Hood Insert | 0 | RANGE HOOD INSERTS, ZLINE SALE, INSERT RANGE HOODS | -6966 | none | ||
| 10035 | XtremeAir SP01-W36 36" Stainless Steel 900 CFM Wall Mounted Range Hood | 0 | WALL MOUNTED RANGE HOODS | -6966 | none | ||
| 9809 | ZLINE 695-RD 40" Stainless Steel Remote Dual Blower Range Hood Insert | 0 | STAFF PICKS, TOP RATED, 40 INCH, INSERT RANGE HOODS | -6966 | none | ||
| 9858 | ZLINE KB-36 36" Stainless Steel Convertible Vent Wall Mount Range Hood | -725 | ZLINE SALE, STAFF PICKS, TOP RATED, WALL MOUNTED RANGE HOODS | -7691 | RANGE HOOD - STAINLESS STEEL | ||
| 9859 | ZLINE KB-30 30" Stainless Steel Convertible Vent Wall Mount Range Hood | -725 | ZLINE SALE, STAFF PICKS, TOP RATED, WALL MOUNTED RANGE HOODS | -7691 | RANGE HOOD - STAINLESS STEEL | ||
| 9839 | ZLINE KB-48 48" Stainless Steel Convertible Vent Wall Mount Range Hood | -725 | ZLINE SALE, STAFF PICKS, TOP RATED, WALL MOUNTED RANGE HOODS | -7691 | RANGE HOOD - STAINLESS STEEL | ||
| 9808 | ZLINE 695 34" Stainless Steel Ducted Range Hood Insert | -19271641 | RANGE HOOD INSERTS, INSERT RANGE HOODS | -19278607 | none | ||
| 9798 | ZLINE 695 46" Stainless Steel Ducted Range Hood Insert | -19271641 | RANGE HOOD INSERTS, INSERT RANGE HOODS | -19278607 | none | ||
| 9811 | ZLINE 695-304-46 46".Stainless Steel Outdoor Ducted Range Hood Insert | -19272366 | RANGE HOOD INSERTS, ZLINE SALE, INSERT RANGE HOODS | -19279332 | none | ||
| 9799 | ZLINE 695 40" Stainless Steel Ducted Range Hood Insert | -19273091 | RANGE HOOD INSERTS, 40 INCH, INSERT RANGE HOODS | -19280057 | none |