Fold 0 - Understanding why coefficient -6966 was selected
Tag: RANGE HOOD - STAINLESS STEEL
Selected Coefficient: -6966
Taxonomy Path: -14.9.1
Taxonomy Name:
Products with this tag: 36
Unique residual values tried: 10
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 | 19.026118 | -14.9.1 | -1.9.14 (-(6241 + 9*79 + 14)) | Yes | |
| 158757833 | 19.026923 | 65.69.78.5.4 | 4.5.78.69.65 (4*79^4 + 5*79^3 + 78*79^2 + 69*79 + 65) | No | |
| -725 | 19.026925 | -14.9 | -9.14 (-(9*79 + 14)) | No | |
| 19265400 | 19.189873 | 65.71.5.39 | 39.5.71.65 (39*79^3 + 5*79^2 + 71*79 + 65) | No | |
| 0 | 21.038778 | 0 | 0 (0) | No | |
| 158758558 | 21.038788 | 0.0.0.6.4 | 4.6.0.0.0 (4*79^4 + 6*79^3) | No | |
| -6241 | 21.039096 | -0.0.1 | -1.0.0 (-(6241)) | No | |
| 19266125 | 21.151899 | 0.2.6.39 | 39.6.2.0 (39*79^3 + 6*79^2 + 2*79) | No | |
| -7691 | 33.000000 | -28.18.1 | -1.18.28 (-(6241 + 18*79 + 28)) | No | |
| 158759283 | 35.000000 | 14.9.0.6.4 | 4.6.0.9.14 (4*79^4 + 6*79^3 + 9*79 + 14) | No |
These are the training products that have the "RANGE HOOD - STAINLESS STEEL" tag (processing sequence 2934). 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 | 158759283 | TOP RATED, STAINLESS STEEL RANGE HOODS | 158766249 | ISLAND RANGE HOODS | ||
| 9959 | XtremeAir Special Ultra SU10-U 30" Stainless Steel Under Cabinet Range Hood | 158758558 | STAINLESS STEEL RANGE HOODS | 158765524 | Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fans | UNDER CABINET RANGE HOODS | |
| 9957 | XtremeAir Pro-X Series PX06-W 30" Stainless Steel Wall Mounted Range Hood | 158757833 | WALL MOUNTED RANGE HOODS, STAINLESS STEEL RANGE HOODS | 158764799 | none | ||
| 10024 | XtremeAir SP01-I 42" Stainless Steel Island Mount Range Hood | 158757833 | 42" RANGE HOODS, 40 INCH, STAINLESS STEEL RANGE HOODS | 158764799 | ISLAND RANGE HOODS | ||
| 10005 | Summit SEH6624C 24" Wide Stainless Steel Wall-Mounted Range Hood | 158757833 | WALL MOUNTED RANGE HOODS, STAINLESS STEEL RANGE HOODS | 158764799 | none | ||
| 9939 | KOBE Premium Mila CH77SQ6-XX 36" Stainless Steel 600 CFM Under Cabinet Range Hood | 19266125 | STAINLESS STEEL RANGE HOODS | 19273091 | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | UNDER CABINET RANGE HOODS | |
| 10025 | XtremeAir SP01-I 36" Stainless Steel Island Mount Range Hood | 19266125 | STAINLESS STEEL RANGE HOODS | 19273091 | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | ISLAND RANGE HOODS | |
| 9938 | KOBE Premium Mila CH77SQ6-XX 48" Stainless Steel 600 CFM Under Cabinet Range Hood | 19266125 | STAINLESS STEEL RANGE HOODS | 19273091 | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | UNDER CABINET RANGE HOODS | |
| 9788 | XtremeAir UL02-W Ultra Series 30" Stainless Steel Wall Mount Range Hood | 19265400 | WALL MOUNTED RANGE HOODS, STAINLESS STEEL RANGE HOODS | 19272366 | none | ||
| 9945 | ZLINE 8656S 36" Stainless Steel 900 CFM Designer Series Wall Mount Range Hood | 19265400 | WALL MOUNTED RANGE HOODS, STAINLESS STEEL RANGE HOODS | 19272366 | none | ||
| 9952 | XtremeAir Pro-X Series PX05-I 30" Stainless Steel Island Mount Range Hood | 0 | STAINLESS STEEL RANGE HOODS | 6966 | Home & Garden > Household Appliances > Climate Control Appliances | ISLAND RANGE HOODS | |
| 9950 | XtremeAir Pro-X Series PX06-I 36" Stainless Steel Island Range Hood | 0 | STAINLESS STEEL RANGE HOODS | 6966 | Home & Garden > Household Appliances > Climate Control Appliances | ISLAND RANGE HOODS | |
| 9797 | XtremeAir Ultra Series UL11 30" Stainless Steel Under Cabinet Range Hood | 0 | STAINLESS STEEL RANGE HOODS | 6966 | Home & Garden > Household Appliances > Climate Control Appliances | UNDER CABINET RANGE HOODS | |
| 9958 | XtremeAir Special Ultra SU11-U 30" Stainless Steel Under Cabinet Range Hood | 0 | STAINLESS STEEL RANGE HOODS | 6966 | Home & Garden > Household Appliances > Climate Control Appliances | UNDER CABINET RANGE HOODS | |
| 9953 | XtremeAir Pro-X Series PX15-W 42" Stainless Steel Wall Mounted Range Hood | 0 | WALL MOUNTED RANGE HOODS, 42" RANGE HOODS, STAINLESS STEEL RANGE HOODS | 6966 | Home & Garden > Household Appliances > Climate Control Appliances | none | |
| 9951 | XtremeAir Pro-X Series PX06-I 30" Stainless Steel Island Range Hood | 0 | STAINLESS STEEL RANGE HOODS | 6966 | Home & Garden > Household Appliances > Climate Control Appliances | ISLAND RANGE HOODS | |
| 9960 | Cosmo COS-668WRCS75 30" Stainless Steel Ducted Wall Mount Range Hood | -725 | WALL MOUNTED RANGE HOODS, STAINLESS STEEL RANGE HOODS | 6241 | none | ||
| 10004 | XtremeAir PX02-W 30" Stainless Steel Wall Mount Range Hood | -725 | WALL MOUNTED RANGE HOODS, STAINLESS STEEL RANGE HOODS | 6241 | none | ||
| 9785 | XtremeAir Ultra Series UL10-U 36" Stainless Steel Under Cabinet Range Hood | -6241 | STAINLESS STEEL RANGE HOODS | 725 | Home & Garden > Household Appliances | UNDER CABINET RANGE HOODS | |
| 9940 | KOBE Brillia ISX21 SQB-2 42" Stainless Steel 680 CFM Island Range Hood | -6241 | TOP RATED, 42" RANGE HOODS, 40 INCH, STAINLESS STEEL RANGE HOODS | 725 | Home & Garden > Household Appliances | ISLAND RANGE HOODS | |
| 9980 | KOBE Premium RA38 SQB-1 36" Stainless Steel 680 CFM Under Cabinet Range Hood | -6241 | STAFF PICKS, TOP RATED, STAINLESS STEEL RANGE HOODS | 725 | Home & Garden > Household Appliances | UNDER CABINET RANGE HOODS | |
| 10026 | XtremeAir SP01-I 30" Stainless Steel Island Mount Range Hood | -6241 | STAINLESS STEEL RANGE HOODS | 725 | Home & Garden > Household Appliances | ISLAND RANGE HOODS | |
| 10037 | XtremeAir PX10-U367 36" Stainless Steel 900 CFM Under Cabinet Range Hood | -6241 | STAINLESS STEEL RANGE HOODS | 725 | Home & Garden > Household Appliances | UNDER CABINET RANGE HOODS | |
| 9946 | Cosmo COS-63175 30" Stainless Steel Wall Mount Range Hood | -6966 | WALL MOUNTED RANGE HOODS, STAINLESS STEEL RANGE HOODS | 0 | none | ||
| 9937 | KOBE Premium CH77SQ6-WM-XX 36" Stainless Steel 600 CFM Wall Mount Range Hood | -6966 | STAFF PICKS, TOP RATED, WALL MOUNTED RANGE HOODS, STAINLESS STEEL RANGE HOODS | 0 | none | ||
| 9929 | KOBE Premium IN26 SQB-1200-1 36" Stainless Steel 1200 CFM Built-In/Insert Range Hood | -6966 | RANGE HOOD INSERTS, STAINLESS STEEL RANGE HOODS | 0 | none | ||
| 9928 | KOBE Premium IN26 SQB-1200-1 48" Stainless Steel 1200 CFM Built-In/Insert Range Hood | -6966 | RANGE HOOD INSERTS, STAINLESS STEEL RANGE HOODS | 0 | none | ||
| 9949 | XtremeAir Pro-X Series PX06-I 42" Stainless Steel Island Range Hood | -6966 | 42" RANGE HOODS, 40 INCH, STAINLESS STEEL RANGE HOODS | 0 | ISLAND RANGE HOODS | ||
| 9948 | Cosmo COS-668WRC75 30" Stainless Steel Wall Mount Range Hood with Glass Canopy | -6966 | WALL MOUNTED RANGE HOODS, STAINLESS STEEL RANGE HOODS | 0 | none | ||
| 9954 | XtremeAir Pro-X Series PX15-W 36" Stainless Steel Wall Mounted Range Hood | -6966 | WALL MOUNTED RANGE HOODS, STAINLESS STEEL RANGE HOODS | 0 | none | ||
| 9787 | XtremeAir UL02-W Ultra Series 36" Stainless Steel Wall Mount Range Hood | -6966 | WALL MOUNTED RANGE HOODS, STAINLESS STEEL RANGE HOODS | 0 | none | ||
| 10003 | XtremeAir PX02-W 36" Stainless Steel Wall Mount Range Hood | -6966 | WALL MOUNTED RANGE HOODS, STAINLESS STEEL RANGE HOODS | 0 | none | ||
| 9857 | ZLINE KB-42 42" Stainless Steel Convertible Vent Wall Mount Range Hood | -6966 | ZLINE SALE, STAFF PICKS, TOP RATED, WALL MOUNTED RANGE HOODS, 42" RANGE HOODS, STAINLESS STEEL RANGE HOODS | 0 | none | ||
| 9859 | ZLINE KB-30 30" Stainless Steel Convertible Vent Wall Mount Range Hood | -7691 | ZLINE SALE, STAFF PICKS, TOP RATED, WALL MOUNTED RANGE HOODS, STAINLESS STEEL RANGE HOODS | -725 | none | ||
| 9858 | ZLINE KB-36 36" Stainless Steel Convertible Vent Wall Mount Range Hood | -7691 | ZLINE SALE, STAFF PICKS, TOP RATED, WALL MOUNTED RANGE HOODS, STAINLESS STEEL RANGE HOODS | -725 | none | ||
| 9839 | ZLINE KB-48 48" Stainless Steel Convertible Vent Wall Mount Range Hood | -7691 | ZLINE SALE, STAFF PICKS, TOP RATED, WALL MOUNTED RANGE HOODS, STAINLESS STEEL RANGE HOODS | -725 | none |