Fold 1 - Understanding why coefficient -6241 was selected
Tag: 36" RANGE HOODS
Selected Coefficient: -6241
Taxonomy Path: -0.0.1
Taxonomy Name:
Products with this tag: 18
Unique residual values tried: 11
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? |
|---|---|---|---|---|---|
| -6241 | 9.063612 | -0.0.1 | -1.0.0 (-(6241)) | Yes | |
| 0 | 9.063612 | 0 | 0 (0) | No | |
| 19266125 | 9.063612 | 0.2.6.39 | 39.6.2.0 (39*79^3 + 6*79^2 + 2*79) | No | |
| 19272366 | 9.063614 | 0.2.7.39 | 39.7.2.0 (39*79^3 + 7*79^2 + 2*79) | No | |
| 178030924 | 9.063614 | 0.2.7.45.4 | 4.45.7.2.0 (4*79^4 + 45*79^3 + 7*79^2 + 2*79) | No | |
| 38538491 | 9.101266 | 0.4.13.78 | 78.13.4.0 (78*79^3 + 13*79^2 + 4*79) | No | |
| -6966 | 14.000000 | -14.9.1 | -1.9.14 (-(6241 + 9*79 + 14)) | No | |
| 158765524 | 15.000160 | 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 | 15.000320 | 14.9 | 9.14 (9*79 + 14) | Home & Garden > Household Appliances | No |
| -8416 | 17.000000 | -42.27.1 | -1.27.42 (-(6241 + 27*79 + 42)) | No | |
| -7691 | 17.000000 | -28.18.1 | -1.18.28 (-(6241 + 18*79 + 28)) | No |
These are the training products that have the "36" RANGE HOODS" tag (processing sequence 2867). 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 | 178030924 | TOP RATED, RANGE HOOD - STAINLESS STEEL | 178037165 | none | ||
| 9872 | XtremeAir SP10 36" Stainless Steel 900 CFM Under Cabinet Range Hood | 158765524 | Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fans | none | 158771765 | none | |
| 9789 | XtremeAir Ultra Series UL13 36" Stainless Steel Under Cabinet Range Hood | 158765524 | Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fans | none | 158771765 | none | |
| 9945 | ZLINE 8656S 36" Stainless Steel 900 CFM Designer Series Wall Mount Range Hood | 38538491 | DUCTLESS OPTION RANGE HOODS, WALL MOUNTED RANGE HOODS, RANGE HOOD - STAINLESS STEEL | 38544732 | none | ||
| 9837 | ZLINE BSKBN-36 36" Black Stainless Steel Convertible Vent Wall Mount Range Hood | 19272366 | STAFF PICKS, DUCTLESS OPTION RANGE HOODS, WALL MOUNTED RANGE HOODS | 19278607 | none | ||
| 10025 | XtremeAir SP01-I 36" Stainless Steel Island Mount Range Hood | 19266125 | RANGE HOOD - STAINLESS STEEL | 19272366 | none | ||
| 9939 | KOBE Premium Mila CH77SQ6-XX 36" Stainless Steel 600 CFM Under Cabinet Range Hood | 19266125 | RANGE HOOD - STAINLESS STEEL | 19272366 | none | ||
| 10001 | XtremeAir Ultra Series UL10 36" Stainless Steel 900 CFM Under Cabinet Range Hood | 725 | Home & Garden > Household Appliances | none | 6966 | Home & Garden > Household Appliances > Climate Control Appliances | none |
| 9796 | XtremeAir Ultra Series UL11 36" Stainless Steel Under Cabinet Range Hood | 0 | RANGE HOOD - STAINLESS STEEL | 6241 | none | ||
| 9950 | XtremeAir Pro-X Series PX06-I 36" Stainless Steel Island Range Hood | 0 | RANGE HOOD - STAINLESS STEEL | 6241 | none | ||
| 9785 | XtremeAir Ultra Series UL10-U 36" Stainless Steel Under Cabinet Range Hood | -6241 | RANGE HOOD - STAINLESS STEEL | 0 | none | ||
| 9929 | KOBE Premium IN26 SQB-1200-1 36" Stainless Steel 1200 CFM Built-In/Insert Range Hood | -6241 | RANGE HOOD - STAINLESS STEEL | 0 | none | ||
| 9954 | XtremeAir Pro-X Series PX15-W 36" Stainless Steel Wall Mounted Range Hood | -6966 | WALL MOUNTED RANGE HOODS, RANGE HOOD - STAINLESS STEEL | -725 | none | ||
| 9956 | XtremeAir Pro-X Series PX06-W 36" Stainless Steel Wall Mounted Range Hood | -6966 | WALL MOUNTED RANGE HOODS, RANGE HOOD - STAINLESS STEEL | -725 | none | ||
| 9980 | KOBE Premium RA38 SQB-1 36" Stainless Steel 680 CFM Under Cabinet Range Hood | -6966 | STAFF PICKS, TOP RATED, RANGE HOOD - STAINLESS STEEL | -725 | none | ||
| 10003 | XtremeAir PX02-W 36" Stainless Steel Wall Mount Range Hood | -6966 | WALL MOUNTED RANGE HOODS, RANGE HOOD - STAINLESS STEEL | -725 | none | ||
| 9937 | KOBE Premium CH77SQ6-WM-XX 36" Stainless Steel 600 CFM Wall Mount Range Hood | -7691 | STAFF PICKS, TOP RATED, WALL MOUNTED RANGE HOODS, RANGE HOOD - STAINLESS STEEL | -1450 | none | ||
| 9858 | ZLINE KB-36 36" Stainless Steel Convertible Vent Wall Mount Range Hood | -8416 | ZLINE SALE, STAFF PICKS, TOP RATED, WALL MOUNTED RANGE HOODS, RANGE HOOD - STAINLESS STEEL | -2175 | none |