Fold 0 - Understanding why coefficient 193271656 was selected
Tag: 36" RANGE HOODS
Selected Coefficient: 193271656
Taxonomy Path: 14.9.1.6.4
Taxonomy Name: Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fans
Products with this tag: 18
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? |
|---|---|---|---|---|---|
| 193271656 | 9.012487 | 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 | Yes |
| 7650 | 9.012489 | 14.9.1 | 1.9.14 (6889 + 9*83 + 14) | Home & Garden > Household Appliances > Climate Control Appliances | No |
| 761 | 9.012774 | 14.9 | 9.14 (9*83 + 14) | No | |
| 22348843 | 9.096386 | 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 | 13.000000 | 0 | 0 (0) | No | |
| -761 | 14.000000 | -14.9 | -9.14 (-(9*83 + 14)) | No |
These are the training products that have the "36" RANGE HOODS" tag (processing sequence 4224). 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 |
|---|---|---|---|---|---|---|---|
| 9789 | XtremeAir Ultra Series UL13 36" Stainless Steel Under Cabinet Range Hood | 193271656 | Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fans | none | 0 | none | |
| 9941 | KOBE Brillia ISX21 SQB-2 36" Stainless Steel 680 CFM Island Range Hood | 193271656 | Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fans | none | 0 | ISLAND RANGE HOODS | |
| 9872 | XtremeAir SP10 36" Stainless Steel 900 CFM Under Cabinet Range Hood | 193271656 | Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fans | none | 0 | none | |
| 9939 | KOBE Premium Mila CH77SQ6-XX 36" Stainless Steel 600 CFM Under Cabinet Range Hood | 22348843 | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | none | -170922813 | none | |
| 9796 | XtremeAir Ultra Series UL11 36" Stainless Steel Under Cabinet Range Hood | 7650 | Home & Garden > Household Appliances > Climate Control Appliances | none | -193264006 | none | |
| 9950 | XtremeAir Pro-X Series PX06-I 36" Stainless Steel Island Range Hood | 7650 | Home & Garden > Household Appliances > Climate Control Appliances | none | -193264006 | ISLAND RANGE HOODS | |
| 9785 | XtremeAir Ultra Series UL10-U 36" Stainless Steel Under Cabinet Range Hood | 761 | none | -193270895 | none | ||
| 9880 | XtremeAir PX12 36" Stainless Steel 900 CFM Under Cabinet Range Hood | 761 | none | -193270895 | none | ||
| 10001 | XtremeAir Ultra Series UL10 36" Stainless Steel 900 CFM Under Cabinet Range Hood | 761 | none | -193270895 | none | ||
| 9980 | KOBE Premium RA38 SQB-1 36" Stainless Steel 680 CFM Under Cabinet Range Hood | 0 | KOBE | -193271656 | none | ||
| 10035 | XtremeAir SP01-W36 36" Stainless Steel 900 CFM Wall Mounted Range Hood | 0 | WALL MOUNTED RANGE HOODS | -193271656 | none | ||
| 10003 | XtremeAir PX02-W 36" Stainless Steel Wall Mount Range Hood | 0 | WALL MOUNTED RANGE HOODS | -193271656 | none | ||
| 9954 | XtremeAir Pro-X Series PX15-W 36" Stainless Steel Wall Mounted Range Hood | 0 | WALL MOUNTED RANGE HOODS | -193271656 | none | ||
| 9956 | XtremeAir Pro-X Series PX06-W 36" Stainless Steel Wall Mounted Range Hood | 0 | WALL MOUNTED RANGE HOODS | -193271656 | none | ||
| 9937 | KOBE Premium CH77SQ6-WM-XX 36" Stainless Steel 600 CFM Wall Mount Range Hood | -761 | KOBE, WALL MOUNTED RANGE HOODS | -193272417 | none | ||
| 9945 | ZLINE 8656S 36" Stainless Steel 900 CFM Designer Series Wall Mount Range Hood | -761 | DUCTLESS OPTION RANGE HOODS, WALL MOUNTED RANGE HOODS | -193272417 | none | ||
| 9837 | ZLINE BSKBN-36 36" Black Stainless Steel Convertible Vent Wall Mount Range Hood | -761 | DUCTLESS OPTION RANGE HOODS, WALL MOUNTED RANGE HOODS | -193272417 | none | ||
| 9858 | ZLINE KB-36 36" Stainless Steel Convertible Vent Wall Mount Range Hood | -761 | ZLINE SALE, WALL MOUNTED RANGE HOODS | -193272417 | none |