Fold 0 - Understanding why coefficient 6966 was selected
Tag: ISLAND RANGE HOODS
Selected Coefficient: 6966
Taxonomy Path: 14.9.1
Taxonomy Name: Home & Garden > Household Appliances > Climate Control Appliances
Products with this tag: 9
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? |
|---|---|---|---|---|---|
| 6966 | 3.012979 | 14.9.1 | 1.9.14 (6241 + 9*79 + 14) | Home & Garden > Household Appliances > Climate Control Appliances | Yes |
| 725 | 3.013139 | 14.9 | 9.14 (9*79 + 14) | Home & Garden > Household Appliances | No |
| 19273091 | 3.063291 | 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 |
| 158764799 | 7.000160 | 0.0.1.6.4 | 4.6.1.0.0 (4*79^4 + 6*79^3 + 6241) | No | |
| 0 | 7.000160 | 0 | 0 (0) | No | |
| 158766249 | 8.000000 | 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 "ISLAND RANGE HOODS" tag (processing sequence 3972). 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, STAINLESS STEEL RANGE HOODS, RANGE HOOD - STAINLESS STEEL | 158759283 | none | ||
| 10024 | XtremeAir SP01-I 42" Stainless Steel Island Mount Range Hood | 158764799 | 42" RANGE HOODS, 40 INCH, STAINLESS STEEL RANGE HOODS, RANGE HOOD - STAINLESS STEEL | 158757833 | none | ||
| 10025 | XtremeAir SP01-I 36" Stainless Steel Island Mount Range Hood | 19273091 | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | STAINLESS STEEL RANGE HOODS, RANGE HOOD - STAINLESS STEEL | 19266125 | none | |
| 9950 | XtremeAir Pro-X Series PX06-I 36" Stainless Steel Island Range Hood | 6966 | Home & Garden > Household Appliances > Climate Control Appliances | STAINLESS STEEL RANGE HOODS, RANGE HOOD - STAINLESS STEEL | 0 | none | |
| 9951 | XtremeAir Pro-X Series PX06-I 30" Stainless Steel Island Range Hood | 6966 | Home & Garden > Household Appliances > Climate Control Appliances | STAINLESS STEEL RANGE HOODS, RANGE HOOD - STAINLESS STEEL | 0 | none | |
| 9952 | XtremeAir Pro-X Series PX05-I 30" Stainless Steel Island Mount Range Hood | 6966 | Home & Garden > Household Appliances > Climate Control Appliances | STAINLESS STEEL RANGE HOODS, RANGE HOOD - STAINLESS STEEL | 0 | none | |
| 10026 | XtremeAir SP01-I 30" Stainless Steel Island Mount Range Hood | 725 | Home & Garden > Household Appliances | STAINLESS STEEL RANGE HOODS, RANGE HOOD - STAINLESS STEEL | -6241 | none | |
| 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, STAINLESS STEEL RANGE HOODS, RANGE HOOD - STAINLESS STEEL | -6241 | none | |
| 9949 | XtremeAir Pro-X Series PX06-I 42" Stainless Steel Island Range Hood | 0 | 42" RANGE HOODS, 40 INCH, STAINLESS STEEL RANGE HOODS, RANGE HOOD - STAINLESS STEEL | -6966 | none |