Fold 0 - Understanding why coefficient 7650 was selected
Tag: 30" RANGE HOODS
Selected Coefficient: 7650
Taxonomy Path: 14.9.1
Taxonomy Name: Home & Garden > Household Appliances > Climate Control Appliances
Products with this tag: 19
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? |
|---|---|---|---|---|---|
| 7650 | 8.012634 | 14.9.1 | 1.9.14 (6889 + 9*83 + 14) | Home & Garden > Household Appliances > Climate Control Appliances | Yes |
| 193271656 | 8.012634 | 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 | No |
| 761 | 8.012921 | 14.9 | 9.14 (9*83 + 14) | No | |
| 193264767 | 8.012924 | 14.9.0.6.4 | 4.6.0.9.14 (4*83^4 + 6*83^3 + 9*83 + 14) | No | |
| 22348843 | 8.120482 | 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 | 12.024387 | 0 | 0 (0) | No | |
| 6889 | 12.024534 | 0.0.1 | 1.0.0 (6889) | No | |
| 193270895 | 12.024534 | 0.0.1.6.4 | 4.6.1.0.0 (4*83^4 + 6*83^3 + 6889) | No | |
| 22348082 | 12.060241 | 0.2.7.39 | 39.7.2.0 (39*83^3 + 7*83^2 + 2*83) | No | |
| -761 | 18.000000 | -14.9 | -9.14 (-(9*83 + 14)) | No |
These are the training products that have the "30" RANGE HOODS" tag (processing sequence 5421). 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 |
|---|---|---|---|---|---|---|---|
| 9951 | XtremeAir Pro-X Series PX06-I 30" Stainless Steel Island Range Hood | 193271656 | Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fans | ISLAND RANGE HOODS | 193264006 | none | |
| 9952 | XtremeAir Pro-X Series PX05-I 30" Stainless Steel Island Mount Range Hood | 193271656 | Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fans | ISLAND RANGE HOODS | 193264006 | none | |
| 9873 | XtremeAir SP10 30" Stainless Steel 900 CFM Under Cabinet Range Hood | 193271656 | Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fans | none | 193264006 | none | |
| 9957 | XtremeAir Pro-X Series PX06-W 30" Stainless Steel Wall Mounted Range Hood | 193270895 | WALL MOUNTED RANGE HOODS | 193263245 | none | ||
| 10026 | XtremeAir SP01-I 30" Stainless Steel Island Mount Range Hood | 193264767 | ISLAND RANGE HOODS | 193257117 | none | ||
| 10002 | XtremeAir Ultra Series UL10 30" Stainless Steel 900 CFM Under Cabinet Range Hood | 22348843 | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | none | 22341193 | none | |
| 9955 | XtremeAir Pro-X Series PX15-W 30" Stainless Steel Wall Mounted Range Hood | 22348082 | WALL MOUNTED RANGE HOODS | 22340432 | none | ||
| 9788 | XtremeAir UL02-W Ultra Series 30" Stainless Steel Wall Mount Range Hood | 22348082 | WALL MOUNTED RANGE HOODS | 22340432 | none | ||
| 9890 | XtremeAir PX10 30" Stainless Steel 900 CFM Under Cabinet Range Hood | 7650 | Home & Garden > Household Appliances > Climate Control Appliances | none | 0 | none | |
| 9797 | XtremeAir Ultra Series UL11 30" Stainless Steel Under Cabinet Range Hood | 7650 | Home & Garden > Household Appliances > Climate Control Appliances | none | 0 | none | |
| 9958 | XtremeAir Special Ultra SU11-U 30" Stainless Steel Under Cabinet Range Hood | 7650 | Home & Garden > Household Appliances > Climate Control Appliances | none | 0 | none | |
| 10004 | XtremeAir PX02-W 30" Stainless Steel Wall Mount Range Hood | 6889 | WALL MOUNTED RANGE HOODS | -761 | none | ||
| 10037 | XtremeAir PX10-U367 36" Stainless Steel 900 CFM Under Cabinet Range Hood | 761 | none | -6889 | none | ||
| 9881 | XtremeAir PX12 30" Stainless Steel 900 CFM Under Cabinet Range Hood | 761 | none | -6889 | none | ||
| 9786 | XtremeAir Ultra Series UL10-U 30" Stainless Steel Under Cabinet Range Hood | 761 | none | -6889 | none | ||
| 9946 | Cosmo COS-63175 30" Stainless Steel Wall Mount Range Hood | 0 | WALL MOUNTED RANGE HOODS | -7650 | none | ||
| 10036 | XtremeAir SP01-W30 30" Stainless Steel 900 CFM Wall Mounted Range Hood | 0 | WALL MOUNTED RANGE HOODS | -7650 | none | ||
| 9948 | Cosmo COS-668WRC75 30" Stainless Steel Wall Mount Range Hood with Glass Canopy | 0 | WALL MOUNTED RANGE HOODS | -7650 | none | ||
| 9859 | ZLINE KB-30 30" Stainless Steel Convertible Vent Wall Mount Range Hood | -761 | ZLINE SALE, WALL MOUNTED RANGE HOODS | -8411 | none |