Fold 2 - Understanding why coefficient 761 was selected
Tag: 30" RANGE HOODS
Selected Coefficient: 761
Taxonomy Path: 14.9
Taxonomy Name:
Products with this tag: 19
Unique residual values tried: 8
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? |
|---|---|---|---|---|---|
| 761 | 6.012919 | 14.9 | 9.14 (9*83 + 14) | Yes | |
| 7650 | 6.012921 | 14.9.1 | 1.9.14 (6889 + 9*83 + 14) | Home & Garden > Household Appliances > Climate Control Appliances | No |
| 193271656 | 6.012928 | 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 |
| 22348843 | 6.144578 | 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 | 14.000290 | 0 | 0 (0) | No | |
| 6889 | 14.000437 | 0.0.1 | 1.0.0 (6889) | No | |
| 193270895 | 14.000437 | 0.0.1.6.4 | 4.6.1.0.0 (4*83^4 + 6*83^3 + 6889) | 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 4356). 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 |
|---|---|---|---|---|---|---|---|
| 9959 | XtremeAir Special Ultra SU10-U 30" Stainless Steel Under Cabinet Range Hood | 193271656 | Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fans | none | 193270895 | none | |
| 9957 | XtremeAir Pro-X Series PX06-W 30" Stainless Steel Wall Mounted Range Hood | 193270895 | WALL MOUNTED RANGE HOODS | 193270134 | 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 | 22348082 | none | |
| 9797 | XtremeAir Ultra Series UL11 30" Stainless Steel Under Cabinet Range Hood | 7650 | Home & Garden > Household Appliances > Climate Control Appliances | none | 6889 | none | |
| 9890 | XtremeAir PX10 30" Stainless Steel 900 CFM Under Cabinet Range Hood | 7650 | Home & Garden > Household Appliances > Climate Control Appliances | none | 6889 | none | |
| 9958 | XtremeAir Special Ultra SU11-U 30" Stainless Steel Under Cabinet Range Hood | 7650 | Home & Garden > Household Appliances > Climate Control Appliances | none | 6889 | none | |
| 9951 | XtremeAir Pro-X Series PX06-I 30" Stainless Steel Island Range Hood | 7650 | Home & Garden > Household Appliances > Climate Control Appliances | none | 6889 | none | |
| 9952 | XtremeAir Pro-X Series PX05-I 30" Stainless Steel Island Mount Range Hood | 7650 | Home & Garden > Household Appliances > Climate Control Appliances | none | 6889 | none | |
| 9960 | Cosmo COS-668WRCS75 30" Stainless Steel Ducted Wall Mount Range Hood | 6889 | WALL MOUNTED RANGE HOODS | 6128 | none | ||
| 9786 | XtremeAir Ultra Series UL10-U 30" Stainless Steel Under Cabinet Range Hood | 761 | none | 0 | none | ||
| 9790 | XtremeAir Ultra Series UL13 30" Stainless Steel Under Cabinet Range Hood | 761 | none | 0 | none | ||
| 9867 | XtremeAir PX10-U307 30" Stainless Steel 900 CFM Under Cabinet Range Hood | 761 | none | 0 | none | ||
| 9881 | XtremeAir PX12 30" Stainless Steel 900 CFM Under Cabinet Range Hood | 761 | none | 0 | none | ||
| 10026 | XtremeAir SP01-I 30" Stainless Steel Island Mount Range Hood | 761 | none | 0 | none | ||
| 10037 | XtremeAir PX10-U367 36" Stainless Steel 900 CFM Under Cabinet Range Hood | 761 | none | 0 | none | ||
| 9859 | ZLINE KB-30 30" Stainless Steel Convertible Vent Wall Mount Range Hood | 0 | STAFF PICKS, WALL MOUNTED RANGE HOODS, TOP RATED | -761 | none | ||
| 9948 | Cosmo COS-668WRC75 30" Stainless Steel Wall Mount Range Hood with Glass Canopy | 0 | WALL MOUNTED RANGE HOODS | -761 | none | ||
| 9946 | Cosmo COS-63175 30" Stainless Steel Wall Mount Range Hood | 0 | WALL MOUNTED RANGE HOODS | -761 | none | ||
| 9838 | ZLINE BSKBN-30 30" Black Stainless Steel Convertible Vent Wall Mount Range Hood | -761 | ZLINE, STAFF PICKS, DUCTLESS OPTION RANGE HOODS, WALL MOUNTED RANGE HOODS | -1522 | none |