Fold 0 - Understanding why coefficient 6966 was selected
Tag: 30 INCH
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: 3
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 | 0.025321 | 14.9.1 | 1.9.14 (6241 + 9*79 + 14) | Home & Garden > Household Appliances > Climate Control Appliances | Yes |
| 158765524 | 0.025327 | 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 |
| 19273091 | 0.088608 | 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 |
These are the training products that have the "30 INCH" tag (processing sequence 2543). 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 |
|---|---|---|---|---|---|---|---|
| 9873 | XtremeAir SP10 30" Stainless Steel 900 CFM Under Cabinet Range Hood | 158765524 | Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fans | none | 158758558 | none | |
| 9959 | XtremeAir Special Ultra SU10-U 30" Stainless Steel Under Cabinet Range Hood | 158765524 | Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fans | none | 158758558 | none | |
| 9955 | XtremeAir Pro-X Series PX15-W 30" Stainless Steel Wall Mounted Range Hood | 19273091 | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | none | 19266125 | none | |
| 9788 | XtremeAir UL02-W Ultra Series 30" Stainless Steel Wall Mount Range Hood | 19273091 | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | none | 19266125 | none | |
| 9958 | XtremeAir Special Ultra SU11-U 30" Stainless Steel Under Cabinet Range Hood | 6966 | Home & Garden > Household Appliances > Climate Control Appliances | none | 0 | none | |
| 10004 | XtremeAir PX02-W 30" Stainless Steel Wall Mount Range Hood | 6966 | Home & Garden > Household Appliances > Climate Control Appliances | none | 0 | none | |
| 9797 | XtremeAir Ultra Series UL11 30" Stainless Steel Under Cabinet Range Hood | 6966 | Home & Garden > Household Appliances > Climate Control Appliances | none | 0 | none | |
| 9890 | XtremeAir PX10 30" Stainless Steel 900 CFM Under Cabinet Range Hood | 6966 | Home & Garden > Household Appliances > Climate Control Appliances | none | 0 | none | |
| 9952 | XtremeAir Pro-X Series PX05-I 30" Stainless Steel Island Mount Range Hood | 6966 | Home & Garden > Household Appliances > Climate Control Appliances | none | 0 | ISLAND RANGE HOODS |