Fold 3 - 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: 3
Unique residual values tried: 2
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 | 0.012658 | 14.9.1 | 1.9.14 (6241 + 9*79 + 14) | Home & Garden > Household Appliances > Climate Control Appliances | Yes |
| 19273091 | 0.025316 | 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 "ISLAND RANGE HOODS" tag (processing sequence 2405). 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 |
|---|---|---|---|---|---|---|---|
| 10025 | XtremeAir SP01-I 36" Stainless Steel Island Mount Range Hood | 19273091 | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | none | 19266125 | none | |
| 9950 | XtremeAir Pro-X Series PX06-I 36" Stainless Steel Island Range Hood | 6966 | Home & Garden > Household Appliances > Climate Control Appliances | none | 0 | none | |
| 9951 | XtremeAir Pro-X Series PX06-I 30" Stainless Steel Island Range Hood | 6966 | Home & Garden > Household Appliances > Climate Control Appliances | none | 0 | 30 INCH |