Fold 4 - Understanding why coefficient 653 was selected
Tag: DUCTLESS OPTION RANGE HOODS
Selected Coefficient: 653
Taxonomy Path: 14.9
Taxonomy Name: Home & Garden > Household Appliances
Products with this tag: 4
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? |
|---|---|---|---|---|---|
| 653 | 0.014283 | 14.9 | 9.14 (9*71 + 14) | Home & Garden > Household Appliances | Yes |
| -4388 | 0.014481 | -57.61 | -61.57 (-(61*71 + 57)) | No | |
| 13994611 | 0.042254 | 14.11.7.39 | 39.7.11.14 (39*71^3 + 7*71^2 + 11*71 + 14) | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | No |
These are the training products that have the "DUCTLESS OPTION RANGE HOODS" tag (processing sequence 1061). 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 |
|---|---|---|---|---|---|---|---|
| 9837 | ZLINE BSKBN-36 36" Black Stainless Steel Convertible Vent Wall Mount Range Hood | 13994611 | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | none | 13993958 | none | |
| 9829 | ZLINE BSKBN-48 48" Black Stainless Steel Convertible Vent Wall Mount Range Hood | 653 | Home & Garden > Household Appliances | none | 0 | none | |
| 9830 | ZLINE BSKBN-42 42" Black Stainless Steel Convertible Vent Wall Mount Range Hood | 653 | Home & Garden > Household Appliances | none | 0 | none | |
| 9838 | ZLINE BSKBN-30 30" Black Stainless Steel Convertible Vent Wall Mount Range Hood | -4388 | 30" RANGE HOODS | -5041 | none |