Fold 0 - Understanding why coefficient -725 was selected
Tag: DUCTLESS OPTION RANGE HOODS
Selected Coefficient: -725
Taxonomy Path: -14.9
Taxonomy Name:
Products with this tag: 5
Unique residual values tried: 4
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? |
|---|---|---|---|---|---|
| -725 | 2.012658 | -14.9 | -9.14 (-(9*79 + 14)) | Yes | |
| 19271641 | 2.025316 | 65.71.6.39 | 39.6.71.65 (39*79^3 + 6*79^2 + 71*79 + 65) | No | |
| 725 | 4.000000 | 14.9 | 9.14 (9*79 + 14) | Home & Garden > Household Appliances | No |
| 19272366 | 4.000000 | 0.2.7.39 | 39.7.2.0 (39*79^3 + 7*79^2 + 2*79) | No |
These are the training products that have the "DUCTLESS OPTION RANGE HOODS" tag (processing sequence 2692). 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 |
|---|---|---|---|---|---|---|---|
| 9945 | ZLINE 8656S 36" Stainless Steel 900 CFM Designer Series Wall Mount Range Hood | 19272366 | WALL MOUNTED RANGE HOODS | 19273091 | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | none | |
| 9837 | ZLINE BSKBN-36 36" Black Stainless Steel Convertible Vent Wall Mount Range Hood | 19271641 | STAFF PICKS, WALL MOUNTED RANGE HOODS | 19272366 | none | ||
| 9830 | ZLINE BSKBN-42 42" Black Stainless Steel Convertible Vent Wall Mount Range Hood | 725 | Home & Garden > Household Appliances | STAFF PICKS, WALL MOUNTED RANGE HOODS, 42" RANGE HOODS | 1450 | none | |
| 9829 | ZLINE BSKBN-48 48" Black Stainless Steel Convertible Vent Wall Mount Range Hood | -725 | STAFF PICKS, WALL MOUNTED RANGE HOODS | 0 | none | ||
| 9838 | ZLINE BSKBN-30 30" Black Stainless Steel Convertible Vent Wall Mount Range Hood | -725 | STAFF PICKS, WALL MOUNTED RANGE HOODS | 0 | none |