Fold 1 - Understanding why coefficient 725 was selected
Tag: 48" RANGE HOODS
Selected Coefficient: 725
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? |
|---|---|---|---|---|---|
| 725 | 1.012658 | 14.9 | 9.14 (9*79 + 14) | Home & Garden > Household Appliances | Yes |
| 19273091 | 1.025316 | 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 |
| 0 | 3.000000 | 0 | 0 (0) | No |
These are the training products that have the "48" RANGE HOODS" tag (processing sequence 2226). 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 |
|---|---|---|---|---|---|---|---|
| 9938 | KOBE Premium Mila CH77SQ6-XX 48" Stainless Steel 600 CFM Under Cabinet Range Hood | 19273091 | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | none | 19272366 | RANGE HOOD - STAINLESS STEEL | |
| 9798 | ZLINE 695 46" Stainless Steel Ducted Range Hood Insert | 725 | Home & Garden > Household Appliances | none | 0 | INSERT RANGE HOODS | |
| 9829 | ZLINE BSKBN-48 48" Black Stainless Steel Convertible Vent Wall Mount Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | STAFF PICKS, DUCTLESS OPTION RANGE HOODS, WALL MOUNTED RANGE HOODS | |
| 9839 | ZLINE KB-48 48" Stainless Steel Convertible Vent Wall Mount Range Hood | 0 | ZLINE SALE | -725 | STAFF PICKS, TOP RATED, WALL MOUNTED RANGE HOODS, RANGE HOOD - STAINLESS STEEL |