Fold 1 - Understanding why coefficient 725 was selected
Tag: 42" RANGE HOODS
Selected Coefficient: 725
Taxonomy Path: 14.9
Taxonomy Name: Home & Garden > Household Appliances
Products with this tag: 5
Unique residual values tried: 5
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 | 2.012818 | 14.9 | 9.14 (9*79 + 14) | Home & Garden > Household Appliances | Yes |
| 158765524 | 2.012818 | 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 | 2.025316 | 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 |
| -1450 | 4.000000 | -28.18 | -18.28 (-(18*79 + 28)) | No | |
| 6241 | 4.000000 | 0.0.1 | 1.0.0 (6241) | No |
These are the training products that have the "42" RANGE HOODS" tag (processing sequence 2681). 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 |
|---|---|---|---|---|---|---|---|
| 10024 | XtremeAir SP01-I 42" Stainless Steel Island Mount Range Hood | 158765524 | Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fans | none | 158764799 | RANGE HOOD - STAINLESS STEEL, 40 INCH | |
| 9940 | KOBE Brillia ISX21 SQB-2 42" Stainless Steel 680 CFM Island Range Hood | 19273091 | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | TOP RATED | 19272366 | RANGE HOOD - STAINLESS STEEL, 40 INCH | |
| 9953 | XtremeAir Pro-X Series PX15-W 42" Stainless Steel Wall Mounted Range Hood | 6241 | WALL MOUNTED RANGE HOODS | 5516 | RANGE HOOD - STAINLESS STEEL | ||
| 9949 | XtremeAir Pro-X Series PX06-I 42" Stainless Steel Island Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | RANGE HOOD - STAINLESS STEEL, 40 INCH | |
| 9857 | ZLINE KB-42 42" Stainless Steel Convertible Vent Wall Mount Range Hood | -1450 | ZLINE SALE, STAFF PICKS, TOP RATED, WALL MOUNTED RANGE HOODS | -2175 | RANGE HOOD - STAINLESS STEEL |