Fold 3 - Understanding why coefficient 5041 was selected
Tag: 30" RANGE HOODS
Selected Coefficient: 5041
Taxonomy Path: 0.0.1
Taxonomy Name:
Products with this tag: 20
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? |
|---|---|---|---|---|---|
| 5041 | 1.029764 | 0.0.1 | 1.0.0 (5041) | Yes | |
| 103799231 | 1.029773 | 0.0.1.6.4 | 4.6.1.0.0 (4*71^4 + 6*71^3 + 5041) | No | |
| 0 | 1.029954 | 0 | 0 (0) | No | |
| 13993958 | 1.239437 | 0.2.7.39 | 39.7.2.0 (39*71^3 + 7*71^2 + 2*71) | No | |
| 653 | 19.000000 | 14.9 | 9.14 (9*71 + 14) | Home & Garden > Household Appliances | No |
These are the training products that have the "30" RANGE HOODS" tag (processing sequence 295). 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 |
|---|---|---|---|---|---|---|---|
| 9957 | XtremeAir Pro-X Series PX06-W 30" Stainless Steel Wall Mounted Range Hood | 103799231 | GRAY | 103794190 | none | ||
| 9873 | XtremeAir SP10 30" Stainless Steel 900 CFM Under Cabinet Range Hood | 103799231 | GRAY | 103794190 | none | ||
| 9959 | XtremeAir Special Ultra SU10-U 30" Stainless Steel Under Cabinet Range Hood | 103799231 | GRAY | 103794190 | none | ||
| 9955 | XtremeAir Pro-X Series PX15-W 30" Stainless Steel Wall Mounted Range Hood | 13993958 | GRAY | 13988917 | none | ||
| 10002 | XtremeAir Ultra Series UL10 30" Stainless Steel 900 CFM Under Cabinet Range Hood | 13993958 | GRAY | 13988917 | none | ||
| 9958 | XtremeAir Special Ultra SU11-U 30" Stainless Steel Under Cabinet Range Hood | 5041 | GRAY | 0 | none | ||
| 9797 | XtremeAir Ultra Series UL11 30" Stainless Steel Under Cabinet Range Hood | 5041 | GRAY | 0 | none | ||
| 9890 | XtremeAir PX10 30" Stainless Steel 900 CFM Under Cabinet Range Hood | 5041 | GRAY | 0 | none | ||
| 10004 | XtremeAir PX02-W 30" Stainless Steel Wall Mount Range Hood | 5041 | GRAY | 0 | none | ||
| 9951 | XtremeAir Pro-X Series PX06-I 30" Stainless Steel Island Range Hood | 5041 | GRAY | 0 | none | ||
| 9952 | XtremeAir Pro-X Series PX05-I 30" Stainless Steel Island Mount Range Hood | 5041 | GRAY | 0 | none | ||
| 9838 | ZLINE BSKBN-30 30" Black Stainless Steel Convertible Vent Wall Mount Range Hood | 653 | Home & Garden > Household Appliances | none | -4388 | DUCTLESS OPTION RANGE HOODS | |
| 10037 | XtremeAir PX10-U367 36" Stainless Steel 900 CFM Under Cabinet Range Hood | 0 | GRAY | -5041 | none | ||
| 9859 | ZLINE KB-30 30" Stainless Steel Convertible Vent Wall Mount Range Hood | 0 | GRAY | -5041 | none | ||
| 9867 | XtremeAir PX10-U307 30" Stainless Steel 900 CFM Under Cabinet Range Hood | 0 | GRAY | -5041 | none | ||
| 9881 | XtremeAir PX12 30" Stainless Steel 900 CFM Under Cabinet Range Hood | 0 | GRAY | -5041 | none | ||
| 9948 | Cosmo COS-668WRC75 30" Stainless Steel Wall Mount Range Hood with Glass Canopy | 0 | GRAY | -5041 | none | ||
| 10026 | XtremeAir SP01-I 30" Stainless Steel Island Mount Range Hood | 0 | GRAY | -5041 | none | ||
| 10036 | XtremeAir SP01-W30 30" Stainless Steel 900 CFM Wall Mounted Range Hood | 0 | GRAY | -5041 | none | ||
| 9790 | XtremeAir Ultra Series UL13 30" Stainless Steel Under Cabinet Range Hood | 0 | GRAY | -5041 | none |