Fold 4 - Understanding why coefficient 6241 was selected
Tag: ISLAND RANGE HOODS
Selected Coefficient: 6241
Taxonomy Path: 0.0.1
Taxonomy Name:
Products with this tag: 9
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? |
|---|---|---|---|---|---|
| 6241 | 0.013143 | 0.0.1 | 1.0.0 (6241) | Yes | |
| 158764799 | 0.013145 | 0.0.1.6.4 | 4.6.1.0.0 (4*79^4 + 6*79^3 + 6241) | No | |
| 0 | 0.013459 | 0 | 0 (0) | No | |
| 19272366 | 0.101266 | 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 "ISLAND RANGE HOODS" tag (processing sequence 1789). 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 | 158764799 | GRAY | 158758558 | none | ||
| 9941 | KOBE Brillia ISX21 SQB-2 36" Stainless Steel 680 CFM Island Range Hood | 158764799 | GRAY | 158758558 | none | ||
| 10025 | XtremeAir SP01-I 36" Stainless Steel Island Mount Range Hood | 19272366 | GRAY | 19266125 | none | ||
| 9950 | XtremeAir Pro-X Series PX06-I 36" Stainless Steel Island Range Hood | 6241 | GRAY | 0 | none | ||
| 9951 | XtremeAir Pro-X Series PX06-I 30" Stainless Steel Island Range Hood | 6241 | GRAY | 0 | none | ||
| 9952 | XtremeAir Pro-X Series PX05-I 30" Stainless Steel Island Mount Range Hood | 6241 | GRAY | 0 | none | ||
| 10026 | XtremeAir SP01-I 30" Stainless Steel Island Mount Range Hood | 0 | GRAY | -6241 | none | ||
| 9949 | XtremeAir Pro-X Series PX06-I 42" Stainless Steel Island Range Hood | 0 | GRAY | -6241 | none | ||
| 9940 | KOBE Brillia ISX21 SQB-2 42" Stainless Steel 680 CFM Island Range Hood | 0 | GRAY | -6241 | none |