Fold 2 - Understanding why coefficient 5041 was selected
Tag: ISLAND RANGE HOODS
Selected Coefficient: 5041
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? |
|---|---|---|---|---|---|
| 5041 | 0.014685 | 0.0.1 | 1.0.0 (5041) | Yes | |
| 103799231 | 0.014688 | 0.0.1.6.4 | 4.6.1.0.0 (4*71^4 + 6*71^3 + 5041) | No | |
| 0 | 0.015076 | 0 | 0 (0) | No | |
| 13993958 | 0.112676 | 0.2.7.39 | 39.7.2.0 (39*71^3 + 7*71^2 + 2*71) | No |
These are the training products that have the "ISLAND RANGE HOODS" tag (processing sequence 1501). 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 | 103799231 | GRAY | 103794190 | none | ||
| 9941 | KOBE Brillia ISX21 SQB-2 36" Stainless Steel 680 CFM Island Range Hood | 103799231 | GRAY | 103794190 | none | ||
| 10025 | XtremeAir SP01-I 36" Stainless Steel Island Mount Range Hood | 13993958 | GRAY | 13988917 | none | ||
| 9950 | XtremeAir Pro-X Series PX06-I 36" Stainless Steel Island 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 | ||
| 10026 | XtremeAir SP01-I 30" Stainless Steel Island Mount Range Hood | 0 | GRAY | -5041 | none | ||
| 9949 | XtremeAir Pro-X Series PX06-I 42" Stainless Steel Island Range Hood | 0 | GRAY | -5041 | none | ||
| 9940 | KOBE Brillia ISX21 SQB-2 42" Stainless Steel 680 CFM Island Range Hood | 0 | GRAY | -5041 | none |