Fold 0 - Understanding why coefficient 6889 was selected
Tag: 42" RANGE HOODS
Selected Coefficient: 6889
Taxonomy Path: 0.0.1
Taxonomy Name:
Products with this tag: 4
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? |
|---|---|---|---|---|---|
| 6889 | 1.000147 | 0.0.1 | 1.0.0 (6889) | Yes | |
| 193270895 | 1.000147 | 0.0.1.6.4 | 4.6.1.0.0 (4*83^4 + 6*83^3 + 6889) | No | |
| 0 | 1.000290 | 0 | 0 (0) | No | |
| -761 | 3.000000 | -14.9 | -9.14 (-(9*83 + 14)) | No |
These are the training products that have the "42" RANGE HOODS" tag (processing sequence 4673). 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 | 193270895 | 40 INCH | 193264006 | ISLAND RANGE HOODS | ||
| 9953 | XtremeAir Pro-X Series PX15-W 42" Stainless Steel Wall Mounted Range Hood | 6889 | WALL MOUNTED RANGE HOODS | 0 | none | ||
| 9940 | KOBE Brillia ISX21 SQB-2 42" Stainless Steel 680 CFM Island Range Hood | 0 | 40 INCH | -6889 | ISLAND RANGE HOODS | ||
| 9857 | ZLINE KB-42 42" Stainless Steel Convertible Vent Wall Mount Range Hood | -761 | ZLINE SALE, WALL MOUNTED RANGE HOODS | -7650 | none |