Fold 3 - Understanding why coefficient -725 was selected
Tag: ISLAND RANGE HOODS
Selected Coefficient: -725
Taxonomy Path: -14.9
Taxonomy Name:
Products with this tag: 6
Unique residual values tried: 6
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 | 3.012818 | -14.9 | -9.14 (-(9*79 + 14)) | Yes | |
| 5516 | 3.012818 | 65.69 | 69.65 (69*79 + 65) | No | |
| 19271641 | 3.025316 | 65.71.6.39 | 39.6.71.65 (39*79^3 + 6*79^2 + 71*79 + 65) | No | |
| 0 | 4.000160 | 0 | 0 (0) | No | |
| 6241 | 4.000160 | 0.0.1 | 1.0.0 (6241) | No | |
| -1450 | 5.000000 | -28.18 | -18.28 (-(18*79 + 28)) | No |
These are the training products that have the "ISLAND RANGE HOODS" tag (processing sequence 2951). 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 |
|---|---|---|---|---|---|---|---|
| 10025 | XtremeAir SP01-I 36" Stainless Steel Island Mount Range Hood | 19271641 | 36" RANGE HOODS, STAINLESS STEEL RANGE HOODS | 19272366 | none | ||
| 9951 | XtremeAir Pro-X Series PX06-I 30" Stainless Steel Island Range Hood | 6241 | STAINLESS STEEL RANGE HOODS | 6966 | Home & Garden > Household Appliances > Climate Control Appliances | none | |
| 9950 | XtremeAir Pro-X Series PX06-I 36" Stainless Steel Island Range Hood | 5516 | 36" RANGE HOODS, STAINLESS STEEL RANGE HOODS | 6241 | none | ||
| 10026 | XtremeAir SP01-I 30" Stainless Steel Island Mount Range Hood | 0 | STAINLESS STEEL RANGE HOODS | 725 | Home & Garden > Household Appliances | none | |
| 9949 | XtremeAir Pro-X Series PX06-I 42" Stainless Steel Island Range Hood | -725 | 40 INCH, STAINLESS STEEL RANGE HOODS | 0 | none | ||
| 9940 | KOBE Brillia ISX21 SQB-2 42" Stainless Steel 680 CFM Island Range Hood | -1450 | 40 INCH, TOP RATED, STAINLESS STEEL RANGE HOODS | -725 | none |