Fold 0 - Understanding why coefficient -193264006 was selected
Tag: ISLAND RANGE HOODS
Selected Coefficient: -193264006
Taxonomy Path: -0.0.0.6.4
Taxonomy Name:
Products with this tag: 7
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? |
|---|---|---|---|---|---|
| -193264006 | 3.000149 | -0.0.0.6.4 | -4.6.0.0.0 (-(4*83^4 + 6*83^3)) | Yes | |
| 0 | 3.000149 | 0 | 0 (0) | No | |
| 193264006 | 3.000149 | 0.0.0.6.4 | 4.6.0.0.0 (4*83^4 + 6*83^3) | No | |
| -6889 | 3.000435 | -0.0.1 | -1.0.0 (-(6889)) | No | |
| 7650 | 4.000145 | 14.9.1 | 1.9.14 (6889 + 9*83 + 14) | Home & Garden > Household Appliances > Climate Control Appliances | No |
| 761 | 4.000290 | 14.9 | 9.14 (9*83 + 14) | No |
These are the training products that have the "ISLAND RANGE HOODS" tag (processing sequence 5370). 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 | 193264006 | 40 INCH, 42" RANGE HOODS | 386528012 | none | ||
| 9951 | XtremeAir Pro-X Series PX06-I 30" Stainless Steel Island Range Hood | 7650 | Home & Garden > Household Appliances > Climate Control Appliances | none | 193271656 | Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fans | 30" RANGE HOODS |
| 9952 | XtremeAir Pro-X Series PX05-I 30" Stainless Steel Island Mount Range Hood | 7650 | Home & Garden > Household Appliances > Climate Control Appliances | none | 193271656 | Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fans | 30" RANGE HOODS |
| 10026 | XtremeAir SP01-I 30" Stainless Steel Island Mount Range Hood | 761 | none | 193264767 | 30" RANGE HOODS | ||
| 9941 | KOBE Brillia ISX21 SQB-2 36" Stainless Steel 680 CFM Island Range Hood | 0 | 36" RANGE HOODS | 193264006 | none | ||
| 9940 | KOBE Brillia ISX21 SQB-2 42" Stainless Steel 680 CFM Island Range Hood | -6889 | 40 INCH, 42" RANGE HOODS | 193257117 | none | ||
| 9950 | XtremeAir Pro-X Series PX06-I 36" Stainless Steel Island Range Hood | -193264006 | 36" RANGE HOODS | 0 | none |