Fold 3 - Understanding why coefficient 761 was selected
Tag: 40 INCH
Selected Coefficient: 761
Taxonomy Path: 14.9
Taxonomy Name:
Products with this tag: 5
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? |
|---|---|---|---|---|---|
| 761 | 2.000145 | 14.9 | 9.14 (9*83 + 14) | Yes | |
| 193271656 | 2.000290 | 14.9.1.6.4 | 4.6.1.9.14 (4*83^4 + 6*83^3 + 6889 + 9*83 + 14) | Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fans | No |
| -761 | 4.000000 | -14.9 | -9.14 (-(9*83 + 14)) | No | |
| 22348082 | 4.000000 | 0.2.7.39 | 39.7.2.0 (39*83^3 + 7*83^2 + 2*83) | No |
These are the training products that have the "40 INCH" tag (processing sequence 3950). 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 | 193271656 | Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fans | none | 193270895 | none | |
| 9809 | ZLINE 695-RD 40" Stainless Steel Remote Dual Blower Range Hood Insert | 22348082 | ZLINE | 22347321 | INSERT RANGE HOODS | ||
| 9940 | KOBE Brillia ISX21 SQB-2 42" Stainless Steel 680 CFM Island Range Hood | 761 | none | 0 | none | ||
| 9949 | XtremeAir Pro-X Series PX06-I 42" Stainless Steel Island Range Hood | 761 | none | 0 | none | ||
| 9799 | ZLINE 695 40" Stainless Steel Ducted Range Hood Insert | -761 | RANGE HOOD INSERTS, ZLINE | -1522 | INSERT RANGE HOODS |