Fold 0 - Understanding why coefficient 761 was selected
Tag: 40 INCH
Selected Coefficient: 761
Taxonomy Path: 14.9
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? |
|---|---|---|---|---|---|
| 761 | 1.012193 | 14.9 | 9.14 (9*83 + 14) | Yes | |
| 193271656 | 1.012193 | 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 |
| 22348843 | 1.024096 | 14.11.7.39 | 39.7.11.14 (39*83^3 + 7*83^2 + 11*83 + 14) | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | No |
| 0 | 3.000000 | 0 | 0 (0) | No |
These are the training products that have the "40 INCH" tag (processing sequence 4672). 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 | 42" RANGE HOODS, ISLAND RANGE HOODS | |
| 9809 | ZLINE 695-RD 40" Stainless Steel Remote Dual Blower Range Hood Insert | 22348843 | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | none | 22348082 | none | |
| 9940 | KOBE Brillia ISX21 SQB-2 42" Stainless Steel 680 CFM Island Range Hood | 761 | none | 0 | 42" RANGE HOODS, ISLAND RANGE HOODS | ||
| 9799 | ZLINE 695 40" Stainless Steel Ducted Range Hood Insert | 0 | RANGE HOOD INSERTS | -761 | none |