Fold 4 - Understanding why coefficient 761 was selected
Tag: UNDER CABINET RANGE HOODS
Selected Coefficient: 761
Taxonomy Path: 14.9
Taxonomy Name:
Products with this tag: 15
Unique residual values tried: 7
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 | 7.024532 | 14.9 | 9.14 (9*83 + 14) | Yes | |
| 193271656 | 7.024534 | 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 |
| 7650 | 7.024535 | 14.9.1 | 1.9.14 (6889 + 9*83 + 14) | Home & Garden > Household Appliances > Climate Control Appliances | No |
| 22348843 | 7.072289 | 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 | 8.000435 | 0 | 0 (0) | No | |
| 193270895 | 8.000582 | 0.0.1.6.4 | 4.6.1.0.0 (4*83^4 + 6*83^3 + 6889) | No | |
| 6889 | 8.000584 | 0.0.1 | 1.0.0 (6889) | No |
These are the training products that have the "UNDER CABINET RANGE HOODS" tag (processing sequence 5183). 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 |
|---|---|---|---|---|---|---|---|
| 9959 | XtremeAir Special Ultra SU10-U 30" Stainless Steel Under Cabinet Range Hood | 193271656 | Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fans | none | 193270895 | none | |
| 9873 | XtremeAir SP10 30" Stainless Steel 900 CFM Under Cabinet Range Hood | 193271656 | Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fans | none | 193270895 | none | |
| 9872 | XtremeAir SP10 36" Stainless Steel 900 CFM Under Cabinet Range Hood | 193270895 | 36" RANGE HOODS | 193270134 | none | ||
| 9789 | XtremeAir Ultra Series UL13 36" Stainless Steel Under Cabinet Range Hood | 193270895 | 36" RANGE HOODS | 193270134 | none | ||
| 10002 | XtremeAir Ultra Series UL10 30" Stainless Steel 900 CFM Under Cabinet Range Hood | 22348843 | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | none | 22348082 | none | |
| 9938 | KOBE Premium Mila CH77SQ6-XX 48" Stainless Steel 600 CFM Under Cabinet Range Hood | 22348843 | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | none | 22348082 | none | |
| 9958 | XtremeAir Special Ultra SU11-U 30" Stainless Steel Under Cabinet Range Hood | 7650 | Home & Garden > Household Appliances > Climate Control Appliances | none | 6889 | none | |
| 9796 | XtremeAir Ultra Series UL11 36" Stainless Steel Under Cabinet Range Hood | 6889 | 36" RANGE HOODS | 6128 | none | ||
| 9867 | XtremeAir PX10-U307 30" Stainless Steel 900 CFM Under Cabinet Range Hood | 761 | none | 0 | none | ||
| 9790 | XtremeAir Ultra Series UL13 30" Stainless Steel Under Cabinet Range Hood | 761 | none | 0 | none | ||
| 9786 | XtremeAir Ultra Series UL10-U 30" Stainless Steel Under Cabinet Range Hood | 761 | none | 0 | none | ||
| 9882 | XtremeAir PX10 36" Stainless Steel 900 CFM Under Cabinet Range Hood | 0 | 36" RANGE HOODS | -761 | none | ||
| 9880 | XtremeAir PX12 36" Stainless Steel 900 CFM Under Cabinet Range Hood | 0 | 36" RANGE HOODS | -761 | none | ||
| 10001 | XtremeAir Ultra Series UL10 36" Stainless Steel 900 CFM Under Cabinet Range Hood | 0 | 36" RANGE HOODS | -761 | none | ||
| 9785 | XtremeAir Ultra Series UL10-U 36" Stainless Steel Under Cabinet Range Hood | 0 | 36" RANGE HOODS | -761 | none |