Fold 1 - Understanding why coefficient 7650 was selected
Tag: ISLAND RANGE HOODS
Selected Coefficient: 7650
Taxonomy Path: 14.9.1
Taxonomy Name: Home & Garden > Household Appliances > Climate Control Appliances
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? |
|---|---|---|---|---|---|
| 7650 | 3.012193 | 14.9.1 | 1.9.14 (6889 + 9*83 + 14) | Home & Garden > Household Appliances > Climate Control Appliances | Yes |
| 761 | 3.012339 | 14.9 | 9.14 (9*83 + 14) | No | |
| 22348843 | 3.036145 | 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 | 5.000145 | 0 | 0 (0) | No | |
| 193270895 | 5.000145 | 0.0.1.6.4 | 4.6.1.0.0 (4*83^4 + 6*83^3 + 6889) | No | |
| 193272417 | 6.000000 | 28.18.1.6.4 | 4.6.1.18.28 (4*83^4 + 6*83^3 + 6889 + 18*83 + 28) | No |
These are the training products that have the "ISLAND RANGE HOODS" tag (processing sequence 6490). 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 |
|---|---|---|---|---|---|---|---|
| 9941 | KOBE Brillia ISX21 SQB-2 36" Stainless Steel 680 CFM Island Range Hood | 193272417 | TOP RATED | 193264767 | none | ||
| 10024 | XtremeAir SP01-I 42" Stainless Steel Island Mount Range Hood | 193270895 | 42" RANGE HOODS | 193263245 | none | ||
| 10025 | XtremeAir SP01-I 36" Stainless Steel Island Mount Range Hood | 22348843 | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | none | 22341193 | none | |
| 9950 | XtremeAir Pro-X Series PX06-I 36" Stainless Steel Island Range Hood | 7650 | Home & Garden > Household Appliances > Climate Control Appliances | none | 0 | none | |
| 9952 | XtremeAir Pro-X Series PX05-I 30" Stainless Steel Island Mount Range Hood | 7650 | Home & Garden > Household Appliances > Climate Control Appliances | none | 0 | none | |
| 9940 | KOBE Brillia ISX21 SQB-2 42" Stainless Steel 680 CFM Island Range Hood | 761 | 42" RANGE HOODS, TOP RATED | -6889 | none | ||
| 9949 | XtremeAir Pro-X Series PX06-I 42" Stainless Steel Island Range Hood | 0 | 42" RANGE HOODS | -7650 | none |