Fold 1 - Understanding why coefficient 653 was selected
Tag: 40 INCH
Selected Coefficient: 653
Taxonomy Path: 14.9
Taxonomy Name: Home & Garden > Household Appliances
Products with this tag: 4
Unique residual values tried: 3
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? |
|---|---|---|---|---|---|
| 653 | 0.014283 | 14.9 | 9.14 (9*71 + 14) | Home & Garden > Household Appliances | Yes |
| 103799884 | 0.014481 | 14.9.1.6.4 | 4.6.1.9.14 (4*71^4 + 6*71^3 + 5041 + 9*71 + 14) | Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fans | No |
| 13994611 | 0.042254 | 14.11.7.39 | 39.7.11.14 (39*71^3 + 7*71^2 + 11*71 + 14) | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | No |
These are the training products that have the "40 INCH" tag (processing sequence 320). 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 | 103799884 | Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fans | none | 103799231 | 42" RANGE HOODS, ISLAND RANGE HOODS | |
| 9809 | ZLINE 695-RD 40" Stainless Steel Remote Dual Blower Range Hood Insert | 13994611 | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | none | 13993958 | none | |
| 9799 | ZLINE 695 40" Stainless Steel Ducted Range Hood Insert | 653 | Home & Garden > Household Appliances | none | 0 | none | |
| 9949 | XtremeAir Pro-X Series PX06-I 42" Stainless Steel Island Range Hood | 653 | Home & Garden > Household Appliances | none | 0 | 42" RANGE HOODS, ISLAND RANGE HOODS |