Fold 3 - Understanding why coefficient 653 was selected
Tag: 1000$-1500$
Selected Coefficient: 653
Taxonomy Path: 14.9
Taxonomy Name: Home & Garden > Household Appliances
Products with this tag: 8
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 | 0.000595 | 14.9 | 9.14 (9*71 + 14) | Home & Garden > Household Appliances | Yes |
| 103799884 | 0.000995 | 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 |
| 5694 | 0.000997 | 14.9.1 | 1.9.14 (5041 + 9*71 + 14) | Home & Garden > Household Appliances > Climate Control Appliances | No |
These are the training products that have the "1000$-1500$" tag (processing sequence 248). 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 |
|---|---|---|---|---|---|---|---|
| 9092 | Zephyr Siena Wall Mount Range Hood | 103799884 | Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fans | none | 103799231 | none | |
| 9091 | Zephyr Siena Wall Energy Star Mount Range Hood | 103799884 | Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fans | none | 103799231 | none | |
| 9126 | Zephyr Roma Groove Wall Mount Range Hood | 5694 | Home & Garden > Household Appliances > Climate Control Appliances | none | 5041 | none | |
| 9096 | Zephyr Modena Wall Range Hood | 653 | Home & Garden > Household Appliances | none | 0 | none | |
| 9112 | Zephyr Modena Wall Range Hood | 653 | Home & Garden > Household Appliances | none | 0 | none | |
| 9095 | Zephyr Ravenna Wall Mount Range Hood | 653 | Home & Garden > Household Appliances | none | 0 | none | |
| 9082 | Zephyr Siena Pro Wall Mount Range Hood | 653 | Home & Garden > Household Appliances | none | 0 | none | |
| 9081 | Zephyr Verona Wall Mount Range Hood | 653 | Home & Garden > Household Appliances | none | 0 | none |