Fold 1 - Understanding why coefficient 725 was selected
Tag: 1500$ - 2000$
Selected Coefficient: 725
Taxonomy Path: 14.9
Taxonomy Name: Home & Garden > Household Appliances
Products with this tag: 3
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? |
|---|---|---|---|---|---|
| 725 | 0.012818 | 14.9 | 9.14 (9*79 + 14) | Home & Garden > Household Appliances | Yes |
| 158765524 | 0.012818 | 14.9.1.6.4 | 4.6.1.9.14 (4*79^4 + 6*79^3 + 6241 + 9*79 + 14) | Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fans | No |
| 19273091 | 0.025316 | 14.11.7.39 | 39.7.11.14 (39*79^3 + 7*79^2 + 11*79 + 14) | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | No |
These are the training products that have the "1500$ - 2000$" tag (processing sequence 241). 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 |
|---|---|---|---|---|---|---|---|
| 9079 | Zephyr Lucé Island Range Hood | 158765524 | Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fans | none | 158764799 | none | |
| 9080 | Zephyr Anzio Island Range Hood | 19273091 | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | none | 19272366 | none | |
| 9078 | Zephyr Modena Island Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | none |