Fold 1 - Understanding why coefficient 725 was selected
Tag: RANGE HOODS
Selected Coefficient: 725
Taxonomy Path: 14.9
Taxonomy Name: Home & Garden > Household Appliances
Products with this tag: 34
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? |
|---|---|---|---|---|---|
| 725 | 10.026278 | 14.9 | 9.14 (9*79 + 14) | Home & Garden > Household Appliances | Yes |
| 6966 | 10.027886 | 14.9.1 | 1.9.14 (6241 + 9*79 + 14) | Home & Garden > Household Appliances > Climate Control Appliances | No |
| 158765524 | 10.027886 | 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 | 10.278481 | 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 |
| 0 | 24.000160 | 0 | 0 (0) | No | |
| 6241 | 24.001442 | 0.0.1 | 1.0.0 (6241) | No |
These are the training products that have the "RANGE HOODS" tag (processing sequence 2319). 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 | 1500$ - 2000$ | |
| 9092 | Zephyr Siena Wall Mount Range Hood | 158765524 | Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fans | none | 158764799 | none | |
| 9091 | Zephyr Siena Wall Energy Star Mount 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 | 1500$ - 2000$ | |
| 9125 | Zephyr Roma Pro Wall Mount Range Hood | 19273091 | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | none | 19272366 | none | |
| 9062 | Zephyr Ravenna Island Range Hood | 6966 | Home & Garden > Household Appliances > Climate Control Appliances | none | 6241 | 1500$ - 2000$ | |
| 9048 | Zephyr Hurricane Under-Cabinet Range Hood | 6966 | Home & Garden > Household Appliances > Climate Control Appliances | none | 6241 | none | |
| 9126 | Zephyr Roma Groove Wall Mount Range Hood | 6966 | Home & Garden > Household Appliances > Climate Control Appliances | none | 6241 | none | |
| 9127 | Zephyr Tidal I Under-Cabinet Range Hood | 6241 | 1500$-2000$ | 5516 | none | ||
| 9095 | Zephyr Ravenna Wall Mount Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | none | |
| 9096 | Zephyr Modena Wall Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | none | |
| 9112 | Zephyr Modena Wall Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | none | |
| 9045 | Zephyr Typhoon Under-Cabinet Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | none | |
| 9046 | Zephyr Pyramid Under-Cabinet Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | none | |
| 9047 | Zephyr Pisa Under-Cabinet Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | none | |
| 9049 | Zephyr Gust Under-Cabinet Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | none | |
| 9056 | Zephyr Cyclone Under-Cabinet Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | none | |
| 9058 | Zephyr Breeze I Under-Cabinet Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | none | |
| 9060 | Zephyr Siena Pro Island Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | none | |
| 9082 | Zephyr Siena Pro Wall Mount Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | none | |
| 9094 | Zephyr Roma Wall Mount Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | none | |
| 9124 | Zephyr Titan Island Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | none | |
| 9139 | Zephyr Monsoon Connect Insert Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | none | |
| 9140 | Zephyr Venezia Wall Mount Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | none | |
| 9141 | Zephyr Napoli Island Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | none | |
| 9059 | Zephyr Verona Island Range Hood | 0 | 1500$-2000$ | -725 | none | ||
| 9129 | Zephyr Tidal II Wall Mount Range Hood | 0 | 1500$-2000$ | -725 | none | ||
| 9154 | Zephyr Milano Island Mount Range Hood | 0 | 1500$-2000$ | -725 | none | ||
| 9155 | Zephyr 36" Layers Wall Mount Range Hood | 0 | 1500$-2000$ | -725 | none | ||
| 9157 | Zephyr 36" Mesa Wall Mount Range Hood | 0 | 1500$-2000$ | -725 | none | ||
| 9115 | Zephyr Lift Downdraft Kitchen Vent | 0 | 1500$-2000$ | -725 | none | ||
| 9153 | Zephyr 36" Milano Wall Mount Range Hood | 0 | 1500$-2000$ | -725 | none | ||
| 9114 | Zephyr Anzio Wall Range Hood | 0 | 1500$-2000$ | -725 | none | ||
| 9113 | Zephyr Lucé Wall Mounted Hood Vent | 0 | 1500$-2000$ | -725 | none |