Fold 0 - Understanding why coefficient 761 was selected
Tag: RANGE HOODS
Selected Coefficient: 761
Taxonomy Path: 14.9
Taxonomy Name:
Products with this tag: 32
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? |
|---|---|---|---|---|---|
| 761 | 8.024967 | 14.9 | 9.14 (9*83 + 14) | Yes | |
| 7650 | 8.026424 | 14.9.1 | 1.9.14 (6889 + 9*83 + 14) | Home & Garden > Household Appliances > Climate Control Appliances | No |
| 193271656 | 8.026424 | 14.9.1.6.4 | 4.6.1.9.14 (4*83^4 + 6*83^3 + 6889 + 9*83 + 14) | Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fans | No |
| 22348843 | 8.265060 | 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 | 24.000145 | 0 | 0 (0) | No | |
| 6889 | 24.001016 | 0.0.1 | 1.0.0 (6889) | No |
These are the training products that have the "RANGE HOODS" tag (processing sequence 3153). 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 | 193271656 | Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fans | none | 193270895 | 1000$-1500$ | |
| 9079 | Zephyr Lucé Island Range Hood | 193271656 | Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fans | none | 193270895 | none | |
| 9091 | Zephyr Siena Wall Energy Star Mount Range Hood | 193271656 | Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fans | none | 193270895 | 1000$-1500$ | |
| 9080 | Zephyr Anzio Island Range Hood | 22348843 | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | none | 22348082 | none | |
| 9125 | Zephyr Roma Pro Wall Mount Range Hood | 22348843 | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | none | 22348082 | none | |
| 9057 | Zephyr Breeze II Under-Cabinet Range Hood | 7650 | Home & Garden > Household Appliances > Climate Control Appliances | none | 6889 | none | |
| 9126 | Zephyr Roma Groove Wall Mount Range Hood | 7650 | Home & Garden > Household Appliances > Climate Control Appliances | none | 6889 | 1000$-1500$ | |
| 9048 | Zephyr Hurricane Under-Cabinet Range Hood | 7650 | Home & Garden > Household Appliances > Climate Control Appliances | none | 6889 | none | |
| 9127 | Zephyr Tidal I Under-Cabinet Range Hood | 6889 | 1500$-2000$ | 6128 | none | ||
| 9082 | Zephyr Siena Pro Wall Mount Range Hood | 761 | none | 0 | 1000$-1500$ | ||
| 9093 | Zephyr Savona Wall Mount Range Hood | 761 | none | 0 | none | ||
| 9094 | Zephyr Roma Wall Mount Range Hood | 761 | none | 0 | none | ||
| 9112 | Zephyr Modena Wall Range Hood | 761 | none | 0 | 1000$-1500$ | ||
| 9045 | Zephyr Typhoon Under-Cabinet Range Hood | 761 | none | 0 | none | ||
| 9046 | Zephyr Pyramid Under-Cabinet Range Hood | 761 | none | 0 | none | ||
| 9047 | Zephyr Pisa Under-Cabinet Range Hood | 761 | none | 0 | none | ||
| 9049 | Zephyr Gust Under-Cabinet Range Hood | 761 | none | 0 | none | ||
| 9056 | Zephyr Cyclone Under-Cabinet Range Hood | 761 | none | 0 | none | ||
| 9058 | Zephyr Breeze I Under-Cabinet Range Hood | 761 | none | 0 | none | ||
| 9060 | Zephyr Siena Pro Island Range Hood | 761 | none | 0 | none | ||
| 9061 | Zephyr Roma Island Range Hood | 761 | none | 0 | none | ||
| 9078 | Zephyr Modena Island Range Hood | 761 | none | 0 | none | ||
| 9139 | Zephyr Monsoon Connect Insert Range Hood | 761 | none | 0 | none | ||
| 9140 | Zephyr Venezia Wall Mount Range Hood | 761 | none | 0 | none | ||
| 9141 | Zephyr Napoli Island Range Hood | 761 | none | 0 | none | ||
| 9154 | Zephyr Milano Island Mount Range Hood | 0 | 1500$-2000$ | -761 | none | ||
| 9155 | Zephyr 36" Layers Wall Mount Range Hood | 0 | 1500$-2000$ | -761 | none | ||
| 9157 | Zephyr 36" Mesa Wall Mount Range Hood | 0 | 1500$-2000$ | -761 | none | ||
| 9153 | Zephyr 36" Milano Wall Mount Range Hood | 0 | 1500$-2000$ | -761 | none | ||
| 9115 | Zephyr Lift Downdraft Kitchen Vent | 0 | 1500$-2000$ | -761 | none | ||
| 9059 | Zephyr Verona Island Range Hood | 0 | 1500$-2000$ | -761 | none | ||
| 9129 | Zephyr Tidal II Wall Mount Range Hood | 0 | 1500$-2000$ | -761 | none |