Fold 0 - Understanding why coefficient 653 was selected
Tag: RANGE HOODS
Selected Coefficient: 653
Taxonomy Path: 14.9
Taxonomy Name: Home & Garden > Household Appliances
Products with this tag: 27
Unique residual values tried: 8
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 | 13.014283 | 14.9 | 9.14 (9*71 + 14) | Home & Garden > Household Appliances | Yes |
| 5694 | 13.016465 | 14.9.1 | 1.9.14 (5041 + 9*71 + 14) | Home & Garden > Household Appliances > Climate Control Appliances | No |
| 13994611 | 13.183099 | 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 |
| 0 | 14.014484 | 0 | 0 (0) | No | |
| -103794190 | 14.014506 | -0.0.0.6.4 | -4.6.0.0.0 (-(4*71^4 + 6*71^3)) | No | |
| 5041 | 14.016267 | 0.0.1 | 1.0.0 (5041) | No | |
| -103799231 | 14.016267 | -0.0.1.6.4 | -4.6.1.0.0 (-(4*71^4 + 6*71^3 + 5041)) | No | |
| 13993958 | 14.169014 | 0.2.7.39 | 39.7.2.0 (39*71^3 + 7*71^2 + 2*71) | No |
These are the training products that have the "RANGE HOODS" tag (processing sequence 1925). 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 |
|---|---|---|---|---|---|---|---|
| 9125 | Zephyr Roma Pro Wall Mount Range Hood | 13994611 | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | none | 13993958 | none | |
| 9080 | Zephyr Anzio Island Range Hood | 13993958 | 1500$ - 2000$ | 13993305 | none | ||
| 9057 | Zephyr Breeze II Under-Cabinet Range Hood | 5694 | Home & Garden > Household Appliances > Climate Control Appliances | none | 5041 | none | |
| 9062 | Zephyr Ravenna Island Range Hood | 5041 | 1500$ - 2000$ | 4388 | none | ||
| 9058 | Zephyr Breeze I Under-Cabinet Range Hood | 653 | Home & Garden > Household Appliances | none | 0 | none | |
| 9060 | Zephyr Siena Pro Island Range Hood | 653 | Home & Garden > Household Appliances | none | 0 | none | |
| 9045 | Zephyr Typhoon Under-Cabinet Range Hood | 653 | Home & Garden > Household Appliances | none | 0 | none | |
| 9046 | Zephyr Pyramid Under-Cabinet Range Hood | 653 | Home & Garden > Household Appliances | none | 0 | none | |
| 9049 | Zephyr Gust Under-Cabinet Range Hood | 653 | Home & Garden > Household Appliances | none | 0 | none | |
| 9056 | Zephyr Cyclone Under-Cabinet Range Hood | 653 | Home & Garden > Household Appliances | none | 0 | none | |
| 9093 | Zephyr Savona Wall Mount Range Hood | 653 | Home & Garden > Household Appliances | none | 0 | none | |
| 9094 | Zephyr Roma Wall Mount Range Hood | 653 | Home & Garden > Household Appliances | none | 0 | none | |
| 9124 | Zephyr Titan Island Range Hood | 653 | Home & Garden > Household Appliances | none | 0 | none | |
| 9139 | Zephyr Monsoon Connect Insert Range Hood | 653 | Home & Garden > Household Appliances | none | 0 | none | |
| 9141 | Zephyr Napoli Island Range Hood | 653 | Home & Garden > Household Appliances | none | 0 | none | |
| 9156 | Zephyr 36" Horizon Wall Mount Range Hood | 653 | Home & Garden > Household Appliances | none | 0 | none | |
| 9113 | Zephyr Lucé Wall Mounted Hood Vent | 0 | 1500$-2000$ | -653 | none | ||
| 9154 | Zephyr Milano Island Mount Range Hood | 0 | 1500$-2000$ | -653 | none | ||
| 9078 | Zephyr Modena Island Range Hood | 0 | 1500$ - 2000$ | -653 | none | ||
| 9153 | Zephyr 36" Milano Wall Mount Range Hood | 0 | 1500$-2000$ | -653 | none | ||
| 9115 | Zephyr Lift Downdraft Kitchen Vent | 0 | 1500$-2000$ | -653 | none | ||
| 9155 | Zephyr 36" Layers Wall Mount Range Hood | 0 | 1500$-2000$ | -653 | none | ||
| 9091 | Zephyr Siena Wall Energy Star Mount Range Hood | 0 | 1000$-1500$ | -653 | none | ||
| 9092 | Zephyr Siena Wall Mount Range Hood | 0 | 1000$-1500$ | -653 | none | ||
| 9157 | Zephyr 36" Mesa Wall Mount Range Hood | 0 | 1500$-2000$ | -653 | none | ||
| 9126 | Zephyr Roma Groove Wall Mount Range Hood | -103794190 | 1000$-1500$ | -103794843 | none | ||
| 9095 | Zephyr Ravenna Wall Mount Range Hood | -103799231 | 1000$-1500$ | -103799884 | none |