Fold 1 - Understanding why coefficient 653 was selected
Tag: 30 INCH
Selected Coefficient: 653
Taxonomy Path: 14.9
Taxonomy Name: Home & Garden > Household Appliances
Products with this tag: 25
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? |
|---|---|---|---|---|---|
| 653 | 3.057727 | 14.9 | 9.14 (9*71 + 14) | Home & Garden > Household Appliances | Yes |
| 5694 | 3.058526 | 14.9.1 | 1.9.14 (5041 + 9*71 + 14) | Home & Garden > Household Appliances > Climate Control Appliances | No |
| 103799884 | 3.058534 | 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 |
| 13994611 | 3.253720 | 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 |
| 795 | 3.254116 | 14.11 | 11.14 (11*71 + 14) | Home & Garden > Kitchen & Dining | No |
| -2928098 | 22.000000 | -58.60.12.8 | -8.12.60.58 (-(8*71^3 + 12*71^2 + 60*71 + 58)) | No |
These are the training products that have the "30 INCH" tag (processing sequence 293). 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 |
|---|---|---|---|---|---|---|---|
| 9959 | XtremeAir Special Ultra SU10-U 30" Stainless Steel Under Cabinet Range Hood | 103799884 | Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fans | none | 103799231 | none | |
| 9873 | XtremeAir SP10 30" Stainless Steel 900 CFM Under Cabinet Range Hood | 103799884 | Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fans | none | 103799231 | none | |
| 9788 | XtremeAir UL02-W Ultra Series 30" Stainless Steel Wall Mount Range Hood | 13994611 | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | none | 13993958 | none | |
| 9955 | XtremeAir Pro-X Series PX15-W 30" Stainless Steel Wall Mounted Range Hood | 13994611 | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | none | 13993958 | none | |
| 10002 | XtremeAir Ultra Series UL10 30" Stainless Steel 900 CFM Under Cabinet Range Hood | 13994611 | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | none | 13993958 | none | |
| 9797 | XtremeAir Ultra Series UL11 30" Stainless Steel Under Cabinet Range Hood | 5694 | Home & Garden > Household Appliances > Climate Control Appliances | none | 5041 | none | |
| 10004 | XtremeAir PX02-W 30" Stainless Steel Wall Mount Range Hood | 5694 | Home & Garden > Household Appliances > Climate Control Appliances | none | 5041 | none | |
| 9960 | Cosmo COS-668WRCS75 30" Stainless Steel Ducted Wall Mount Range Hood | 5694 | Home & Garden > Household Appliances > Climate Control Appliances | none | 5041 | none | |
| 9890 | XtremeAir PX10 30" Stainless Steel 900 CFM Under Cabinet Range Hood | 5694 | Home & Garden > Household Appliances > Climate Control Appliances | none | 5041 | none | |
| 9951 | XtremeAir Pro-X Series PX06-I 30" Stainless Steel Island Range Hood | 5694 | Home & Garden > Household Appliances > Climate Control Appliances | none | 5041 | ISLAND RANGE HOODS | |
| 9869 | Latoscana LFS3018SF 30" Silver Flax Reversible Apron Front Fireclay Sink | 795 | Home & Garden > Kitchen & Dining | none | 142 | FIRECLAY SINKS | |
| 10037 | XtremeAir PX10-U367 36" Stainless Steel 900 CFM Under Cabinet Range Hood | 653 | Home & Garden > Household Appliances | none | 0 | none | |
| 9790 | XtremeAir Ultra Series UL13 30" Stainless Steel Under Cabinet Range Hood | 653 | Home & Garden > Household Appliances | none | 0 | none | |
| 9838 | ZLINE BSKBN-30 30" Black Stainless Steel Convertible Vent Wall Mount Range Hood | 653 | Home & Garden > Household Appliances | none | 0 | none | |
| 9867 | XtremeAir PX10-U307 30" Stainless Steel 900 CFM Under Cabinet Range Hood | 653 | Home & Garden > Household Appliances | none | 0 | none | |
| 9881 | XtremeAir PX12 30" Stainless Steel 900 CFM Under Cabinet Range Hood | 653 | Home & Garden > Household Appliances | none | 0 | none | |
| 9901 | Cosmo COS-305AERC 30" Stainless Steel Electric Range with Convection Oven | 653 | Home & Garden > Household Appliances | none | 0 | none | |
| 9946 | Cosmo COS-63175 30" Stainless Steel Wall Mount Range Hood | 653 | Home & Garden > Household Appliances | none | 0 | none | |
| 9948 | Cosmo COS-668WRC75 30" Stainless Steel Wall Mount Range Hood with Glass Canopy | 653 | Home & Garden > Household Appliances | none | 0 | none | |
| 10014 | Thor Kitchen HRE3001 30" Stainless Steel Professional Electric Range | 653 | Home & Garden > Household Appliances | none | 0 | none | |
| 10036 | XtremeAir SP01-W30 30" Stainless Steel 900 CFM Wall Mounted Range Hood | 653 | Home & Garden > Household Appliances | none | 0 | none | |
| 9786 | XtremeAir Ultra Series UL10-U 30" Stainless Steel Under Cabinet Range Hood | 653 | Home & Garden > Household Appliances | none | 0 | none | |
| 9870 | Latoscana LFS3018W 30" White Reversible Apron Front Fireclay Sink | -2928098 | WHITE | -2928751 | FIRECLAY SINKS | ||
| 9868 | Latoscana LTW3019W 30" White Reversible Apron Front Fireclay Sink | -2928098 | WHITE | -2928751 | FIRECLAY SINKS | ||
| 10015 | Latoscana LUM3019W 30'' White Single Bowl Undermount or Drop-in Fireclay Sink | -2928098 | WHITE | -2928751 | FIRECLAY SINKS |