Fold 3 - Understanding why coefficient 725 was selected
Tag: STAINLESS STEEL RANGE HOODS
Selected Coefficient: 725
Taxonomy Path: 14.9
Taxonomy Name: Home & Garden > Household Appliances
Products with this tag: 48
Unique residual values tried: 10
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 | 25.039417 | 14.9 | 9.14 (9*79 + 14) | Home & Garden > Household Appliances | Yes |
| 6966 | 25.039743 | 14.9.1 | 1.9.14 (6241 + 9*79 + 14) | Home & Garden > Household Appliances > Climate Control Appliances | No |
| 158765524 | 25.039749 | 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 | 25.253165 | 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 | 28.051274 | 0 | 0 (0) | No | |
| 6241 | 28.052560 | 0.0.1 | 1.0.0 (6241) | No | |
| 158764799 | 28.052560 | 0.0.1.6.4 | 4.6.1.0.0 (4*79^4 + 6*79^3 + 6241) | No | |
| 19272366 | 28.202532 | 0.2.7.39 | 39.7.2.0 (39*79^3 + 7*79^2 + 2*79) | No | |
| -725 | 44.000000 | -14.9 | -9.14 (-(9*79 + 14)) | No | |
| -1450 | 47.000000 | -28.18 | -18.28 (-(18*79 + 28)) | No |
These are the training products that have the "STAINLESS STEEL RANGE HOODS" tag (processing sequence 2780). 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 | 158765524 | Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fans | none | 158764799 | none | |
| 9957 | XtremeAir Pro-X Series PX06-W 30" Stainless Steel Wall Mounted Range Hood | 158765524 | Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fans | none | 158764799 | none | |
| 9873 | XtremeAir SP10 30" Stainless Steel 900 CFM Under Cabinet Range Hood | 158765524 | Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fans | none | 158764799 | none | |
| 9789 | XtremeAir Ultra Series UL13 36" Stainless Steel Under Cabinet Range Hood | 158764799 | 36" RANGE HOODS | 158764074 | none | ||
| 9936 | KOBE Premium CH77SQ6-WM-XX 48" Stainless Steel 600 CFM Wall Mount Range Hood | 158764799 | TOP RATED | 158764074 | 48 INCH | ||
| 9938 | KOBE Premium Mila CH77SQ6-XX 48" Stainless Steel 600 CFM Under Cabinet Range Hood | 19273091 | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | none | 19272366 | 48 INCH | |
| 9955 | XtremeAir Pro-X Series PX15-W 30" Stainless Steel Wall Mounted Range Hood | 19273091 | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | none | 19272366 | none | |
| 9788 | XtremeAir UL02-W Ultra Series 30" Stainless Steel Wall Mount Range Hood | 19273091 | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | none | 19272366 | none | |
| 9809 | ZLINE 695-RD 40" Stainless Steel Remote Dual Blower Range Hood Insert | 19272366 | 40 INCH, ZLINE, TOP RATED, INSERT RANGE HOODS | 19271641 | none | ||
| 9939 | KOBE Premium Mila CH77SQ6-XX 36" Stainless Steel 600 CFM Under Cabinet Range Hood | 19272366 | 36" RANGE HOODS | 19271641 | none | ||
| 9945 | ZLINE 8656S 36" Stainless Steel 900 CFM Designer Series Wall Mount Range Hood | 19272366 | 36" RANGE HOODS | 19271641 | none | ||
| 10025 | XtremeAir SP01-I 36" Stainless Steel Island Mount Range Hood | 19272366 | 36" RANGE HOODS | 19271641 | ISLAND RANGE HOODS | ||
| 10004 | XtremeAir PX02-W 30" Stainless Steel Wall Mount Range Hood | 6966 | Home & Garden > Household Appliances > Climate Control Appliances | none | 6241 | none | |
| 9951 | XtremeAir Pro-X Series PX06-I 30" Stainless Steel Island Range Hood | 6966 | Home & Garden > Household Appliances > Climate Control Appliances | none | 6241 | ISLAND RANGE HOODS | |
| 9960 | Cosmo COS-668WRCS75 30" Stainless Steel Ducted Wall Mount Range Hood | 6966 | Home & Garden > Household Appliances > Climate Control Appliances | none | 6241 | none | |
| 9797 | XtremeAir Ultra Series UL11 30" Stainless Steel Under Cabinet Range Hood | 6966 | Home & Garden > Household Appliances > Climate Control Appliances | none | 6241 | none | |
| 9953 | XtremeAir Pro-X Series PX15-W 42" Stainless Steel Wall Mounted Range Hood | 6966 | Home & Garden > Household Appliances > Climate Control Appliances | none | 6241 | none | |
| 9890 | XtremeAir PX10 30" Stainless Steel 900 CFM Under Cabinet Range Hood | 6966 | Home & Garden > Household Appliances > Climate Control Appliances | none | 6241 | none | |
| 9950 | XtremeAir Pro-X Series PX06-I 36" Stainless Steel Island Range Hood | 6241 | 36" RANGE HOODS | 5516 | ISLAND RANGE HOODS | ||
| 9796 | XtremeAir Ultra Series UL11 36" Stainless Steel Under Cabinet Range Hood | 6241 | 36" RANGE HOODS | 5516 | none | ||
| 10037 | XtremeAir PX10-U367 36" Stainless Steel 900 CFM Under Cabinet Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | none | |
| 9786 | XtremeAir Ultra Series UL10-U 30" Stainless Steel Under Cabinet Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | none | |
| 9790 | XtremeAir Ultra Series UL13 30" Stainless Steel Under Cabinet Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | none | |
| 9808 | ZLINE 695 34" Stainless Steel Ducted Range Hood Insert | 725 | Home & Garden > Household Appliances | RANGE HOOD INSERTS, ZLINE, INSERT RANGE HOODS | 0 | none | |
| 9867 | XtremeAir PX10-U307 30" Stainless Steel 900 CFM Under Cabinet Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | none | |
| 9881 | XtremeAir PX12 30" Stainless Steel 900 CFM Under Cabinet Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | none | |
| 9946 | Cosmo COS-63175 30" Stainless Steel Wall Mount Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | none | |
| 9948 | Cosmo COS-668WRC75 30" Stainless Steel Wall Mount Range Hood with Glass Canopy | 725 | Home & Garden > Household Appliances | none | 0 | none | |
| 10006 | Summit SEH1524 24" Wide Stainless Steel Wall-Mounted Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | none | |
| 10026 | XtremeAir SP01-I 30" Stainless Steel Island Mount Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | ISLAND RANGE HOODS | |
| 10036 | XtremeAir SP01-W30 30" Stainless Steel 900 CFM Wall Mounted Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | none | |
| 9954 | XtremeAir Pro-X Series PX15-W 36" Stainless Steel Wall Mounted Range Hood | 0 | 36" RANGE HOODS | -725 | none | ||
| 9928 | KOBE Premium IN26 SQB-1200-1 48" Stainless Steel 1200 CFM Built-In/Insert Range Hood | 0 | RANGE HOOD INSERTS | -725 | 48 INCH | ||
| 9956 | XtremeAir Pro-X Series PX06-W 36" Stainless Steel Wall Mounted Range Hood | 0 | 36" RANGE HOODS | -725 | none | ||
| 9882 | XtremeAir PX10 36" Stainless Steel 900 CFM Under Cabinet Range Hood | 0 | 36" RANGE HOODS | -725 | none | ||
| 9880 | XtremeAir PX12 36" Stainless Steel 900 CFM Under Cabinet Range Hood | 0 | 36" RANGE HOODS | -725 | none | ||
| 10035 | XtremeAir SP01-W36 36" Stainless Steel 900 CFM Wall Mounted Range Hood | 0 | 36" RANGE HOODS | -725 | none | ||
| 10018 | Cosmo COS-668WRCS90 36" Stainless Steel Wall Mount Range Hood with Glass Canopy | 0 | 36" RANGE HOODS | -725 | none | ||
| 9787 | XtremeAir UL02-W Ultra Series 36" Stainless Steel Wall Mount Range Hood | 0 | 36" RANGE HOODS | -725 | none | ||
| 9785 | XtremeAir Ultra Series UL10-U 36" Stainless Steel Under Cabinet Range Hood | 0 | 36" RANGE HOODS | -725 | none | ||
| 9949 | XtremeAir Pro-X Series PX06-I 42" Stainless Steel Island Range Hood | 0 | 40 INCH | -725 | ISLAND RANGE HOODS | ||
| 10001 | XtremeAir Ultra Series UL10 36" Stainless Steel 900 CFM Under Cabinet Range Hood | 0 | 36" RANGE HOODS | -725 | none | ||
| 9799 | ZLINE 695 40" Stainless Steel Ducted Range Hood Insert | 0 | RANGE HOOD INSERTS, 40 INCH, ZLINE, INSERT RANGE HOODS | -725 | none | ||
| 9979 | KOBE Premium RA3836SQB 36" Stainless Steel 750 CFM Wall Mount Range Hood | -725 | TOP RATED, 36" RANGE HOODS | -1450 | none | ||
| 9980 | KOBE Premium RA38 SQB-1 36" Stainless Steel 680 CFM Under Cabinet Range Hood | -725 | TOP RATED, 36" RANGE HOODS | -1450 | none | ||
| 9929 | KOBE Premium IN26 SQB-1200-1 36" Stainless Steel 1200 CFM Built-In/Insert Range Hood | -725 | RANGE HOOD INSERTS, 36" RANGE HOODS | -1450 | none | ||
| 9940 | KOBE Brillia ISX21 SQB-2 42" Stainless Steel 680 CFM Island Range Hood | -725 | 40 INCH, TOP RATED | -1450 | ISLAND RANGE HOODS | ||
| 9858 | ZLINE KB-36 36" Stainless Steel Convertible Vent Wall Mount Range Hood | -1450 | ZLINE SALE, TOP RATED, 36" RANGE HOODS | -2175 | none |