Fold 3 - Understanding why coefficient 725 was selected
Tag: GRAY
Selected Coefficient: 725
Taxonomy Path: 14.9
Taxonomy Name: Home & Garden > Household Appliances
Products with this tag: 78
Unique residual values tried: 14
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 | 11.142285 | 14.9 | 9.14 (9*79 + 14) | Home & Garden > Household Appliances | Yes |
| 6966 | 11.145187 | 14.9.1 | 1.9.14 (6241 + 9*79 + 14) | Home & Garden > Household Appliances > Climate Control Appliances | No |
| 158765524 | 11.145189 | 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 | 11.709341 | 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 |
| 883 | 11.710303 | 14.11 | 11.14 (11*79 + 14) | Home & Garden > Kitchen & Dining | No |
| 197278893 | 11.710463 | 14.11.10.5.5 | 5.5.10.11.14 (5*79^4 + 5*79^3 + 10*79^2 + 11*79 + 14) | Home & Garden > Kitchen & Dining > Tableware > Drinkware > Mugs | No |
| -1516643 | 74.000160 | -1.1.6.3 | -3.6.1.1 (-(3*79^3 + 6*79^2 + 79 + 1)) | No | |
| -1098496 | 74.000481 | -1.1.18.2 | -2.18.1.1 (-(2*79^3 + 18*79^2 + 79 + 1)) | No | |
| 0 | 74.012660 | 0 | 0 (0) | No | |
| -1972156 | 74.012662 | -0.0.0.4 | -4.0.0.0 (-(4*79^3)) | No | |
| -499201 | 74.037975 | -0.78.0.1 | -1.0.78.0 (-(493039 + 78*79)) | No | |
| -10023206 | 77.000000 | -2.2.26.20 | -20.26.2.2 (-(20*79^3 + 26*79^2 + 2*79 + 2)) | No | |
| -24801 | 77.000000 | -74.76.3 | -3.76.74 (-(3*79^2 + 76*79 + 74)) | No | |
| 1092334 | 77.000000 | 1.2.17.2 | 2.17.2.1 (2*79^3 + 17*79^2 + 2*79 + 1) | Apparel & Accessories > Clothing Accessories > Hats > Beanies | No |
These are the training products that have the "GRAY" tag (processing sequence 182). 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 |
|---|---|---|---|---|---|---|---|
| 9983 | Porcelain Tea Mug With Infuser & Lid | 197278893 | Home & Garden > Kitchen & Dining > Tableware > Drinkware > Mugs | none | 197278168 | none | |
| 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 | 30" RANGE HOODS | |
| 10005 | Summit SEH6624C 24" Wide Stainless Steel Wall-Mounted Range Hood | 158765524 | Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fans | none | 158764799 | none | |
| 9872 | XtremeAir SP10 36" Stainless Steel 900 CFM 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 | 30" RANGE HOODS | |
| 9936 | KOBE Premium CH77SQ6-WM-XX 48" Stainless Steel 600 CFM Wall Mount 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 | 158765524 | Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fans | none | 158764799 | none | |
| 10024 | XtremeAir SP01-I 42" Stainless Steel Island Mount 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 | 30" RANGE HOODS | |
| 9941 | KOBE Brillia ISX21 SQB-2 36" Stainless Steel 680 CFM Island Range Hood | 158765524 | Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fans | none | 158764799 | 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 | 30" RANGE HOODS | |
| 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 | none | |
| 9939 | KOBE Premium Mila CH77SQ6-XX 36" Stainless Steel 600 CFM Under Cabinet Range Hood | 19273091 | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | none | 19272366 | none | |
| 9945 | ZLINE 8656S 36" Stainless Steel 900 CFM Designer Series Wall Mount Range Hood | 19273091 | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | none | 19272366 | DUCTLESS OPTION RANGE HOODS | |
| 9809 | ZLINE 695-RD 40" Stainless Steel Remote Dual Blower Range Hood Insert | 19273091 | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | none | 19272366 | none | |
| 9810 | ZLINE 695-RD 34" Stainless Steel Remote Dual Blower Range Hood Insert | 19273091 | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | none | 19272366 | 33 INCH | |
| 10002 | XtremeAir Ultra Series UL10 30" Stainless Steel 900 CFM Under Cabinet Range Hood | 19273091 | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | none | 19272366 | 30" RANGE HOODS | |
| 10025 | XtremeAir SP01-I 36" Stainless Steel Island Mount Range Hood | 19273091 | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | none | 19272366 | none | |
| 8890 | Red Bull Racing F1 New Era Essential Beanie - Navy/Gray | 1092334 | Apparel & Accessories > Clothing Accessories > Hats > Beanies | none | 1091609 | FANWEAR | |
| 9950 | XtremeAir Pro-X Series PX06-I 36" Stainless Steel Island Range Hood | 6966 | Home & Garden > Household Appliances > Climate Control Appliances | none | 6241 | none | |
| 9958 | XtremeAir Special Ultra SU11-U 30" Stainless Steel Under Cabinet Range Hood | 6966 | Home & Garden > Household Appliances > Climate Control Appliances | none | 6241 | 30" RANGE HOODS | |
| 9960 | Cosmo COS-668WRCS75 30" Stainless Steel Ducted Wall Mount Range Hood | 6966 | Home & Garden > Household Appliances > Climate Control Appliances | none | 6241 | 30" RANGE HOODS | |
| 9796 | XtremeAir Ultra Series UL11 36" Stainless Steel Under Cabinet Range Hood | 6966 | Home & Garden > Household Appliances > Climate Control Appliances | none | 6241 | none | |
| 9952 | XtremeAir Pro-X Series PX05-I 30" Stainless Steel Island Mount Range Hood | 6966 | Home & Garden > Household Appliances > Climate Control Appliances | none | 6241 | 30" RANGE HOODS | |
| 10017 | Cosmo COS-24BIWCS 24" Stainless Steel 48-Bottle Wine Cooler | 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 | 30" RANGE HOODS | |
| 10030 | Thor Kitchen TWC2402 23" Stainless Steel 42 Bottle Built-in Wine Cooler | 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 | 30" RANGE HOODS | |
| 9951 | XtremeAir Pro-X Series PX06-I 30" Stainless Steel Island Range Hood | 6966 | Home & Garden > Household Appliances > Climate Control Appliances | none | 6241 | 30" RANGE HOODS | |
| 10010 | LaToscana LFS3318W 33" Silver Flax Reversible Apron Front Fireclay Sink | 883 | Home & Garden > Kitchen & Dining | none | 158 | 33 INCH, FIRECLAY SINKS | |
| 9869 | Latoscana LFS3018SF 30" Silver Flax Reversible Apron Front Fireclay Sink | 883 | Home & Garden > Kitchen & Dining | none | 158 | FIRECLAY SINKS | |
| 10020 | Cosmo COS-GRP366 36" Stainless Steel Professional Style Gas Range | 725 | Home & Garden > Household Appliances | none | 0 | none | |
| 9785 | XtremeAir Ultra Series UL10-U 36" Stainless Steel 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 | 30" RANGE HOODS | |
| 9787 | XtremeAir UL02-W Ultra Series 36" Stainless Steel Wall Mount 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 | 30" RANGE HOODS | |
| 9798 | ZLINE 695 46" Stainless Steel Ducted Range Hood Insert | 725 | Home & Garden > Household Appliances | none | 0 | none | |
| 9799 | ZLINE 695 40" Stainless Steel Ducted Range Hood Insert | 725 | Home & Garden > Household Appliances | none | 0 | none | |
| 9839 | ZLINE KB-48 48" Stainless Steel Convertible Vent Wall Mount Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | none | |
| 9857 | ZLINE KB-42 42" Stainless Steel Convertible Vent Wall Mount Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | none | |
| 9858 | ZLINE KB-36 36" Stainless Steel Convertible Vent Wall Mount Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | none | |
| 9859 | ZLINE KB-30 30" Stainless Steel Convertible Vent Wall Mount Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | 30" RANGE HOODS | |
| 9867 | XtremeAir PX10-U307 30" Stainless Steel 900 CFM Under Cabinet Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | 30" RANGE HOODS | |
| 9880 | XtremeAir PX12 36" 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 | 30" RANGE HOODS | |
| 9882 | XtremeAir PX10 36" Stainless Steel 900 CFM Under Cabinet Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | none | |
| 9928 | KOBE Premium IN26 SQB-1200-1 48" Stainless Steel 1200 CFM Built-In/Insert Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | none | |
| 9929 | KOBE Premium IN26 SQB-1200-1 36" Stainless Steel 1200 CFM Built-In/Insert Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | none | |
| 9937 | KOBE Premium CH77SQ6-WM-XX 36" Stainless Steel 600 CFM Wall Mount Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | none | |
| 9947 | Cosmo COS-244AGC 24" Stainless Steel Freestanding Compact Gas Range | 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 | 30" RANGE HOODS | |
| 9949 | XtremeAir Pro-X Series PX06-I 42" Stainless Steel Island Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | none | |
| 9954 | XtremeAir Pro-X Series PX15-W 36" Stainless Steel Wall Mounted Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | none | |
| 9956 | XtremeAir Pro-X Series PX06-W 36" Stainless Steel Wall Mounted Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | none | |
| 9964 | Cosmo COS-FDR225RHSS-G 22.5 cu. ft. Stainless Steel 4-Door French Door Refrigerator | 725 | Home & Garden > Household Appliances | none | 0 | none | |
| 9979 | KOBE Premium RA3836SQB 36" Stainless Steel 750 CFM Wall Mount Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | none | |
| 9980 | KOBE Premium RA38 SQB-1 36" Stainless Steel 680 CFM Under Cabinet Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | none | |
| 10003 | XtremeAir PX02-W 36" Stainless Steel Wall Mount Range Hood | 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 | |
| 10013 | Thor Kitchen HRE3601 36" Stainless Steel Professional Electric Range | 725 | Home & Garden > Household Appliances | none | 0 | none | |
| 10014 | Thor Kitchen HRE3001 30" Stainless Steel Professional Electric Range | 725 | Home & Garden > Household Appliances | none | 0 | none | |
| 10018 | Cosmo COS-668WRCS90 36" Stainless Steel Wall Mount Range Hood with Glass Canopy | 725 | Home & Garden > Household Appliances | none | 0 | none | |
| 10022 | Cosmo COS-DIS6502 24" Stainless Steel Top Control Tall Built-In Dishwasher | 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 | 30" RANGE HOODS | |
| 10027 | Thor Kitchen HRE2401 24" Stainless Steel Professional Electric Range | 725 | Home & Garden > Household Appliances | none | 0 | none | |
| 10028 | Thor Kitchen HRG4808U 48" Stainless Steel Professional Freestanding Gas Range | 725 | Home & Garden > Household Appliances | none | 0 | none | |
| 10036 | XtremeAir SP01-W30 30" Stainless Steel 900 CFM Wall Mounted Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | 30" RANGE HOODS | |
| 10001 | XtremeAir Ultra Series UL10 36" Stainless Steel 900 CFM Under Cabinet Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | none | |
| 5509 | Airbrush Pet Portrait With Blue Design | 0 | DESIGN, BLUE, BOX | -725 | TEAL | ||
| 14434 | Dragonfly Bow Tie - Yellow on Gray, Woven Silk | 0 | WOVEN SILK | -725 | none | ||
| 5444 | Cable Concepts Alarm Cable 22 AWG, 4 C. FT4/CSA, 1000 Ft | -24801 | BROWN | -25526 | none | ||
| 8927 | McLaren F1 New Era Essential Cuff Pom Beanie- Papaya/Anthracite | -499201 | ORANGE | -499926 | FANWEAR | ||
| 8718 | McLaren F1 Kid's Dynamic Sweatshirt - Youth Phantom | -1098496 | ORANGE, BLUE | -1099221 | YOUTH, 2022, FANWEAR | ||
| 7108 | BARN HAIR DON'T CARE TRUCKER MESH | -1516643 | CAP, MESH | -1517368 | ADJUSTABLE, EMBROIDERED, HAIR | ||
| 7219 | MAMA TRUCKER MESH | -1516643 | CAP, MESH | -1517368 | ADJUSTABLE, EMBROIDERED | ||
| 7205 | I LOVE MY DOG TRUCKER MESH CAP | -1516643 | CAP, MESH | -1517368 | ADJUSTABLE, EMBROIDERED, HAIR | ||
| 1898 | Women's We Can Do It Unicorn T-Shirt | -1972156 | BLUE | -1972881 | T-SHIRT | ||
| 1897 | Women's Unicorn Print Infinity Scarf | -10023206 | SCARF, GREEN, BLUE | -10023931 | CLOTHING, USA |