Fold 0 - Understanding why coefficient 653 was selected
Tag: GRAY
Selected Coefficient: 653
Taxonomy Path: 14.9
Taxonomy Name: Home & Garden > Household Appliances
Products with this tag: 76
Unique residual values tried: 15
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 | 11.130530 | 14.9 | 9.14 (9*71 + 14) | Home & Garden > Household Appliances | Yes |
| 5694 | 11.134126 | 14.9.1 | 1.9.14 (5041 + 9*71 + 14) | Home & Garden > Household Appliances > Climate Control Appliances | No |
| 103799884 | 11.134128 | 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 | 11.789129 | 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 | 11.790121 | 14.11 | 11.14 (11*71 + 14) | Home & Garden > Kitchen & Dining | No |
| 0 | 71.028367 | 0 | 0 (0) | No | |
| 5041 | 71.028566 | 0.0.1 | 1.0.0 (5041) | No | |
| -2797684 | 71.042452 | -0.70.57.7 | -7.57.70.0 (-(7*71^3 + 57*71^2 + 70*71)) | No | |
| -1411409 | 71.042452 | -0.70.66.3 | -3.66.70.0 (-(3*71^3 + 66*71^2 + 70*71)) | No | |
| -2928893 | 74.014085 | -1.1.13.8 | -8.13.1.1 (-(8*71^3 + 13*71^2 + 71 + 1)) | No | |
| 1063650 | 74.014085 | 70.70.68.2 | 2.68.70.70 (2*71^3 + 68*71^2 + 70*71 + 70) | No | |
| 125970272 | 75.000000 | 13.10.68.67.4 | 4.67.68.10.13 (4*71^4 + 67*71^3 + 68*71^2 + 10*71 + 13) | No | |
| 801662 | 75.000000 | 1.2.17.2 | 2.17.2.1 (2*71^3 + 17*71^2 + 2*71 + 1) | Apparel & Accessories > Clothing Accessories > Hats > Beanies | No |
| 1789409 | 75.000000 | 67.68.70.4 | 4.70.68.67 (4*71^3 + 70*71^2 + 68*71 + 67) | No | |
| -5857786 | 75.000000 | -2.2.26.16 | -16.26.2.2 (-(16*71^3 + 26*71^2 + 2*71 + 2)) | No |
These are the training products that have the "GRAY" tag (processing sequence 179). 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 | 125970272 | WHITE | 125969619 | none | ||
| 10005 | Summit SEH6624C 24" Wide Stainless Steel Wall-Mounted Range Hood | 103799884 | Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fans | none | 103799231 | 24 INCH | |
| 9872 | XtremeAir SP10 36" Stainless Steel 900 CFM 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 | |
| 9936 | KOBE Premium CH77SQ6-WM-XX 48" Stainless Steel 600 CFM Wall Mount Range Hood | 103799884 | Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fans | none | 103799231 | none | |
| 10024 | XtremeAir SP01-I 42" Stainless Steel Island Mount Range Hood | 103799884 | Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fans | none | 103799231 | none | |
| 9789 | XtremeAir Ultra Series UL13 36" Stainless Steel Under Cabinet Range Hood | 103799884 | Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fans | none | 103799231 | none | |
| 9957 | XtremeAir Pro-X Series PX06-W 30" Stainless Steel Wall Mounted Range Hood | 103799884 | Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fans | none | 103799231 | none | |
| 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 | |
| 9941 | KOBE Brillia ISX21 SQB-2 36" Stainless Steel 680 CFM Island Range Hood | 103799884 | Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fans | none | 103799231 | 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 | |
| 9945 | ZLINE 8656S 36" Stainless Steel 900 CFM Designer Series Wall Mount Range Hood | 13994611 | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | none | 13993958 | DUCTLESS OPTION RANGE HOODS | |
| 9809 | ZLINE 695-RD 40" Stainless Steel Remote Dual Blower Range Hood Insert | 13994611 | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | none | 13993958 | none | |
| 9810 | ZLINE 695-RD 34" Stainless Steel Remote Dual Blower Range Hood Insert | 13994611 | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | none | 13993958 | 33 INCH | |
| 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 | |
| 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 | |
| 9938 | KOBE Premium Mila CH77SQ6-XX 48" Stainless Steel 600 CFM Under Cabinet Range Hood | 13994611 | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | none | 13993958 | none | |
| 8718 | McLaren F1 Kid's Dynamic Sweatshirt - Youth Phantom | 1789409 | BLACK, KIDS | 1788756 | YOUTH, 2022 | ||
| 7219 | MAMA TRUCKER MESH | 1063650 | BLACK, MESH | 1062997 | CAP, ADJUSTABLE, EMBROIDERED | ||
| 8927 | McLaren F1 New Era Essential Cuff Pom Beanie- Papaya/Anthracite | 801662 | Apparel & Accessories > Clothing Accessories > Hats > Beanies | none | 801009 | WOMEN, ACCESSORIES, ADULT | |
| 9796 | XtremeAir Ultra Series UL11 36" Stainless Steel Under Cabinet Range Hood | 5694 | Home & Garden > Household Appliances > Climate Control Appliances | none | 5041 | none | |
| 9797 | XtremeAir Ultra Series UL11 30" Stainless Steel Under Cabinet Range Hood | 5694 | Home & Garden > Household Appliances > Climate Control Appliances | none | 5041 | none | |
| 10017 | Cosmo COS-24BIWCS 24" Stainless Steel 48-Bottle Wine Cooler | 5694 | Home & Garden > Household Appliances > Climate Control Appliances | none | 5041 | 24 INCH | |
| 9952 | XtremeAir Pro-X Series PX05-I 30" Stainless Steel Island Mount Range Hood | 5694 | Home & Garden > Household Appliances > Climate Control Appliances | none | 5041 | none | |
| 9953 | XtremeAir Pro-X Series PX15-W 42" Stainless Steel Wall Mounted Range Hood | 5694 | Home & Garden > Household Appliances > Climate Control Appliances | none | 5041 | none | |
| 9958 | XtremeAir Special Ultra SU11-U 30" Stainless Steel Under Cabinet 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 | |
| 10004 | XtremeAir PX02-W 30" Stainless Steel Wall Mount Range Hood | 5694 | Home & Garden > Household Appliances > Climate Control Appliances | none | 5041 | none | |
| 10030 | Thor Kitchen TWC2402 23" Stainless Steel 42 Bottle Built-in Wine Cooler | 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 | |
| 3867 | The Point Contact Transistor - The First Solid State Switch - Western Electric 2N110 | 5041 | TRANSISTOR | 4388 | none | ||
| 10010 | LaToscana LFS3318W 33" Silver Flax Reversible Apron Front Fireclay Sink | 795 | Home & Garden > Kitchen & Dining | none | 142 | 33 INCH, FIRECLAY SINKS | |
| 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 | |
| 9786 | XtremeAir Ultra Series UL10-U 30" Stainless Steel 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 | |
| 9799 | ZLINE 695 40" Stainless Steel Ducted Range Hood Insert | 653 | Home & Garden > Household Appliances | none | 0 | none | |
| 9811 | ZLINE 695-304-46 46".Stainless Steel Outdoor Ducted Range Hood Insert | 653 | Home & Garden > Household Appliances | none | 0 | 33 INCH | |
| 9839 | ZLINE KB-48 48" Stainless Steel Convertible Vent Wall Mount Range Hood | 653 | Home & Garden > Household Appliances | none | 0 | none | |
| 9857 | ZLINE KB-42 42" Stainless Steel Convertible Vent Wall Mount Range Hood | 653 | Home & Garden > Household Appliances | none | 0 | none | |
| 9858 | ZLINE KB-36 36" Stainless Steel Convertible Vent Wall Mount Range Hood | 653 | Home & Garden > Household Appliances | none | 0 | none | |
| 9859 | ZLINE KB-30 30" 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 | |
| 9880 | XtremeAir PX12 36" 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 | |
| 9882 | XtremeAir PX10 36" 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 | |
| 9928 | KOBE Premium IN26 SQB-1200-1 48" Stainless Steel 1200 CFM Built-In/Insert Range Hood | 653 | Home & Garden > Household Appliances | none | 0 | none | |
| 9929 | KOBE Premium IN26 SQB-1200-1 36" Stainless Steel 1200 CFM Built-In/Insert Range Hood | 653 | Home & Garden > Household Appliances | none | 0 | none | |
| 9937 | KOBE Premium CH77SQ6-WM-XX 36" Stainless Steel 600 CFM Wall Mount Range Hood | 653 | Home & Garden > Household Appliances | none | 0 | none | |
| 9940 | KOBE Brillia ISX21 SQB-2 42" Stainless Steel 680 CFM Island Range Hood | 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 | |
| 9949 | XtremeAir Pro-X Series PX06-I 42" Stainless Steel Island Range Hood | 653 | Home & Garden > Household Appliances | none | 0 | none | |
| 9954 | XtremeAir Pro-X Series PX15-W 36" Stainless Steel Wall Mounted Range Hood | 653 | Home & Garden > Household Appliances | none | 0 | none | |
| 9956 | XtremeAir Pro-X Series PX06-W 36" Stainless Steel Wall Mounted Range Hood | 653 | Home & Garden > Household Appliances | none | 0 | none | |
| 9964 | Cosmo COS-FDR225RHSS-G 22.5 cu. ft. Stainless Steel 4-Door French Door Refrigerator | 653 | Home & Garden > Household Appliances | none | 0 | none | |
| 9980 | KOBE Premium RA38 SQB-1 36" Stainless Steel 680 CFM Under Cabinet Range Hood | 653 | Home & Garden > Household Appliances | none | 0 | none | |
| 10001 | XtremeAir Ultra Series UL10 36" Stainless Steel 900 CFM Under Cabinet Range Hood | 653 | Home & Garden > Household Appliances | none | 0 | none | |
| 10003 | XtremeAir PX02-W 36" Stainless Steel Wall Mount Range Hood | 653 | Home & Garden > Household Appliances | none | 0 | none | |
| 10020 | Cosmo COS-GRP366 36" Stainless Steel Professional Style Gas Range | 653 | Home & Garden > Household Appliances | none | 0 | none | |
| 10022 | Cosmo COS-DIS6502 24" Stainless Steel Top Control Tall Built-In Dishwasher | 653 | Home & Garden > Household Appliances | none | 0 | 24 INCH | |
| 10026 | XtremeAir SP01-I 30" Stainless Steel Island Mount Range Hood | 653 | Home & Garden > Household Appliances | none | 0 | none | |
| 10028 | Thor Kitchen HRG4808U 48" Stainless Steel Professional Freestanding Gas Range | 653 | Home & Garden > Household Appliances | none | 0 | none | |
| 10035 | XtremeAir SP01-W36 36" Stainless Steel 900 CFM Wall Mounted Range Hood | 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 | |
| 10006 | Summit SEH1524 24" Wide Stainless Steel Wall-Mounted Range Hood | 653 | Home & Garden > Household Appliances | none | 0 | 24 INCH | |
| 10013 | Thor Kitchen HRE3601 36" Stainless Steel Professional Electric Range | 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 | |
| 10018 | Cosmo COS-668WRCS90 36" Stainless Steel Wall Mount Range Hood with Glass Canopy | 653 | Home & Garden > Household Appliances | none | 0 | none | |
| 8709 | McLaren F1 Women's Speedmark Logo T-Shirt - White | 0 | WHITE | -653 | WOMEN, 2022 | ||
| 5509 | Airbrush Pet Portrait With Blue Design | 0 | DESIGN, BLACK, PET | -653 | none | ||
| 8890 | Red Bull Racing F1 New Era Essential Beanie - Navy/Gray | -1411409 | NAVY | -1412062 | WOMEN, ACCESSORIES, ADULT | ||
| 1897 | Women's Unicorn Print Infinity Scarf | -2797684 | GREEN | -2798337 | SCARF | ||
| 5176 | Airbrush 1995 Crop Top And Jogger Set | -2928893 | BLACK, WHITE, JOGGERS | -2929546 | none | ||
| 1898 | Women's We Can Do It Unicorn T-Shirt | -5857786 | BLACK, WHITE, T-SHIRT | -5858439 | none |