Fold 4 - 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: 73
Unique residual values tried: 16
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 | 13.115652 | 14.9 | 9.14 (9*71 + 14) | Home & Garden > Household Appliances | Yes |
| 5694 | 13.120027 | 14.9.1 | 1.9.14 (5041 + 9*71 + 14) | Home & Garden > Household Appliances > Climate Control Appliances | No |
| 103799884 | 13.120047 | 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 | 13.732791 | 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 | 13.733585 | 14.11 | 11.14 (11*71 + 14) | Home & Garden > Kitchen & Dining | No |
| 0 | 68.014283 | 0 | 0 (0) | No | |
| 5041 | 68.014680 | 0.0.1 | 1.0.0 (5041) | No | |
| -1411409 | 68.056338 | -0.70.66.3 | -3.66.70.0 (-(3*71^3 + 66*71^2 + 70*71)) | No | |
| 801662 | 71.014085 | 1.2.17.2 | 2.17.2.1 (2*71^3 + 17*71^2 + 2*71 + 1) | Apparel & Accessories > Clothing Accessories > Hats > Beanies | No |
| 2928893 | 71.014085 | 1.1.13.8 | 8.13.1.1 (8*71^3 + 13*71^2 + 71 + 1) | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | No |
| 125970272 | 72.000000 | 13.10.68.67.4 | 4.67.68.10.13 (4*71^4 + 67*71^3 + 68*71^2 + 10*71 + 13) | No | |
| -7289430 | 72.000000 | -2.2.26.20 | -20.26.2.2 (-(20*71^3 + 26*71^2 + 2*71 + 2)) | No | |
| -7158221 | 72.000000 | -1.0.0.20 | -20.0.0.1 (-(20*71^3 + 1)) | No | |
| -2928674 | 72.000000 | -66.68.12.8 | -8.12.68.66 (-(8*71^3 + 12*71^2 + 68*71 + 66)) | No | |
| 2187506 | 72.000000 | 67.66.7.6 | 6.7.66.67 (6*71^3 + 7*71^2 + 66*71 + 67) | No | |
| -10218323 | 72.000000 | -3.3.39.28 | -28.39.3.3 (-(28*71^3 + 39*71^2 + 3*71 + 3)) | No |
These are the training products that have the "GRAY" tag (processing sequence 175). 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 | ||
| 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 | |
| 10005 | Summit SEH6624C 24" Wide Stainless Steel Wall-Mounted 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 | 30" RANGE HOODS | |
| 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 | 30" RANGE HOODS | |
| 9812 | ZLINE 6695-304-34 34".Stainless Steel Outdoor Ducted Range Hood Insert | 13994611 | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | none | 13993958 | 33 INCH | |
| 10025 | XtremeAir SP01-I 36" Stainless Steel Island Mount Range Hood | 13994611 | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | none | 13993958 | 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 | 30" RANGE HOODS | |
| 9939 | KOBE Premium Mila CH77SQ6-XX 36" Stainless Steel 600 CFM Under Cabinet Range Hood | 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 | |
| 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 | 30" RANGE HOODS | |
| 7108 | BARN HAIR DON'T CARE TRUCKER MESH | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | MESH, CAP | 2928240 | ADJUSTABLE, EMBROIDERED, HAIR | |
| 8718 | McLaren F1 Kid's Dynamic Sweatshirt - Youth Phantom | 2187506 | BLUE, BLACK, KIDS, 2022 | 2186853 | FANWEAR | ||
| 8927 | McLaren F1 New Era Essential Cuff Pom Beanie- Papaya/Anthracite | 801662 | Apparel & Accessories > Clothing Accessories > Hats > Beanies | none | 801009 | ADULT, FANWEAR | |
| 9951 | XtremeAir Pro-X Series PX06-I 30" Stainless Steel Island Range Hood | 5694 | Home & Garden > Household Appliances > Climate Control Appliances | none | 5041 | 30" RANGE HOODS | |
| 9890 | XtremeAir PX10 30" Stainless Steel 900 CFM Under Cabinet Range Hood | 5694 | Home & Garden > Household Appliances > Climate Control Appliances | none | 5041 | 30" RANGE HOODS | |
| 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 | 30" RANGE HOODS | |
| 9950 | XtremeAir Pro-X Series PX06-I 36" Stainless Steel Island 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 | |
| 9952 | XtremeAir Pro-X Series PX05-I 30" Stainless Steel Island Mount Range Hood | 5694 | Home & Garden > Household Appliances > Climate Control Appliances | none | 5041 | 30" RANGE HOODS | |
| 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 | 30" RANGE HOODS | |
| 9960 | Cosmo COS-668WRCS75 30" Stainless Steel Ducted Wall Mount Range Hood | 5694 | Home & Garden > Household Appliances > Climate Control Appliances | none | 5041 | 30" RANGE HOODS | |
| 10004 | XtremeAir PX02-W 30" Stainless Steel Wall Mount Range Hood | 5694 | Home & Garden > Household Appliances > Climate Control Appliances | none | 5041 | 30" RANGE HOODS | |
| 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 | 30" RANGE HOODS | |
| 9785 | XtremeAir Ultra Series UL10-U 36" Stainless Steel 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 | 30" RANGE HOODS | |
| 9787 | XtremeAir UL02-W Ultra Series 36" Stainless Steel Wall Mount 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 | 30" RANGE HOODS | |
| 9798 | ZLINE 695 46" Stainless Steel Ducted Range Hood Insert | 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 | |
| 9808 | ZLINE 695 34" Stainless Steel Ducted Range Hood Insert | 653 | Home & Garden > Household Appliances | none | 0 | 33 INCH | |
| 9811 | ZLINE 695-304-46 46".Stainless Steel Outdoor Ducted Range Hood Insert | 653 | Home & Garden > Household Appliances | none | 0 | 33 INCH | |
| 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 | 30" RANGE HOODS | |
| 9867 | XtremeAir PX10-U307 30" Stainless Steel 900 CFM Under Cabinet Range Hood | 653 | Home & Garden > Household Appliances | none | 0 | 30" RANGE HOODS | |
| 9880 | XtremeAir PX12 36" 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 | |
| 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 | 30" RANGE HOODS | |
| 9947 | Cosmo COS-244AGC 24" Stainless Steel Freestanding Compact Gas Range | 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 | |
| 9964 | Cosmo COS-FDR225RHSS-G 22.5 cu. ft. Stainless Steel 4-Door French Door Refrigerator | 653 | Home & Garden > Household Appliances | none | 0 | none | |
| 9979 | KOBE Premium RA3836SQB 36" Stainless Steel 750 CFM Wall Mount 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 | |
| 10019 | Cosmo COS-GRP486G 48" Stainless Steel Professional Style Double Oven Gas Range | 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 | none | |
| 10026 | XtremeAir SP01-I 30" Stainless Steel Island Mount Range Hood | 653 | Home & Garden > Household Appliances | none | 0 | 30" RANGE HOODS | |
| 10027 | Thor Kitchen HRE2401 24" Stainless Steel Professional Electric Range | 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 | 30" RANGE HOODS | |
| 10003 | XtremeAir PX02-W 36" Stainless Steel Wall Mount 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 | none | |
| 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 | |
| 5509 | Airbrush Pet Portrait With Blue Design | 0 | DESIGN, BLUE, BLACK, PET | -653 | PUPPY | ||
| 7219 | MAMA TRUCKER MESH | 0 | BLACK, MESH, CAP | -653 | ADJUSTABLE, EMBROIDERED | ||
| 7205 | I LOVE MY DOG TRUCKER MESH CAP | 0 | BLACK, MESH, CAP | -653 | ADJUSTABLE, EMBROIDERED, HAIR | ||
| 8890 | Red Bull Racing F1 New Era Essential Beanie - Navy/Gray | -1411409 | NAVY | -1412062 | ADULT, FANWEAR | ||
| 5444 | Cable Concepts Alarm Cable 22 AWG, 4 C. FT4/CSA, 1000 Ft | -2928674 | WHITE | -2929327 | none | ||
| 1897 | Women's Unicorn Print Infinity Scarf | -7158221 | BLUE, GREEN | -7158874 | SCARF | ||
| 5176 | Airbrush 1995 Crop Top And Jogger Set | -7289430 | BLUE, BLACK, WHITE, JOGGERS | -7290083 | none | ||
| 1898 | Women's We Can Do It Unicorn T-Shirt | -10218323 | BLUE, BLACK, WHITE, T-SHIRT | -10218976 | none |