Fold 0 - 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: 73
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 | 12.128986 | 14.9 | 9.14 (9*79 + 14) | Home & Garden > Household Appliances | Yes |
| 6966 | 12.132365 | 14.9.1 | 1.9.14 (6241 + 9*79 + 14) | Home & Garden > Household Appliances > Climate Control Appliances | No |
| 158765524 | 12.132367 | 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 | 12.645890 | 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 | 12.646851 | 14.11 | 11.14 (11*79 + 14) | Home & Garden > Kitchen & Dining | No |
| 0 | 68.025477 | 0 | 0 (0) | No | |
| 4899185 | 68.025637 | 0.0.74.9 | 9.74.0.0 (9*79^3 + 74*79^2) | No | |
| -499201 | 68.038135 | -0.78.0.1 | -1.0.78.0 (-(493039 + 78*79)) | No | |
| -4905347 | 68.038135 | -0.78.74.9 | -9.74.78.0 (-(9*79^3 + 74*79^2 + 78*79)) | No | |
| 4025525 | 70.000002 | 1.1.13.8 | 8.13.1.1 (8*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | No |
| 5997681 | 70.000004 | 1.1.13.12 | 12.13.1.1 (12*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | No |
| -1516643 | 70.000160 | -1.1.6.3 | -3.6.1.1 (-(3*79^3 + 6*79^2 + 79 + 1)) | No | |
| -4025525 | 70.000320 | -1.1.13.8 | -8.13.1.1 (-(8*79^3 + 13*79^2 + 79 + 1)) | No | |
| 12643 | 72.000000 | 3.2.2 | 2.2.3 (2*79^2 + 2*79 + 3) | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | No |
These are the training products that have the "GRAY" tag (processing sequence 184). 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 | |
| 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 | |
| 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 | |
| 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 | |
| 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 | |
| 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 | |
| 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 | |
| 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 | |
| 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 | |
| 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 | |
| 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 | |
| 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 | |
| 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 | |
| 9812 | ZLINE 6695-304-34 34".Stainless Steel Outdoor Ducted 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 | none | |
| 5176 | Airbrush 1995 Crop Top And Jogger Set | 5997681 | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | JOGGERS, TANK TOP, 2000S | 5996956 | none | |
| 8718 | McLaren F1 Kid's Dynamic Sweatshirt - Youth Phantom | 4899185 | ORANGE | 4898460 | 2022 | ||
| 1898 | Women's We Can Do It Unicorn T-Shirt | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 4024800 | T-SHIRT | |
| 8709 | McLaren F1 Women's Speedmark Logo T-Shirt - White | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 4024800 | 2022 | |
| 3867 | The Point Contact Transistor - The First Solid State Switch - Western Electric 2N110 | 12643 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | none | 11918 | TRANSISTOR | |
| 9890 | XtremeAir PX10 30" Stainless Steel 900 CFM 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 | |
| 9950 | XtremeAir Pro-X Series PX06-I 36" Stainless Steel Island 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 | |
| 9960 | Cosmo COS-668WRCS75 30" Stainless Steel Ducted Wall Mount Range Hood | 6966 | Home & Garden > Household Appliances > Climate Control Appliances | none | 6241 | none | |
| 10017 | Cosmo COS-24BIWCS 24" Stainless Steel 48-Bottle Wine Cooler | 6966 | Home & Garden > Household Appliances > Climate Control Appliances | none | 6241 | none | |
| 10004 | XtremeAir PX02-W 30" Stainless Steel Wall Mount Range Hood | 6966 | Home & Garden > Household Appliances > Climate Control Appliances | none | 6241 | none | |
| 10030 | Thor Kitchen TWC2402 23" Stainless Steel 42 Bottle Built-in Wine Cooler | 6966 | Home & Garden > Household Appliances > Climate Control Appliances | none | 6241 | none | |
| 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 | |
| 10001 | XtremeAir Ultra Series UL10 36" Stainless Steel 900 CFM Under Cabinet Range Hood | 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 | |
| 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 | none | |
| 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 | |
| 9808 | ZLINE 695 34" Stainless Steel Ducted Range Hood Insert | 725 | Home & Garden > Household Appliances | none | 0 | 33 INCH | |
| 9811 | ZLINE 695-304-46 46".Stainless Steel Outdoor Ducted Range Hood Insert | 725 | Home & Garden > Household Appliances | none | 0 | 33 INCH | |
| 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 | none | |
| 9867 | XtremeAir PX10-U307 30" Stainless Steel 900 CFM Under Cabinet Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | none | |
| 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 | none | |
| 9882 | XtremeAir PX10 36" Stainless Steel 900 CFM Under Cabinet Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | none | |
| 9901 | Cosmo COS-305AERC 30" Stainless Steel Electric Range with Convection Oven | 725 | Home & Garden > Household Appliances | none | 0 | none | |
| 9940 | KOBE Brillia ISX21 SQB-2 42" Stainless Steel 680 CFM Island 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 | |
| 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 | none | |
| 9949 | XtremeAir Pro-X Series PX06-I 42" Stainless Steel Island 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 | |
| 10020 | Cosmo COS-GRP366 36" Stainless Steel Professional Style Gas Range | 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 | none | |
| 10027 | Thor Kitchen HRE2401 24" Stainless Steel Professional Electric Range | 725 | Home & Garden > Household Appliances | none | 0 | none | |
| 10035 | XtremeAir SP01-W36 36" Stainless Steel 900 CFM Wall Mounted Range Hood | 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 | none | |
| 10037 | XtremeAir PX10-U367 36" Stainless Steel 900 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 | |
| 10018 | Cosmo COS-668WRCS90 36" Stainless Steel Wall Mount Range Hood with Glass Canopy | 725 | Home & Garden > Household Appliances | none | 0 | none | |
| 10019 | Cosmo COS-GRP486G 48" Stainless Steel Professional Style Double Oven Gas Range | 725 | Home & Garden > Household Appliances | none | 0 | none | |
| 5509 | Airbrush Pet Portrait With Blue Design | 0 | DESIGN | -725 | none | ||
| 14434 | Dragonfly Bow Tie - Yellow on Gray, Woven Silk | 0 | WOVEN SILK | -725 | none | ||
| 8927 | McLaren F1 New Era Essential Cuff Pom Beanie- Papaya/Anthracite | -499201 | ORANGE | -499926 | ACCESSORIES | ||
| 7205 | I LOVE MY DOG TRUCKER MESH CAP | -1516643 | CAP, MESH | -1517368 | ADJUSTABLE, EMBROIDERED, HAIR | ||
| 7108 | BARN HAIR DON'T CARE TRUCKER MESH | -1516643 | CAP, MESH | -1517368 | ADJUSTABLE, EMBROIDERED, HAIR | ||
| 1897 | Women's Unicorn Print Infinity Scarf | -4025525 | SCARF, GREEN | -4026250 | CLOTHING | ||
| 8890 | Red Bull Racing F1 New Era Essential Beanie - Navy/Gray | -4905347 | NAVY | -4906072 | ACCESSORIES |