Tag Coefficient Debug: GRAY

Fold 2 - Understanding why coefficient 653 was selected

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Summary

Tag: GRAY

Selected Coefficient: 653

Taxonomy Path: 14.9

Taxonomy Name: Home & Garden > Household Appliances

Products with this tag: 67

Unique residual values tried: 11

Candidate Coefficients Tried

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?
6539.14401914.99.14 (9*71 + 14)Home & Garden > Household AppliancesYes
1037998849.14721514.9.1.6.44.6.1.9.14 (4*71^4 + 6*71^3 + 5041 + 9*71 + 14)Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation FansNo
56949.14721514.9.11.9.14 (5041 + 9*71 + 14)Home & Garden > Household Appliances > Climate Control AppliancesNo
139946119.67625514.11.7.3939.7.11.14 (39*71^3 + 7*71^2 + 11*71 + 14)Home & Garden > Kitchen & Dining > Kitchen Appliances > Range HoodsNo
7959.67784214.1111.14 (11*71 + 14)Home & Garden > Kitchen & DiningNo
062.01408500 (0)No
-212723162.056338-0.70.66.5-5.66.70.0 (-(5*71^3 + 66*71^2 + 70*71))No
12597027266.00000013.10.68.67.44.67.68.10.13 (4*71^4 + 67*71^3 + 68*71^2 + 10*71 + 13)No
2577966.0000006.8.55.8.6 (5*71^2 + 8*71 + 6)Business & Industrial > Food Service > Disposable LidsNo
292889366.0000001.1.13.88.13.1.1 (8*71^3 + 13*71^2 + 71 + 1)Apparel & Accessories > Clothing > Clothing Tops > T-ShirtsNo
728943066.0000002.2.26.2020.26.2.2 (20*71^3 + 26*71^2 + 2*71 + 2)No

Products with this Tag

These are the training products that have the "GRAY" tag (processing sequence 181). 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
9983Porcelain Tea Mug With Infuser & Lid125970272WHITE125969619none
9789XtremeAir Ultra Series UL13 36" Stainless Steel Under Cabinet Range Hood103799884Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fansnone103799231none
9936KOBE Premium CH77SQ6-WM-XX 48" Stainless Steel 600 CFM Wall Mount Range Hood103799884Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fansnone103799231none
9941KOBE Brillia ISX21 SQB-2 36" Stainless Steel 680 CFM Island Range Hood103799884Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fansnone103799231ISLAND RANGE HOODS
10024XtremeAir SP01-I 42" Stainless Steel Island Mount Range Hood103799884Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fansnone103799231ISLAND RANGE HOODS
10005Summit SEH6624C 24" Wide Stainless Steel Wall-Mounted Range Hood103799884Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fansnone103799231none
9959XtremeAir Special Ultra SU10-U 30" Stainless Steel Under Cabinet Range Hood103799884Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fansnone103799231none
9872XtremeAir SP10 36" Stainless Steel 900 CFM Under Cabinet Range Hood103799884Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fansnone103799231none
9957XtremeAir Pro-X Series PX06-W 30" Stainless Steel Wall Mounted Range Hood103799884Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fansnone103799231none
9938KOBE Premium Mila CH77SQ6-XX 48" Stainless Steel 600 CFM Under Cabinet Range Hood13994611Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoodsnone13993958none
9955XtremeAir Pro-X Series PX15-W 30" Stainless Steel Wall Mounted Range Hood13994611Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoodsnone13993958none
9788XtremeAir UL02-W Ultra Series 30" Stainless Steel Wall Mount Range Hood13994611Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoodsnone13993958none
9810ZLINE 695-RD 34" Stainless Steel Remote Dual Blower Range Hood Insert13994611Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoodsnone1399395833 INCH
9939KOBE Premium Mila CH77SQ6-XX 36" Stainless Steel 600 CFM Under Cabinet Range Hood13994611Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoodsnone13993958none
9812ZLINE 6695-304-34 34".Stainless Steel Outdoor Ducted Range Hood Insert13994611Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoodsnone1399395833 INCH
10025XtremeAir SP01-I 36" Stainless Steel Island Mount Range Hood13994611Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoodsnone13993958ISLAND RANGE HOODS
9945ZLINE 8656S 36" Stainless Steel 900 CFM Designer Series Wall Mount Range Hood13994611Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoodsnone13993958DUCTLESS OPTION RANGE HOODS
9809ZLINE 695-RD 40" Stainless Steel Remote Dual Blower Range Hood Insert13994611Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoodsnone13993958none
7205I LOVE MY DOG TRUCKER MESH CAP7289430BLACK, MESH, CAP, DOG7288777ADJUSTABLE, EMBROIDERED
7108BARN HAIR DON'T CARE TRUCKER MESH2928893Apparel & Accessories > Clothing > Clothing Tops > T-ShirtsMESH, CAP2928240ADJUSTABLE, EMBROIDERED
5444Cable Concepts Alarm Cable 22 AWG, 4 C. FT4/CSA, 1000 Ft25779Business & Industrial > Food Service > Disposable LidsWHITE, YELLOW, BROWN25126none
9952XtremeAir Pro-X Series PX05-I 30" Stainless Steel Island Mount Range Hood5694Home & Garden > Household Appliances > Climate Control Appliancesnone5041ISLAND RANGE HOODS
9796XtremeAir Ultra Series UL11 36" Stainless Steel Under Cabinet Range Hood5694Home & Garden > Household Appliances > Climate Control Appliancesnone5041none
9950XtremeAir Pro-X Series PX06-I 36" Stainless Steel Island Range Hood5694Home & Garden > Household Appliances > Climate Control Appliancesnone5041ISLAND RANGE HOODS
9951XtremeAir Pro-X Series PX06-I 30" Stainless Steel Island Range Hood5694Home & Garden > Household Appliances > Climate Control Appliancesnone5041ISLAND RANGE HOODS
9953XtremeAir Pro-X Series PX15-W 42" Stainless Steel Wall Mounted Range Hood5694Home & Garden > Household Appliances > Climate Control Appliancesnone5041none
9958XtremeAir Special Ultra SU11-U 30" Stainless Steel Under Cabinet Range Hood5694Home & Garden > Household Appliances > Climate Control Appliancesnone5041none
9960Cosmo COS-668WRCS75 30" Stainless Steel Ducted Wall Mount Range Hood5694Home & Garden > Household Appliances > Climate Control Appliancesnone5041none
10017Cosmo COS-24BIWCS 24" Stainless Steel 48-Bottle Wine Cooler5694Home & Garden > Household Appliances > Climate Control Appliancesnone5041none
10010LaToscana LFS3318W 33" Silver Flax Reversible Apron Front Fireclay Sink795Home & Garden > Kitchen & Diningnone14233 INCH, FIRECLAY SINKS
9839ZLINE KB-48 48" Stainless Steel Convertible Vent Wall Mount Range Hood653Home & Garden > Household Appliancesnone0none
9811ZLINE 695-304-46 46".Stainless Steel Outdoor Ducted Range Hood Insert653Home & Garden > Household Appliancesnone033 INCH
9940KOBE Brillia ISX21 SQB-2 42" Stainless Steel 680 CFM Island Range Hood653Home & Garden > Household Appliancesnone0ISLAND RANGE HOODS
9808ZLINE 695 34" Stainless Steel Ducted Range Hood Insert653Home & Garden > Household Appliancesnone033 INCH
9798ZLINE 695 46" Stainless Steel Ducted Range Hood Insert653Home & Garden > Household Appliancesnone0none
9946Cosmo COS-63175 30" Stainless Steel Wall Mount Range Hood653Home & Garden > Household Appliancesnone0none
9947Cosmo COS-244AGC 24" Stainless Steel Freestanding Compact Gas Range653Home & Garden > Household Appliancesnone0none
9948Cosmo COS-668WRC75 30" Stainless Steel Wall Mount Range Hood with Glass Canopy653Home & Garden > Household Appliancesnone0none
9949XtremeAir Pro-X Series PX06-I 42" Stainless Steel Island Range Hood653Home & Garden > Household Appliancesnone0ISLAND RANGE HOODS
10022Cosmo COS-DIS6502 24" Stainless Steel Top Control Tall Built-In Dishwasher653Home & Garden > Household Appliancesnone0none
9787XtremeAir UL02-W Ultra Series 36" Stainless Steel Wall Mount Range Hood653Home & Garden > Household Appliancesnone0none
9858ZLINE KB-36 36" Stainless Steel Convertible Vent Wall Mount Range Hood653Home & Garden > Household Appliancesnone0none
9881XtremeAir PX12 30" Stainless Steel 900 CFM Under Cabinet Range Hood653Home & Garden > Household Appliancesnone0none
9882XtremeAir PX10 36" Stainless Steel 900 CFM Under Cabinet Range Hood653Home & Garden > Household Appliancesnone0none
9928KOBE Premium IN26 SQB-1200-1 48" Stainless Steel 1200 CFM Built-In/Insert Range Hood653Home & Garden > Household Appliancesnone0none
9929KOBE Premium IN26 SQB-1200-1 36" Stainless Steel 1200 CFM Built-In/Insert Range Hood653Home & Garden > Household Appliancesnone0none
9937KOBE Premium CH77SQ6-WM-XX 36" Stainless Steel 600 CFM Wall Mount Range Hood653Home & Garden > Household Appliancesnone0none
9786XtremeAir Ultra Series UL10-U 30" Stainless Steel Under Cabinet Range Hood653Home & Garden > Household Appliancesnone0none
9956XtremeAir Pro-X Series PX06-W 36" Stainless Steel Wall Mounted Range Hood653Home & Garden > Household Appliancesnone0none
9785XtremeAir Ultra Series UL10-U 36" Stainless Steel Under Cabinet Range Hood653Home & Garden > Household Appliancesnone0none
10026XtremeAir SP01-I 30" Stainless Steel Island Mount Range Hood653Home & Garden > Household Appliancesnone0ISLAND RANGE HOODS
10027Thor Kitchen HRE2401 24" Stainless Steel Professional Electric Range653Home & Garden > Household Appliancesnone0none
9979KOBE Premium RA3836SQB 36" Stainless Steel 750 CFM Wall Mount Range Hood653Home & Garden > Household Appliancesnone0none
9980KOBE Premium RA38 SQB-1 36" Stainless Steel 680 CFM Under Cabinet Range Hood653Home & Garden > Household Appliancesnone0none
10006Summit SEH1524 24" Wide Stainless Steel Wall-Mounted Range Hood653Home & Garden > Household Appliancesnone0none
10013Thor Kitchen HRE3601 36" Stainless Steel Professional Electric Range653Home & Garden > Household Appliancesnone0none
10014Thor Kitchen HRE3001 30" Stainless Steel Professional Electric Range653Home & Garden > Household Appliancesnone0none
10035XtremeAir SP01-W36 36" Stainless Steel 900 CFM Wall Mounted Range Hood653Home & Garden > Household Appliancesnone0none
10018Cosmo COS-668WRCS90 36" Stainless Steel Wall Mount Range Hood with Glass Canopy653Home & Garden > Household Appliancesnone0none
10019Cosmo COS-GRP486G 48" Stainless Steel Professional Style Double Oven Gas Range653Home & Garden > Household Appliancesnone0none
10020Cosmo COS-GRP366 36" Stainless Steel Professional Style Gas Range653Home & Garden > Household Appliancesnone0none
9859ZLINE KB-30 30" Stainless Steel Convertible Vent Wall Mount Range Hood653Home & Garden > Household Appliancesnone0none
5509Airbrush Pet Portrait With Blue Design0DESIGN, BLACK, BLUE, DOG-653PUPPY
8927McLaren F1 New Era Essential Cuff Pom Beanie- Papaya/Anthracite0ORANGE-653WOMEN, ADULT
8709McLaren F1 Women's Speedmark Logo T-Shirt - White0WHITE-6532022, WOMEN
7219MAMA TRUCKER MESH0BLACK, MESH, CAP-653ADJUSTABLE, EMBROIDERED
8890Red Bull Racing F1 New Era Essential Beanie - Navy/Gray-2127231NAVY-2127884WOMEN, ADULT