Tag Coefficient Debug: 42" RANGE HOODS

Fold 1 - Understanding why coefficient 653 was selected

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Summary

Tag: 42" RANGE HOODS

Selected Coefficient: 653

Taxonomy Path: 14.9

Taxonomy Name: Home & Garden > Household Appliances

Products with this tag: 5

Unique residual values tried: 4

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?
6532.00019814.99.14 (9*71 + 14)Home & Garden > Household AppliancesYes
56942.00039714.9.11.9.14 (5041 + 9*71 + 14)Home & Garden > Household Appliances > Climate Control AppliancesNo
03.00019800 (0)No
1037992313.0001980.0.1.6.44.6.1.0.0 (4*71^4 + 6*71^3 + 5041)No

Products with this Tag

These are the training products that have the "42" RANGE HOODS" tag (processing sequence 322). 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
10024XtremeAir SP01-I 42" Stainless Steel Island Mount Range Hood10379923140 INCH103798578ISLAND RANGE HOODS
9953XtremeAir Pro-X Series PX15-W 42" Stainless Steel Wall Mounted Range Hood5694Home & Garden > Household Appliances > Climate Control Appliancesnone5041none
9830ZLINE BSKBN-42 42" Black Stainless Steel Convertible Vent Wall Mount Range Hood653Home & Garden > Household Appliancesnone0none
9857ZLINE KB-42 42" Stainless Steel Convertible Vent Wall Mount Range Hood653Home & Garden > Household Appliancesnone0none
9949XtremeAir Pro-X Series PX06-I 42" Stainless Steel Island Range Hood040 INCH-653ISLAND RANGE HOODS