Tag Coefficient Debug: 42" RANGE HOODS

Fold 4 - Understanding why coefficient 6966 was selected

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Summary

Tag: 42" RANGE HOODS

Selected Coefficient: 6966

Taxonomy Path: 14.9.1

Taxonomy Name: Home & Garden > Household Appliances > Climate Control Appliances

Products with this tag: 2

Unique residual values tried: 2

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?
69661.00000014.9.11.9.14 (6241 + 9*79 + 14)Home & Garden > Household Appliances > Climate Control AppliancesYes
1587585581.0000000.0.0.6.44.6.0.0.0 (4*79^4 + 6*79^3)No

Products with this Tag

These are the training products that have the "42" RANGE HOODS" tag (processing sequence 2678). 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 Hood158758558ISLAND RANGE HOODS158751592none
9953XtremeAir Pro-X Series PX15-W 42" Stainless Steel Wall Mounted Range Hood6966Home & Garden > Household Appliances > Climate Control Appliancesnone0WALL MOUNTED RANGE HOODS