Tag Coefficient Debug: RANGE HOOD INSERTS

Fold 3 - Understanding why coefficient 725 was selected

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Summary

Tag: RANGE HOOD INSERTS

Selected Coefficient: 725

Taxonomy Path: 14.9

Taxonomy Name: Home & Garden > Household Appliances

Products with this tag: 5

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?
7250.01265814.99.14 (9*79 + 14)Home & Garden > Household AppliancesYes
192730910.05063314.11.7.3939.7.11.14 (39*79^3 + 7*79^2 + 11*79 + 14)Home & Garden > Kitchen & Dining > Kitchen Appliances > Range HoodsNo

Products with this Tag

These are the training products that have the "RANGE HOOD INSERTS" tag (processing sequence 1932). 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
9812ZLINE 6695-304-34 34".Stainless Steel Outdoor Ducted Range Hood Insert19273091Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoodsnone19272366none
9798ZLINE 695 46" Stainless Steel Ducted Range Hood Insert725Home & Garden > Household Appliancesnone0none
9799ZLINE 695 40" Stainless Steel Ducted Range Hood Insert725Home & Garden > Household Appliancesnone0none
9808ZLINE 695 34" Stainless Steel Ducted Range Hood Insert725Home & Garden > Household Appliancesnone0none
9928KOBE Premium IN26 SQB-1200-1 48" Stainless Steel 1200 CFM Built-In/Insert Range Hood725Home & Garden > Household Appliancesnone0none