Tag Coefficient Debug: HAIR CARE

Fold 0 - Understanding why coefficient 766458 was selected

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Summary

Tag: HAIR CARE

Selected Coefficient: 766458

Taxonomy Path: 13.3.10.2

Taxonomy Name: Health & Beauty > Personal Care > Hair Care > Hair Color

Products with this tag: 4

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?
7664581.00020113.3.10.22.10.3.13 (2*71^3 + 10*71^2 + 3*71 + 13)Health & Beauty > Personal Care > Hair Care > Hair ColorYes
301151601.00020113.3.10.13.11.13.10.3.13 (25411681 + 13*71^3 + 10*71^2 + 3*71 + 13)Health & Beauty > Personal Care > Hair Care > Shampoo & Conditioner > ConditionersNo
14873211.00039713.3.11.44.11.3.13 (4*71^3 + 11*71^2 + 3*71 + 13)Health & Beauty > Personal Care > Massage & Relaxation > Massage OilNo
809382963.0000000.0.10.13.33.13.10.0.0 (3*71^4 + 13*71^3 + 10*71^2)No

Products with this Tag

These are the training products that have the "HAIR CARE" tag (processing sequence 1365). 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
3101Global Soap Shampoo Bars80938296BABIES80171838none
3097Global Soap Conditioner Bars30115160Health & Beauty > Personal Care > Hair Care > Shampoo & Conditioner > Conditionersnone29348702none
3071Absolute Essential Argan Oil (Organic)1487321Health & Beauty > Personal Care > Massage & Relaxation > Massage OilACNE, ANTI-AGEING, ANTI-INFLAMMATORY, BODY OIL, CARRIER OIL, CRADLE CAP, ECZEMA720863INFANTS, SCARS
6466Root Touch-up Powder766458Health & Beauty > Personal Care > Hair Care > Hair Colornone0none