Tag Coefficient Debug: HEADBOARD

Fold 1 - Understanding why coefficient 27732 was selected

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Summary

Tag: HEADBOARD

Selected Coefficient: 27732

Taxonomy Path: 10.2.4

Taxonomy Name:

Products with this tag: 3

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?
277320.00014510.2.44.2.10 (4*83^2 + 2*83 + 10)Yes
57318240.00029010.2.2.1010.2.2.10 (10*83^3 + 2*83^2 + 2*83 + 10)No

Products with this Tag

These are the training products that have the "HEADBOARD" tag (processing sequence 3559). 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
29146Sea Winds Trading Maui King Bed B533KBED5731824none5704092none
29205Sea Winds Trading Islamorada King Headboard B2334127732none0ISLAMORADA COLLECTION
31311Headboard: Moderne Maru (King)27732none0none