Tag Coefficient Debug: BLACK CRYSTAL

Fold 2 - Understanding why coefficient 50403 was selected

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Summary

Tag: BLACK CRYSTAL

Selected Coefficient: 50403

Taxonomy Path: 1.6.8

Taxonomy Name: Apparel & Accessories > Jewelry > Necklaces

Products with this tag: 4

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?
504031.0000001.6.88.6.1 (8*79^2 + 6*79 + 1)Apparel & Accessories > Jewelry > NecklacesYes
1008063.0000002.12.1616.12.2 (16*79^2 + 12*79 + 2)No

Products with this Tag

These are the training products that have the "BLACK CRYSTAL" tag (processing sequence 805). 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
9560Sterling Silver Wire Wrapped Raw Tourmaline Necklace1008068TH ANNIVERSARY50403Apparel & Accessories > Jewelry > Necklacesnone
8838AURA OBSIDIAN COLLECTION - Obsidian Green Necklace50403Apparel & Accessories > Jewelry > Necklacesnone0none
8839AURA OBSIDIAN COLLECTION - Obsidian Pink50403Apparel & Accessories > Jewelry > Necklacesnone0none
8847AURA OBSIDIAN COLLECTION - Obsidian Violet Necklace50403Apparel & Accessories > Jewelry > Necklacesnone0none