Tag Coefficient Debug: 4004

Fold 2 - Understanding why coefficient 6402 was selected

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Summary

Tag: 4004

Selected Coefficient: 6402

Taxonomy Path: 3.2.1

Taxonomy Name: Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts

Products with this tag: 3

Unique residual values tried: 3

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?
64021.0001603.2.11.2.3 (6241 + 2*79 + 3)Arts & Entertainment > Hobbies & Creative Arts > Arts & CraftsYes
126431.0001603.2.22.2.3 (2*79^2 + 2*79 + 3)Arts & Entertainment > Hobbies & Creative Arts > CollectiblesNo
02.00000000 (0)No

Products with this Tag

These are the training products that have the "4004" tag (processing sequence 2417). 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
3829The Intel 4001 - The 4004's Program Store - ROM12643Arts & Entertainment > Hobbies & Creative Arts > Collectiblesnone6241none
3831The Intel 4003 - The 4004's Output Expander6402Arts & Entertainment > Hobbies & Creative Arts > Arts & Craftsnone0none
4231Intel's First Chips - Chips that Changed the World - The 4004, 8008, 8080, 3101 & 17020FIRST OF A KIND-6402none