Tag Coefficient Debug: 4004

Fold 1 - Understanding why coefficient 10227 was selected

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Summary

Tag: 4004

Selected Coefficient: 10227

Taxonomy Path: 3.2.2

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

Products with this tag: 6

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?
102272.0001983.2.22.2.3 (2*71^2 + 2*71 + 3)Arts & Entertainment > Hobbies & Creative Arts > CollectiblesYes
51862.0005953.2.11.2.3 (5041 + 2*71 + 3)Arts & Entertainment > Hobbies & Creative Arts > Arts & CraftsNo
04.00000000 (0)No

Products with this Tag

These are the training products that have the "4004" tag (processing sequence 96). 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 - ROM10227Arts & Entertainment > Hobbies & Creative Arts > Collectiblesnone0none
3830The Intel 4002 - The 4004's Main Memory - RAM10227Arts & Entertainment > Hobbies & Creative Arts > Collectiblesnone0none
4220Intel 4040 - The Intel 4004 Revisited - P404010227Arts & Entertainment > Hobbies & Creative Arts > Collectiblesnone0none
3831The Intel 4003 - The 4004's Output Expander5186Arts & Entertainment > Hobbies & Creative Arts > Arts & Craftsnone-5041none
4231Intel's First Chips - Chips that Changed the World - The 4004, 8008, 8080, 3101 & 17020MICROPROCESSOR-10227none
4271Ten of The First Microprocessors - Intel 4004, MOS 6502, AMD 2901, Fairchild F8, etc.0MICROPROCESSOR, FAIRCHILD, AMD-10227MICROCOMPUTER, TEXAS INSTRUMENTS