Tag Coefficient Debug: FAIRCHILD

Fold 2 - Understanding why coefficient 10227 was selected

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Summary

Tag: FAIRCHILD

Selected Coefficient: 10227

Taxonomy Path: 3.2.2

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

Products with this tag: 7

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?
102272.0003973.2.22.2.3 (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
-50415.000198-0.0.1-1.0.0 (-(5041))No
05.00019800 (0)No

Products with this Tag

These are the training products that have the "FAIRCHILD" tag (processing sequence 734). 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
3889The Transistor to Computer Chips - Type A, 2N1613, Micrologic, 3101, Intel 4004, TMS100010227Arts & Entertainment > Hobbies & Creative Arts > CollectiblesMICROPROCESSOR, MICROCOMPUTER0none
41401976 Fairchild Channel F Videocart - The First Game Cartridge10227Arts & Entertainment > Hobbies & Creative Arts > Collectiblesnone0none
41411978 Atari 2600 Space War - A Descendant of 1962 Spacewars!10227Arts & Entertainment > Hobbies & Creative Arts > Collectiblesnone0none
4176Game Cartridge Technology - Icons of the 20th Century - Perfect for the Game Room5186Arts & Entertainment > Hobbies & Creative Arts > Arts & Craftsnone-5041none
4184Memory Chips - The Early RAM Memory 1-bit to 1-Megabit5186Arts & Entertainment > Hobbies & Creative Arts > Arts & Craftsnone-5041RCA
4186Microprocessors - The Early MPUs, Part 2 - PPS-4, F8, 8008, 6100, 6701, IMP-00A, 26500ROCKWELL-10227none
4199Logic Chips - Ancestors of the Microprocessor-5041MICROPROCESSOR-15268none