Tag Coefficient Debug: TRANSISTOR

Fold 1 - Understanding why coefficient 10227 was selected

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Summary

Tag: TRANSISTOR

Selected Coefficient: 10227

Taxonomy Path: 3.2.2

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

Products with this tag: 5

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?
102272.0001983.2.22.2.3 (2*71^2 + 2*71 + 3)Arts & Entertainment > Hobbies & Creative Arts > CollectiblesYes
51862.0003973.2.11.2.3 (5041 + 2*71 + 3)Arts & Entertainment > Hobbies & Creative Arts > Arts & CraftsNo
-50413.000198-0.0.1-1.0.0 (-(5041))No
03.00019800 (0)No

Products with this Tag

These are the training products that have the "TRANSISTOR" tag (processing sequence 91). 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
3812The Field Effect Transistor FET - Putting on the Squeeze10227Arts & Entertainment > Hobbies & Creative Arts > Collectiblesnone0none
3867The Point Contact Transistor - The First Solid State Switch - Western Electric 2N11010227Arts & Entertainment > Hobbies & Creative Arts > Collectiblesnone0none
3871The Solid State Transistor - The Planar Transistor5186Arts & Entertainment > Hobbies & Creative Arts > Arts & Craftsnone-5041none
3880The Transistor Chip - A Single Silicon Planar Transistor Computer Chip Die0SILICON WAFER-10227none
4182Decades of Technology - Relays to Microcomputers-5041MICROPROCESSOR-15268MICROCOMPUTER