Fold 0 - Understanding why coefficient 12643 was selected
Tag: 4004
Selected Coefficient: 12643
Taxonomy Path: 3.2.2
Taxonomy Name: Arts & Entertainment > Hobbies & Creative Arts > Collectibles
Products with this tag: 3
Unique residual values tried: 2
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? |
|---|---|---|---|---|---|
| 12643 | 1.000000 | 3.2.2 | 2.2.3 (2*79^2 + 2*79 + 3) | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | Yes |
| 12482 | 2.000000 | 0.0.2 | 2.0.0 (2*79^2) | No |
These are the training products that have the "4004" tag (processing sequence 3282). 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 |
|---|---|---|---|---|---|---|---|
| 3829 | The Intel 4001 - The 4004's Program Store - ROM | 12643 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | none | 0 | none | |
| 4220 | Intel 4040 - The Intel 4004 Revisited - P4040 | 12643 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | none | 0 | none | |
| 4271 | Ten of The First Microprocessors - Intel 4004, MOS 6502, AMD 2901, Fairchild F8, etc. | 12482 | MICROPROCESSOR, FAIRCHILD, AMD, MICROCOMPUTER | -161 | none |