Fold 3 - Understanding why coefficient -55538 was selected
Tag: APPLE
Selected Coefficient: -55538
Taxonomy Path: -16.1.11
Taxonomy Name:
Products with this tag: 4
Unique residual values tried: 4
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? |
|---|---|---|---|---|---|
| -55538 | 3.000000 | -16.1.11 | -11.1.16 (-(11*71^2 + 71 + 16)) | Yes | |
| -20454 | 3.000000 | -6.4.4 | -4.4.6 (-(4*71^2 + 4*71 + 6)) | No | |
| -10227 | 3.000000 | -3.2.2 | -2.2.3 (-(2*71^2 + 2*71 + 3)) | No | |
| 0 | 3.000000 | 0 | 0 (0) | No |
These are the training products that have the "APPLE" tag (processing sequence 144). 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 |
|---|---|---|---|---|---|---|---|
| 5983 | USB4 40Gbps Cable | 0 | 8K | 55538 | HIGH SPEED | ||
| 4239 | MOS 6502 Microprocessor - The Hobbyist's Microprocessor - Atari, Apple | -10227 | MICROPROCESSOR, 6502 | 45311 | none | ||
| 4086 | Item034: Apple Microprocessor Pendant - PowerPC, IBM, Canada, PPC750 | -20454 | PENDANT, MICROPROCESSOR, MEMORY | 35084 | MOTOROLA | ||
| 3857 | The MOS 6502 - The Hobbyist's Microprocessor Rare MCS6502 Version | -55538 | MICROPROCESSOR, GOLD, WHITE | 0 | none |