Fold 1 - Understanding why coefficient -12643 was selected
Tag: AMD
Selected Coefficient: -12643
Taxonomy Path: -3.2.2
Taxonomy Name:
Products with this tag: 4
Unique residual values tried: 3
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 | 2.000000 | -3.2.2 | -2.2.3 (-(2*79^2 + 2*79 + 3)) | Yes | |
| -486953 | 3.000000 | -76.1.78 | -78.1.76 (-(78*79^2 + 79 + 76)) | No | |
| 0 | 3.000000 | 0 | 0 (0) | No |
These are the training products that have the "AMD" tag (processing sequence 167). 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 |
|---|---|---|---|---|---|---|---|
| 4272 | The AMD Athlon XP - A Challenger to the Throne | 0 | MICROPROCESSOR | 12643 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | none | |
| 4154 | ChipScapes Set #2: Flip Chips - AMD, IBM, and S3 (3 Ornaments) | -12643 | ORNAMENT, MICROPROCESSOR | 0 | none | ||
| 4271 | Ten of The First Microprocessors - Intel 4004, MOS 6502, AMD 2901, Fairchild F8, etc. | -12643 | MICROPROCESSOR, FAIRCHILD | 0 | MICROCOMPUTER, RCA | ||
| 4145 | ChipScapes - A History of Computer Chips Told Through Art | -486953 | GIFT | -474310 | BOOK |