Fold 1 - Understanding why coefficient -20454 was selected
Tag: PENTIUM
Selected Coefficient: -20454
Taxonomy Path: -6.4.4
Taxonomy Name:
Products with this tag: 3
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? |
|---|---|---|---|---|---|
| -20454 | 2.000000 | -6.4.4 | -4.4.6 (-(4*71^2 + 4*71 + 6)) | Yes | |
| -10227 | 2.000000 | -3.2.2 | -2.2.3 (-(2*71^2 + 2*71 + 3)) | No | |
| 0 | 2.000000 | 0 | 0 (0) | No |
These are the training products that have the "PENTIUM" tag (processing sequence 89). 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 |
|---|---|---|---|---|---|---|---|
| 4229 | Intel Mobile Pentium Microprocessor | 0 | MICROPROCESSOR | 20454 | none | ||
| 4151 | ChipScapes Set #11: Mixed Types - Intel Flip Chip, IBM System/370 Assembly, Art with Chip, (3 Ornaments) | -10227 | ORNAMENT, MICROPROCESSOR | 10227 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | MOTOROLA | |
| 4150 | ChipScapes Set #10: Mixed Types - Silicon Wafer, Computer Circuit Board, Chip Traces (3 Ornaments) | -20454 | ORNAMENT, MICROPROCESSOR, SILICON WAFER | 0 | MOTOROLA |