Fold 2 - Understanding why coefficient -12643 was selected
Tag: LOGIC
Selected Coefficient: -12643
Taxonomy Path: -3.2.2
Taxonomy Name:
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)) | Yes | |
| -197291536 | 2.000000 | -17.13.12.5.5 | -5.5.12.13.17 (-(5*79^4 + 5*79^3 + 12*79^2 + 13*79 + 17)) | No |
These are the training products that have the "LOGIC" tag (processing sequence 3202). 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 |
|---|---|---|---|---|---|---|---|
| 4157 | ChipScapes Set #5: Computer Circuit Boards with Chips (3 Ornaments) | -12643 | ORNAMENT, MEMORY | 0 | none | ||
| 4158 | ChipScapes Set #6: Computer Circuit Boards (3 Ornaments) | -12643 | ORNAMENT, MEMORY | 0 | none | ||
| 4161 | ChipScapes Set #9: Mixed Types - Art with Chip, Circuit Board, Computer Logic Chip (3 Ornaments) | -197291536 | ORNAMENT, GIFT, MEMORY | -197278893 | none |