Fold 1 - Understanding why coefficient -518415 was selected
Tag: LOGIC
Selected Coefficient: -518415
Taxonomy Path: -17.5.4.1
Taxonomy Name:
Products with this tag: 2
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? |
|---|---|---|---|---|---|
| -518415 | 1.000000 | -17.5.4.1 | -1.4.5.17 (-(493039 + 4*79^2 + 5*79 + 17)) | Yes | |
| -12643 | 1.000000 | -3.2.2 | -2.2.3 (-(2*79^2 + 2*79 + 3)) | No |
These are the training products that have the "LOGIC" tag (processing sequence 3204). 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 | 505772 | Home & Garden > Decor > Artificial Flora > Artificial Flowering Plants | none | |
| 4161 | ChipScapes Set #9: Mixed Types - Art with Chip, Circuit Board, Computer Logic Chip (3 Ornaments) | -518415 | ORNAMENT, GIFT, MEMORY | 0 | none |