Fold 1 - Understanding why coefficient 7058 was selected
Tag: GUITAR
Selected Coefficient: 7058
Taxonomy Path: 3.2.1
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? |
|---|---|---|---|---|---|
| 7058 | 1.000145 | 3.2.1 | 1.2.3 (6889 + 2*83 + 3) | Yes | |
| 48392 | 1.000290 | 3.2.7 | 7.2.3 (7*83^2 + 2*83 + 3) | No | |
| 48601895 | 3.000000 | 0.0.0.2.1 | 1.2.0.0.0 (47458321 + 2*83^3) | No |
These are the training products that have the "GUITAR" tag (processing sequence 4814). 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 |
|---|---|---|---|---|---|---|---|
| 27533 | Acoustic Guitar | 48601895 | ORIGINALS | 48594837 | none | ||
| 28248 | Finger Strengthener Trainer | 48392 | none | 41334 | GADGET | ||
| 27537 | Guitar II | 7058 | none | 0 | none | ||
| 27554 | Guitar I | 7058 | none | 0 | none |