Fold 3 - Understanding why coefficient 7058 was selected
Tag: MUSIC
Selected Coefficient: 7058
Taxonomy Path: 3.2.1
Taxonomy Name:
Products with this tag: 8
Unique residual values tried: 5
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 | 5.000000 | 3.2.1 | 1.2.3 (6889 + 2*83 + 3) | Yes | |
| 0 | 5.000002 | 0 | 0 (0) | No | |
| 48601895 | 5.000003 | 0.0.0.2.1 | 1.2.0.0.0 (47458321 + 2*83^3) | No | |
| -55611 | 7.000000 | -1.6.8 | -8.6.1 (-(8*83^2 + 6*83 + 1)) | No | |
| 144731928 | 7.000000 | 14.11.10.4.3 | 3.4.10.11.14 (3*83^4 + 4*83^3 + 10*83^2 + 11*83 + 14) | No |
These are the training products that have the "MUSIC" tag (processing sequence 4549). 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 |
|---|---|---|---|---|---|---|---|
| 18689 | Ceramic Dish- Butterfly | 144731928 | none | 144724870 | PLATTER, BUTTERFLY, POTTERY | ||
| 27533 | Acoustic Guitar | 48601895 | ORIGINALS | 48594837 | none | ||
| 27556 | Grandpa's Fiddle | 7058 | none | 0 | none | ||
| 27537 | Guitar II | 7058 | none | 0 | none | ||
| 27554 | Guitar I | 7058 | none | 0 | none | ||
| 27531 | Piano | 0 | ORIGINALS | -7058 | none | ||
| 11251 | Nomination Classic Silver Headphones with Music Link | 0 | FULLPRICECOMPOSABLE | -7058 | none | ||
| 5395 | Airbrush 90's Green Boombox Shirt Design | -55611 | LETTERS, NECKLACE | -62669 | none |