Fold 3 - Understanding why coefficient 7058 was selected
Tag: BUTTERFLY
Selected Coefficient: 7058
Taxonomy Path: 3.2.1
Taxonomy Name:
Products with this tag: 6
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 | 4.000000 | 3.2.1 | 1.2.3 (6889 + 2*83 + 3) | Yes | |
| 0 | 4.000145 | 0 | 0 (0) | No | |
| 6889 | 4.000145 | 0.0.1 | 1.0.0 (6889) | No | |
| -239014024 | 5.000000 | -3.2.1.3.5 | -5.3.1.2.3 (-(5*83^4 + 3*83^3 + 6889 + 2*83 + 3)) | No | |
| 4663937 | 5.000000 | 1.1.13.8 | 8.13.1.1 (8*83^3 + 13*83^2 + 83 + 1) | No |
These are the training products that have the "BUTTERFLY" tag (processing sequence 6096). 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 |
|---|---|---|---|---|---|---|---|
| 5412 | Airbrush Birthday B*tch With Butterflies Design | 4663937 | none | 4656879 | none | ||
| 27496 | Monarchs in Flight | 7058 | none | 0 | none | ||
| 27497 | Come Fly Away | 7058 | none | 0 | none | ||
| 883 | Dezorro | 6889 | BEADED | -169 | none | ||
| 9387 | Airbrush Long Live Portrait With Butterflies Shirt Design | 0 | LETTERS | -7058 | none | ||
| 18689 | Ceramic Dish- Butterfly | -239014024 | MUSIC, PLATTER | -239021082 | POTTERY |