Fold 0 - Understanding why coefficient 1253894 was selected
Tag: LUNG
Selected Coefficient: 1253894
Taxonomy Path: 13.1.16.2
Taxonomy Name:
Products with this tag: 3
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? |
|---|---|---|---|---|---|
| 1253894 | 1.000145 | 13.1.16.2 | 2.16.1.13 (2*83^3 + 16*83^2 + 83 + 13) | Yes | |
| 240784424 | 1.000145 | 13.1.9.6.5 | 5.6.9.1.13 (5*83^4 + 6*83^3 + 9*83^2 + 83 + 13) | No | |
| 145178702 | 2.000000 | 82.81.74.4.3 | 3.4.74.81.82 (3*83^4 + 4*83^3 + 74*83^2 + 81*83 + 82) | No |
These are the training products that have the "LUNG" tag (processing sequence 3582). 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 |
|---|---|---|---|---|---|---|---|
| 19978 | Essential Vitality Support | 240784424 | none | 239530530 | none | ||
| 26878 | Ultra Quercetin Plus | 145178702 | FITNESS, JOINTS | 143924808 | LIVER, BLOOD PRESSURE, COLD | ||
| 19902 | Propolis Extract | 1253894 | none | 0 | SIMPLE EXTRACTS |