Fold 0 - Understanding why coefficient 240784424 was selected
Tag: MUSHROOM EXTRACTS
Selected Coefficient: 240784424
Taxonomy Path: 13.1.9.6.5
Taxonomy Name:
Products with this tag: 7
Unique residual values tried: 4
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? |
|---|---|---|---|---|---|
| 240784424 | 1.012193 | 13.1.9.6.5 | 5.6.9.1.13 (5*83^4 + 6*83^3 + 9*83^2 + 83 + 13) | Yes | |
| 110320 | 1.012629 | 13.1.16 | 16.1.13 (16*83^2 + 83 + 13) | No | |
| 8974782792 | 1.060241 | 13.3.2.9.23.2 | 2.23.9.2.3.13 (2*83^5 + 23*83^4 + 9*83^3 + 2*83^2 + 3*83 + 13) | No | |
| -239530530 | 6.000000 | -0.0.76.3.5 | -5.3.76.0.0 (-(5*83^4 + 3*83^3 + 76*83^2)) | No |
These are the training products that have the "MUSHROOM EXTRACTS" tag (processing sequence 4165). 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 |
|---|---|---|---|---|---|---|---|
| 19738 | Chaga Crème | 8974782792 | none | 8733998368 | BODY CARE | ||
| 19739 | Chaga Mushroom Extract | 240784424 | none | 0 | IMMUNE, SIMPLE EXTRACTS | ||
| 19766 | Deep Immune Tonic Broth | 240784424 | none | 0 | none | ||
| 19973 | Turkey Tails Extract | 240784424 | none | 0 | IMMUNE, LIVER, SIMPLE EXTRACTS, CARDIOVASCULAR | ||
| 19740 | Chaga Tea | 240784424 | none | 0 | BITTER | ||
| 19709 | Reishi Extract | 110320 | none | -240674104 | IMMUNE, SIMPLE EXTRACTS | ||
| 19710 | Reishi PLUS Extract | -239530530 | GINGER | -480314954 | none |