Fold 1 - Understanding why coefficient 18723 was selected
Tag: NEBULAE
Selected Coefficient: 18723
Taxonomy Path: 0.0.3
Taxonomy Name:
Products with this tag: 4
Unique residual values tried: 2
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? |
|---|---|---|---|---|---|
| 18723 | 1.000000 | 0.0.3 | 3.0.0 (3*79^2) | Yes | |
| -19198 | 3.000000 | -1.6.3 | -3.6.1 (-(3*79^2 + 6*79 + 1)) | No |
These are the training products that have the "NEBULAE" tag (processing sequence 2149). 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 |
|---|---|---|---|---|---|---|---|
| 13174 | Nebulae - Anillo Oro + Turmalina | 18723 | ORO | 0 | none | ||
| 13455 | Nebulae - Anillo Oro + Rubí redondo | 18723 | ORO | 0 | none | ||
| 13539 | Nebulae - Anillo Oro + Rodolita | 18723 | ORO | 0 | none | ||
| 13451 | Nebulae - Anillo Oro + Aguamarina redonda | -19198 | ORO, AGUAMARINA | -37921 | none |