Fold 3 - Understanding why coefficient 7554 was selected
Tag: PALE VIOLET
Selected Coefficient: 7554
Taxonomy Path: 1.8.1
Taxonomy Name:
Products with this tag: 11
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? |
|---|---|---|---|---|---|
| 7554 | 5.000000 | 1.8.1 | 1.8.1 (6889 + 8*83 + 1) | Yes | |
| 0 | 8.000000 | 0 | 0 (0) | No | |
| 20191 | 10.000000 | 22.77.2 | 2.77.22 (2*83^2 + 77*83 + 22) | No | |
| 27745 | 10.000000 | 23.2.4 | 4.2.23 (4*83^2 + 2*83 + 23) | No |
These are the training products that have the "PALE VIOLET" tag (processing sequence 2667). 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 |
|---|---|---|---|---|---|---|---|
| 26584 | M30-2098-PVI | 27745 | none | 20191 | 3X | ||
| 26391 | M20-2822-PVI | 20191 | 2X | 12637 | none | ||
| 26588 | M30-2105-PVI | 7554 | none | 0 | 3X | ||
| 26569 | M30-1102-PVI | 7554 | none | 0 | 3X | ||
| 26576 | M30-1110-PVI | 7554 | none | 0 | 3X | ||
| 26580 | M30-2082-PVI | 7554 | none | 0 | 3X | ||
| 26561 | M30-1090-PVI | 7554 | none | 0 | 3X | ||
| 26566 | M30-1101-PVI | 7554 | none | 0 | 3X | ||
| 26529 | M21-2906-PVI | 0 | 2X | -7554 | none | ||
| 26398 | M20-2842-PVI | 0 | 2X | -7554 | none | ||
| 26402 | M21-1908-PVI | 0 | 2X | -7554 | none |