Fold 1 - Understanding why coefficient 7554 was selected
Tag: PALE VIOLET
Selected Coefficient: 7554
Taxonomy Path: 1.8.1
Taxonomy Name:
Products with this tag: 14
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 | 2.000290 | 1.8.1 | 1.8.1 (6889 + 8*83 + 1) | Yes | |
| 62666 | 2.001452 | 1.8.9 | 9.8.1 (9*83^2 + 8*83 + 1) | No | |
| 189 | 12.000145 | 23.2 | 2.23 (2*83 + 23) | No | |
| 27745 | 12.000145 | 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 3196). 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 |
|---|---|---|---|---|---|---|---|
| 26553 | M30-1070-PVI | 62666 | none | 55112 | 3X | ||
| 26540 | M22-1005-PVI | 62666 | none | 55112 | 2X | ||
| 26584 | M30-2098-PVI | 27745 | none | 20191 | 3X | ||
| 26559 | M30-1073-PVI | 7554 | none | 0 | 3X | ||
| 26561 | M30-1090-PVI | 7554 | none | 0 | 3X | ||
| 26566 | M30-1101-PVI | 7554 | none | 0 | 3X | ||
| 26569 | M30-1102-PVI | 7554 | none | 0 | 3X | ||
| 26572 | M30-1107-PVI | 7554 | none | 0 | 3X | ||
| 26576 | M30-1110-PVI | 7554 | none | 0 | 3X | ||
| 26398 | M20-2842-PVI | 7554 | none | 0 | 2X | ||
| 26402 | M21-1908-PVI | 7554 | none | 0 | 2X | ||
| 26529 | M21-2906-PVI | 7554 | none | 0 | 2X | ||
| 26588 | M30-2105-PVI | 7554 | none | 0 | 3X | ||
| 26563 | M30-1097-PVI | 189 | none | -7365 | 3X |