Fold 0 - Understanding why coefficient -256 was selected
Tag: ECO-PLASTIC
Selected Coefficient: -256
Taxonomy Path: -7.3
Taxonomy Name:
Products with this tag: 12
Unique residual values tried: 7
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? |
|---|---|---|---|---|---|
| -256 | 9.000000 | -7.3 | -3.7 (-(3*83 + 7)) | Yes | |
| 186170 | 9.000000 | 1.2.27 | 27.2.1 (27*83^2 + 2*83 + 1) | No | |
| 34279 | 9.012048 | 0.81.4 | 4.81.0 (4*83^2 + 81*83) | No | |
| 0 | 9.024096 | 0 | 0 (0) | No | |
| 256 | 10.012048 | 7.3 | 3.7 (3*83 + 7) | No | |
| 34535 | 10.012048 | 7.1.5 | 5.1.7 (5*83^2 + 83 + 7) | No | |
| -185914 | 11.000000 | -77.81.26 | -26.81.77 (-(26*83^2 + 81*83 + 77)) | No |
These are the training products that have the "ECO-PLASTIC" tag (processing sequence 4058). 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 |
|---|---|---|---|---|---|---|---|
| 32735 | Opus LL | 186170 | none | 186426 | none | ||
| 32730 | Alton | 186170 | none | 186426 | TORTOISE | ||
| 32755 | Compas LL | 186170 | none | 186426 | TORTOISE | ||
| 32745 | Warren Acetate | 34535 | none | 34791 | TORTOISE | ||
| 32739 | Iona Clip On | 34279 | POLARIZED | 34535 | TORTOISE | ||
| 32727 | Russell Clip On | 34279 | POLARIZED | 34535 | TORTOISE | ||
| 32731 | DR2009 | 256 | none | 512 | none | ||
| 32747 | Aerial LL | 0 | X LARGE | 256 | TORTOISE | ||
| 32751 | Atlas | -256 | AVIATOR, POLARIZED | 0 | TORTOISE | ||
| 32736 | Aerial LL Polar | -256 | X LARGE, POLARIZED | 0 | none | ||
| 32753 | Deadlock LL Polar | -256 | X LARGE, POLARIZED | 0 | TORTOISE, WRAP | ||
| 32754 | Deadlock LL | -185914 | X LARGE | -185658 | TORTOISE, WRAP |