Fold 0 - Understanding why coefficient 256 was selected
Tag: POLARIZED
Selected Coefficient: 256
Taxonomy Path: 7.3
Taxonomy Name:
Products with this tag: 15
Unique residual values tried: 5
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 | 7.024096 | 7.3 | 3.7 (3*83 + 7) | Yes | |
| 34535 | 7.072289 | 7.1.5 | 5.1.7 (5*83^2 + 83 + 7) | No | |
| 0 | 10.000000 | 0 | 0 (0) | No | |
| 185914 | 14.000000 | 77.81.26 | 26.81.77 (26*83^2 + 81*83 + 77) | No | |
| 186170 | 14.000000 | 1.2.27 | 27.2.1 (27*83^2 + 2*83 + 1) | No |
These are the training products that have the "POLARIZED" tag (processing sequence 3848). 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 |
|---|---|---|---|---|---|---|---|
| 32742 | Belize | 186170 | RECYCLED METAL | 185914 | none | ||
| 32743 | Nassau | 185914 | AVIATOR, RECYCLED METAL | 185658 | none | ||
| 32727 | Russell Clip On | 34535 | none | 34279 | ECO-PLASTIC, TORTOISE | ||
| 32739 | Iona Clip On | 34535 | none | 34279 | ECO-PLASTIC, TORTOISE | ||
| 31310 | Logan | 256 | none | 0 | none | ||
| 19096 | Bonito | 256 | none | 0 | none | ||
| 27005 | The Montauk | 256 | none | 0 | none | ||
| 28976 | Hook | 256 | none | 0 | none | ||
| 30333 | Hull | 256 | none | 0 | none | ||
| 32746 | Federal Wood | 256 | none | 0 | none | ||
| 32736 | Aerial LL Polar | 0 | X LARGE | -256 | ECO-PLASTIC | ||
| 32744 | Cebu | 0 | AVIATOR, RECYCLED METAL | -256 | none | ||
| 32753 | Deadlock LL Polar | 0 | X LARGE | -256 | ECO-PLASTIC, TORTOISE, WRAP | ||
| 32751 | Atlas | 0 | AVIATOR | -256 | ECO-PLASTIC, TORTOISE | ||
| 32741 | Aspen | 0 | AVIATOR, RECYCLED METAL | -256 | none |