Fold 0 - Understanding why coefficient 27640 was selected
Tag: OFF WHITE
Selected Coefficient: 27640
Taxonomy Path: 1.1.4
Taxonomy Name:
Products with this tag: 6
Unique residual values tried: 6
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? |
|---|---|---|---|---|---|
| 27640 | 3.012193 | 1.1.4 | 4.1.1 (4*83^2 + 83 + 1) | Yes | |
| 6951085 | 3.012193 | 1.1.13.12 | 12.13.1.1 (12*83^3 + 13*83^2 + 83 + 1) | No | |
| 165503 | 3.024096 | 1.2.24 | 24.2.1 (24*83^2 + 2*83 + 1) | No | |
| -1006886 | 5.000000 | -13.13.63.1 | -1.63.13.13 (-(571787 + 63*83^2 + 13*83 + 13)) | No | |
| 383738894 | 5.000000 | 14.11.10.7.8 | 8.7.10.11.14 (8*83^4 + 7*83^3 + 10*83^2 + 11*83 + 14) | No | |
| 667462096 | 5.000000 | 0.8.27.5.14 | 14.5.27.8.0 (14*83^4 + 5*83^3 + 27*83^2 + 8*83) | No |
These are the training products that have the "OFF WHITE" tag (processing sequence 6103). 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 |
|---|---|---|---|---|---|---|---|
| 18655 | Large Bowl | 667462096 | CENTERPIECE | 667434456 | none | ||
| 18665 | Oyster Plate- White/Blue | 383738894 | none | 383711254 | none | ||
| 1007 | Marie | 6951085 | none | 6923445 | none | ||
| 30409 | OFF-WHITE GUN LAPEL PIN | 165503 | none | 137863 | none | ||
| 917 | Evelyn Ivory | 27640 | none | 0 | none | ||
| 30444 | AIR GUN 1 LAPEL PIN | -1006886 | HYPEBEAST | -1034526 | none |