Fold 1 - Understanding why coefficient 165503 was selected
Tag: OFF WHITE
Selected Coefficient: 165503
Taxonomy Path: 1.2.24
Taxonomy Name:
Products with this tag: 8
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? |
|---|---|---|---|---|---|
| 165503 | 4.024096 | 1.2.24 | 24.2.1 (24*83^2 + 2*83 + 1) | Yes | |
| 27640 | 4.036145 | 1.1.4 | 4.1.1 (4*83^2 + 83 + 1) | No | |
| 55777 | 4.036145 | 1.8.8 | 8.8.1 (8*83^2 + 8*83 + 1) | No | |
| 2287148 | 6.012048 | 0.0.0.4 | 4.0.0.0 (4*83^3) | No | |
| 667462096 | 6.012048 | 0.8.27.5.14 | 14.5.27.8.0 (14*83^4 + 5*83^3 + 27*83^2 + 8*83) | No | |
| -661428 | 7.000000 | -1.1.13.1 | -1.13.1.1 (-(571787 + 13*83^2 + 83 + 1)) | No | |
| 383738894 | 7.000000 | 14.11.10.7.8 | 8.7.10.11.14 (8*83^4 + 7*83^3 + 10*83^2 + 11*83 + 14) | No |
These are the training products that have the "OFF WHITE" tag (processing sequence 6653). 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 | 667296593 | none | ||
| 18665 | Oyster Plate- White/Blue | 383738894 | none | 383573391 | none | ||
| 1007 | Marie | 2287148 | SHORT SLEEVES | 2121645 | none | ||
| 30444 | AIR GUN 1 LAPEL PIN | 165503 | none | 0 | none | ||
| 30409 | OFF-WHITE GUN LAPEL PIN | 165503 | none | 0 | none | ||
| 9407 | CRU SIGNATURE: OFF WHITE TRAINERS | 55777 | none | -109726 | AW22 | ||
| 917 | Evelyn Ivory | 27640 | none | -137863 | none | ||
| 869 | Daosa T-shirt | -661428 | TOPS, EUROPEAN CLOTHING | -826931 | EUROPEAN STYLES, SEQUINS |