Fold 0 - Understanding why coefficient 51100546 was selected
Tag: RND
Selected Coefficient: 51100546
Taxonomy Path: 0.70.54.0.2
Taxonomy Name:
Products with this tag: 4
Unique residual values tried: 3
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? |
|---|---|---|---|---|---|
| 51100546 | 1.014085 | 0.70.54.0.2 | 2.0.54.70.0 (2*71^4 + 54*71^2 + 70*71) | Yes | |
| -312542 | 1.028169 | -0.0.62 | -62.0.0 (-(62*71^2)) | No | |
| -50823505 | 3.000000 | -1.2.0.0.2 | -2.0.0.2.1 (-(2*71^4 + 2*71 + 1)) | No |
These are the training products that have the "RND" tag (processing sequence 1988). 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 |
|---|---|---|---|---|---|---|---|
| 1117 | 2023-24 Rapids Women's New Day Jersey | 51100546 | ELS PW 14667 | 0 | none | ||
| 1119 | 2023-24 Rapids Youth New Day Jersey | 51100546 | ELS PW 14667 | 0 | none | ||
| 1052 | 2023-24 Rapids Alt Hook Sublimated Scarf | -312542 | ELS PW 14667 | -51413088 | none | ||
| 1111 | 2023-24 Rapids Alt Kit Crew Sock - Burgundy/Blue | -50823505 | ELS PW 14667, RAPIDS MENS | -101924051 | none |