Fold 3 - Understanding why coefficient 51100546 was selected
Tag: RND
Selected Coefficient: 51100546
Taxonomy Path: 0.70.54.0.2
Taxonomy Name:
Products with this tag: 5
Unique residual values tried: 4
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 | 2.014085 | 0.70.54.0.2 | 2.0.54.70.0 (2*71^4 + 54*71^2 + 70*71) | Yes | |
| -312542 | 2.028169 | -0.0.62 | -62.0.0 (-(62*71^2)) | No | |
| -50823505 | 3.000198 | -1.2.0.0.2 | -2.0.0.2.1 (-(2*71^4 + 2*71 + 1)) | No | |
| -49059155 | 3.000198 | -1.2.5.66.1 | -1.66.5.2.1 (-(25411681 + 66*71^3 + 5*71^2 + 2*71 + 1)) | No |
These are the training products that have the "RND" tag (processing sequence 1180). 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 | ||
| 1116 | 2023-24 Rapids Authentic New Day Jersey | -49059155 | ELS PW 14667, RAPIDS MENS | -100159701 | none | ||
| 1111 | 2023-24 Rapids Alt Kit Crew Sock - Burgundy/Blue | -50823505 | ELS PW 14667, RAPIDS MENS | -101924051 | none |