Fold 0 - Understanding why coefficient 48171653 was selected
Tag: RND
Selected Coefficient: 48171653
Taxonomy Path: 70.68.41.63.1
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? |
|---|---|---|---|---|---|
| 48171653 | 0.000397 | 70.68.41.63.1 | 1.63.41.68.70 (25411681 + 63*71^3 + 41*71^2 + 68*71 + 70) | Yes | |
| -2208101 | 0.000595 | -1.2.12.6 | -6.12.2.1 (-(6*71^3 + 12*71^2 + 2*71 + 1)) | No | |
| -443751 | 0.000595 | -1.2.17.1 | -1.17.2.1 (-(357911 + 17*71^2 + 2*71 + 1)) | No |
These are the training products that have the "RND" tag (processing sequence 1184). 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 | 48171653 | ELS PW 14667, FPM | 0 | none | ||
| 1119 | 2023-24 Rapids Youth New Day Jersey | 48171653 | ELS PW 14667, FPM | 0 | none | ||
| 1116 | 2023-24 Rapids Authentic New Day Jersey | -443751 | ELS PW 14667, FPM | -48615404 | none | ||
| 1110 | 2023-24 Rapids Alt Kit Crew Sock - Blue/Blue | -2208101 | ELS PW 14667, FPM | -50379754 | none |