Fold 3 - Understanding why coefficient -78892561 was selected
Tag: RND
Selected Coefficient: -78892561
Taxonomy Path: -1.1.1.2.2
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? |
|---|---|---|---|---|---|
| -78892561 | 2.000160 | -1.1.1.2.2 | -2.2.1.1.1 (-(2*79^4 + 2*79^3 + 6241 + 79 + 1)) | Yes | |
| -76458571 | 2.000320 | -1.1.6.76.1 | -1.76.6.1.1 (-(38950081 + 76*79^3 + 6*79^2 + 79 + 1)) | No | |
| -1429110 | 3.012658 | -0.78.70.2 | -2.70.78.0 (-(2*79^3 + 70*79^2 + 78*79)) | No | |
| 77301026 | 3.012658 | 0.0.62.77.1 | 1.77.62.0.0 (38950081 + 77*79^3 + 62*79^2) | No |
These are the training products that have the "RND" tag (processing sequence 2475). 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 | 77301026 | ELS PW 14667 | 156193587 | none | ||
| 1052 | 2023-24 Rapids Alt Hook Sublimated Scarf | -1429110 | ELS PW 14667 | 77463451 | none | ||
| 1116 | 2023-24 Rapids Authentic New Day Jersey | -76458571 | ELS PW 14667, RAPIDS MENS | 2433990 | none | ||
| 1110 | 2023-24 Rapids Alt Kit Crew Sock - Blue/Blue | -78892561 | ELS PW 14667, RAPIDS MENS | 0 | none | ||
| 1111 | 2023-24 Rapids Alt Kit Crew Sock - Burgundy/Blue | -78892561 | ELS PW 14667, RAPIDS MENS | 0 | none |