Fold 4 - Understanding why coefficient 4663937 was selected
Tag: RAPIDS MENS
Selected Coefficient: 4663937
Taxonomy Path: 1.1.13.8
Taxonomy Name:
Products with this tag: 9
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? |
|---|---|---|---|---|---|
| 4663937 | 3.000294 | 1.1.13.8 | 8.13.1.1 (8*83^3 + 13*83^2 + 83 + 1) | Yes | |
| 4092150 | 3.000296 | 1.1.13.7 | 7.13.1.1 (7*83^3 + 13*83^2 + 83 + 1) | No | |
| 7522872 | 3.000296 | 1.1.13.13 | 13.13.1.1 (13*83^3 + 13*83^2 + 83 + 1) | No | |
| 96067189 | 3.000581 | 1.1.1.2.2 | 2.2.1.1.1 (2*83^4 + 2*83^3 + 6889 + 83 + 1) | No | |
| 143525510 | 3.000581 | 1.1.1.2.3 | 3.2.1.1.1 (3*83^4 + 2*83^3 + 6889 + 83 + 1) | No | |
| 0 | 6.000145 | 0 | 0 (0) | No | |
| 2824490 | 6.000290 | 0.0.78.4 | 4.78.0.0 (4*83^3 + 78*83^2) | No |
These are the training products that have the "RAPIDS MENS" tag (processing sequence 6039). 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 |
|---|---|---|---|---|---|---|---|
| 1147 | 2023 Rapids Sleeveless Comp Jersey | 143525510 | none | 138861573 | none | ||
| 1148 | 2023 Rapids S/S CR 96 Tee - Blue | 96067189 | none | 91403252 | none | ||
| 1256 | Rapids Colorblock P/O Hoody | 7522872 | none | 2858935 | none | ||
| 1269 | Rapids CR 96 L/S Tee | 4663937 | none | 0 | none | ||
| 1149 | 2023 Rapids S/S CR 96 Tee - Burgundy | 4663937 | none | 0 | none | ||
| 1191 | Colorado Rapids 2022-23 Primary Authentic Jersey | 4092150 | none | -571787 | ELS PW 14667 | ||
| 1116 | 2023-24 Rapids Authentic New Day Jersey | 2824490 | RND | -1839447 | ELS PW 14667 | ||
| 1110 | 2023-24 Rapids Alt Kit Crew Sock - Blue/Blue | 0 | RND | -4663937 | ELS PW 14667 | ||
| 1111 | 2023-24 Rapids Alt Kit Crew Sock - Burgundy/Blue | 0 | RND | -4663937 | ELS PW 14667 |