Fold 4 - Understanding why coefficient -571787 was selected
Tag: ELS PW 14667
Selected Coefficient: -571787
Taxonomy Path: -0.0.0.1
Taxonomy Name:
Products with this tag: 8
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? |
|---|---|---|---|---|---|
| -571787 | 4.012195 | -0.0.0.1 | -1.0.0.0 (-(571787)) | Yes | |
| 4574296 | 4.012195 | 0.0.0.8 | 8.0.0.0 (8*83^3) | No | |
| 94227742 | 4.012339 | 0.0.66.81.1 | 1.81.66.0.0 (47458321 + 81*83^3 + 66*83^2) | No | |
| -1660166 | 4.036145 | -0.82.74.2 | -2.74.82.0 (-(2*83^3 + 74*83^2 + 82*83)) | No | |
| -4663937 | 5.000145 | -1.1.13.8 | -8.13.1.1 (-(8*83^3 + 13*83^2 + 83 + 1)) | No | |
| -1839447 | 5.000290 | -1.1.18.3 | -3.18.1.1 (-(3*83^3 + 18*83^2 + 83 + 1)) | No | |
| 179281 | 7.000000 | 1.2.26 | 26.2.1 (26*83^2 + 2*83 + 1) | No |
These are the training products that have the "ELS PW 14667" tag (processing sequence 6675). 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 | 94227742 | RND | 94799529 | none | ||
| 1141 | 2023 Rapids MLS Kick Off 9FIFTY Snapback Hat | 4574296 | RAPIDS HAT | 5146083 | none | ||
| 1278 | Rapids Speckled Burgundy & White Scarf | 179281 | none | 751068 | none | ||
| 1191 | Colorado Rapids 2022-23 Primary Authentic Jersey | -571787 | RAPIDS MENS | 0 | none | ||
| 1052 | 2023-24 Rapids Alt Hook Sublimated Scarf | -1660166 | RND | -1088379 | none | ||
| 1116 | 2023-24 Rapids Authentic New Day Jersey | -1839447 | RND, RAPIDS MENS | -1267660 | none | ||
| 1111 | 2023-24 Rapids Alt Kit Crew Sock - Burgundy/Blue | -4663937 | RND, RAPIDS MENS | -4092150 | none | ||
| 1110 | 2023-24 Rapids Alt Kit Crew Sock - Blue/Blue | -4663937 | RND, RAPIDS MENS | -4092150 | none |