Fold 4 - Understanding why coefficient 1839447 was selected
Tag: RND
Selected Coefficient: 1839447
Taxonomy Path: 1.1.18.3
Taxonomy Name: Apparel & Accessories > Clothing > Socks > Crew Socks
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? |
|---|---|---|---|---|---|
| 1839447 | 0.012339 | 1.1.18.3 | 3.18.1.1 (3*83^3 + 18*83^2 + 83 + 1) | Apparel & Accessories > Clothing > Socks > Crew Socks | Yes |
| 4663937 | 0.012484 | 1.1.13.8 | 8.13.1.1 (8*83^3 + 13*83^2 + 83 + 1) | No | |
| 96067189 | 0.012484 | 1.1.1.2.2 | 2.2.1.1.1 (2*83^4 + 2*83^3 + 6889 + 83 + 1) | No | |
| 179281 | 0.048193 | 1.2.26 | 26.2.1 (26*83^2 + 2*83 + 1) | No |
These are the training products that have the "RND" tag (processing sequence 5690). 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 | 96067189 | none | 94227742 | ELS PW 14667 | ||
| 1116 | 2023-24 Rapids Authentic New Day Jersey | 4663937 | none | 2824490 | RAPIDS MENS, ELS PW 14667 | ||
| 1110 | 2023-24 Rapids Alt Kit Crew Sock - Blue/Blue | 1839447 | Apparel & Accessories > Clothing > Socks > Crew Socks | none | 0 | RAPIDS MENS, ELS PW 14667 | |
| 1111 | 2023-24 Rapids Alt Kit Crew Sock - Burgundy/Blue | 1839447 | Apparel & Accessories > Clothing > Socks > Crew Socks | none | 0 | RAPIDS MENS, ELS PW 14667 | |
| 1052 | 2023-24 Rapids Alt Hook Sublimated Scarf | 179281 | none | -1660166 | ELS PW 14667 |