Fold 3 - Understanding why coefficient 1591535 was selected
Tag: ELS PW 14667
Selected Coefficient: 1591535
Taxonomy Path: 1.1.18.3
Taxonomy Name: Apparel & Accessories > Clothing > Socks > Crew Socks
Products with this tag: 7
Unique residual values tried: 5
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? |
|---|---|---|---|---|---|
| 1591535 | 0.025797 | 1.1.18.3 | 3.18.1.1 (3*79^3 + 18*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Socks > Crew Socks | Yes |
| 3532486 | 0.025799 | 1.1.13.7 | 7.13.1.1 (7*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > Shirts | No |
| 4025525 | 0.025799 | 1.1.13.8 | 8.13.1.1 (8*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | No |
| 78892561 | 0.025957 | 1.1.1.2.2 | 2.2.1.1.1 (2*79^4 + 2*79^3 + 6241 + 79 + 1) | Apparel & Accessories > Clothing > Activewear > Activewear Tops > T-Shirts | No |
| 162425 | 0.063291 | 1.2.26 | 26.2.1 (26*79^2 + 2*79 + 1) | Apparel & Accessories > Clothing Accessories > Scarves & Shawls | No |
These are the training products that have the "ELS PW 14667" tag (processing sequence 1284). 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 | 78892561 | Apparel & Accessories > Clothing > Activewear > Activewear Tops > T-Shirts | none | 77301026 | RND | |
| 1116 | 2023-24 Rapids Authentic New Day Jersey | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 2433990 | RAPIDS MENS, RND | |
| 1191 | Colorado Rapids 2022-23 Primary Authentic Jersey | 3532486 | Apparel & Accessories > Clothing > Clothing Tops > Shirts | none | 1940951 | RAPIDS MENS | |
| 1111 | 2023-24 Rapids Alt Kit Crew Sock - Burgundy/Blue | 1591535 | Apparel & Accessories > Clothing > Socks > Crew Socks | none | 0 | RAPIDS MENS, RND | |
| 1110 | 2023-24 Rapids Alt Kit Crew Sock - Blue/Blue | 1591535 | Apparel & Accessories > Clothing > Socks > Crew Socks | none | 0 | RAPIDS MENS, RND | |
| 1052 | 2023-24 Rapids Alt Hook Sublimated Scarf | 162425 | Apparel & Accessories > Clothing Accessories > Scarves & Shawls | none | -1429110 | RND | |
| 1278 | Rapids Speckled Burgundy & White Scarf | 162425 | Apparel & Accessories > Clothing Accessories > Scarves & Shawls | none | -1429110 | none |