Fold 4 - Understanding why coefficient 1164543 was selected
Tag: ELS PW 14667
Selected Coefficient: 1164543
Taxonomy Path: 1.1.18.3
Taxonomy Name: Apparel & Accessories > Clothing > Socks > Crew Socks
Products with this tag: 10
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? |
|---|---|---|---|---|---|
| 51544297 | 0.057132 | 1.1.1.2.2 | 2.2.1.1.1 (2*71^4 + 2*71^3 + 5041 + 71 + 1) | Apparel & Accessories > Clothing > Activewear > Activewear Tops > T-Shirts | No |
| 1164543 | 0.057132 | 1.1.18.3 | 3.18.1.1 (3*71^3 + 18*71^2 + 71 + 1) | Apparel & Accessories > Clothing > Socks > Crew Socks | Yes |
| 2928893 | 0.057134 | 1.1.13.8 | 8.13.1.1 (8*71^3 + 13*71^2 + 71 + 1) | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | No |
| 2570982 | 0.057134 | 1.1.13.7 | 7.13.1.1 (7*71^3 + 13*71^2 + 71 + 1) | Apparel & Accessories > Clothing > Clothing Tops > Shirts | No |
| 443751 | 0.084708 | 1.2.17.1 | 1.17.2.1 (357911 + 17*71^2 + 2*71 + 1) | Apparel & Accessories > Clothing Accessories > Hats > Baseball Caps | No |
| 3664950 | 0.084711 | 1.2.17.10 | 10.17.2.1 (10*71^3 + 17*71^2 + 2*71 + 1) | Apparel & Accessories > Clothing Accessories > Hats > Snapback Caps | No |
| 131209 | 0.085102 | 1.2.26 | 26.2.1 (26*71^2 + 2*71 + 1) | Apparel & Accessories > Clothing Accessories > Scarves & Shawls | No |
These are the training products that have the "ELS PW 14667" tag (processing sequence 685). 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 | 51544297 | Apparel & Accessories > Clothing > Activewear > Activewear Tops > T-Shirts | none | 50379754 | RND | |
| 1119 | 2023-24 Rapids Youth New Day Jersey | 51544297 | Apparel & Accessories > Clothing > Activewear > Activewear Tops > T-Shirts | none | 50379754 | RND | |
| 1141 | 2023 Rapids MLS Kick Off 9FIFTY Snapback Hat | 3664950 | Apparel & Accessories > Clothing Accessories > Hats > Snapback Caps | none | 2500407 | RAPIDS HAT | |
| 1116 | 2023-24 Rapids Authentic New Day Jersey | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 1764350 | RAPIDS MENS, RND | |
| 1191 | Colorado Rapids 2022-23 Primary Authentic Jersey | 2570982 | Apparel & Accessories > Clothing > Clothing Tops > Shirts | none | 1406439 | RAPIDS MENS | |
| 1110 | 2023-24 Rapids Alt Kit Crew Sock - Blue/Blue | 1164543 | Apparel & Accessories > Clothing > Socks > Crew Socks | none | 0 | RAPIDS MENS, RND | |
| 1111 | 2023-24 Rapids Alt Kit Crew Sock - Burgundy/Blue | 1164543 | Apparel & Accessories > Clothing > Socks > Crew Socks | none | 0 | RAPIDS MENS, RND | |
| 1271 | Rapids Ladies Micro Logo 9TWENTY Adjustable Hat | 443751 | Apparel & Accessories > Clothing Accessories > Hats > Baseball Caps | none | -720792 | RAPIDS HAT | |
| 1143 | 2023 Rapids MLS Kick Off 9TWENTY Adjustable Hat | 443751 | Apparel & Accessories > Clothing Accessories > Hats > Baseball Caps | none | -720792 | RAPIDS HAT | |
| 1052 | 2023-24 Rapids Alt Hook Sublimated Scarf | 131209 | Apparel & Accessories > Clothing Accessories > Scarves & Shawls | none | -1033334 | RND |