Fold 0 - Understanding why coefficient 443751 was selected
Tag: ELS PW 14667
Selected Coefficient: 443751
Taxonomy Path: 1.2.17.1
Taxonomy Name: Apparel & Accessories > Clothing Accessories > Hats > Baseball Caps
Products with this tag: 8
Unique residual values tried: 6
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? |
|---|---|---|---|---|---|
| 443751 | 0.056539 | 1.2.17.1 | 1.17.2.1 (357911 + 17*71^2 + 2*71 + 1) | Apparel & Accessories > Clothing Accessories > Hats > Baseball Caps | Yes |
| 3664950 | 0.056542 | 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 |
| 51544297 | 0.056735 | 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 |
| 131209 | 0.056933 | 1.2.26 | 26.2.1 (26*71^2 + 2*71 + 1) | Apparel & Accessories > Clothing Accessories > Scarves & Shawls | No |
| 1164543 | 0.056933 | 1.1.18.3 | 3.18.1.1 (3*71^3 + 18*71^2 + 71 + 1) | Apparel & Accessories > Clothing > Socks > Crew Socks | No |
| 2928893 | 0.056933 | 1.1.13.8 | 8.13.1.1 (8*71^3 + 13*71^2 + 71 + 1) | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | No |
These are the training products that have the "ELS PW 14667" tag (processing sequence 699). 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 | 51100546 | FPM, RND | |
| 1119 | 2023-24 Rapids Youth New Day Jersey | 51544297 | Apparel & Accessories > Clothing > Activewear > Activewear Tops > T-Shirts | none | 51100546 | FPM, RND | |
| 1141 | 2023 Rapids MLS Kick Off 9FIFTY Snapback Hat | 3664950 | Apparel & Accessories > Clothing Accessories > Hats > Snapback Caps | none | 3221199 | none | |
| 1116 | 2023-24 Rapids Authentic New Day Jersey | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 2485142 | FPM, RND | |
| 1110 | 2023-24 Rapids Alt Kit Crew Sock - Blue/Blue | 1164543 | Apparel & Accessories > Clothing > Socks > Crew Socks | none | 720792 | FPM, RND | |
| 1143 | 2023 Rapids MLS Kick Off 9TWENTY Adjustable Hat | 443751 | Apparel & Accessories > Clothing Accessories > Hats > Baseball Caps | none | 0 | none | |
| 1144 | 2023 Rapids MLS Kick Off 9TWENTY Adjustable Hat - Black | 443751 | Apparel & Accessories > Clothing Accessories > Hats > Baseball Caps | none | 0 | none | |
| 1278 | Rapids Speckled Burgundy & White Scarf | 131209 | Apparel & Accessories > Clothing Accessories > Scarves & Shawls | none | -312542 | FPM, KSENH |