Fold 1 - Understanding why coefficient 599295 was selected
Tag: ELS PW 14667
Selected Coefficient: 599295
Taxonomy Path: 1.2.17.1
Taxonomy Name: Apparel & Accessories > Clothing Accessories > Hats > Baseball Caps
Products with this tag: 11
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? |
|---|---|---|---|---|---|
| 599295 | 0.063614 | 1.2.17.1 | 1.17.2.1 (493039 + 17*79^2 + 2*79 + 1) | Apparel & Accessories > Clothing Accessories > Hats > Baseball Caps | Yes |
| 5036646 | 0.063618 | 1.2.17.10 | 10.17.2.1 (10*79^3 + 17*79^2 + 2*79 + 1) | Apparel & Accessories > Clothing Accessories > Hats > Snapback Caps | No |
| 162425 | 0.063932 | 1.2.26 | 26.2.1 (26*79^2 + 2*79 + 1) | Apparel & Accessories > Clothing Accessories > Scarves & Shawls | No |
| 1591535 | 0.076430 | 1.1.18.3 | 3.18.1.1 (3*79^3 + 18*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Socks > Crew Socks | No |
| 78892561 | 0.076430 | 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 |
| 3532486 | 0.076590 | 1.1.13.7 | 7.13.1.1 (7*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > Shirts | No |
These are the training products that have the "ELS PW 14667" tag (processing sequence 1277). 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 | 78293266 | RND | |
| 1119 | 2023-24 Rapids Youth New Day Jersey | 78892561 | Apparel & Accessories > Clothing > Activewear > Activewear Tops > T-Shirts | none | 78293266 | RND | |
| 1141 | 2023 Rapids MLS Kick Off 9FIFTY Snapback Hat | 5036646 | Apparel & Accessories > Clothing Accessories > Hats > Snapback Caps | none | 4437351 | none | |
| 1191 | Colorado Rapids 2022-23 Primary Authentic Jersey | 3532486 | Apparel & Accessories > Clothing > Clothing Tops > Shirts | none | 2933191 | RAPIDS MENS | |
| 1111 | 2023-24 Rapids Alt Kit Crew Sock - Burgundy/Blue | 1591535 | Apparel & Accessories > Clothing > Socks > Crew Socks | none | 992240 | RAPIDS MENS, RND | |
| 1110 | 2023-24 Rapids Alt Kit Crew Sock - Blue/Blue | 1591535 | Apparel & Accessories > Clothing > Socks > Crew Socks | none | 992240 | RAPIDS MENS, RND | |
| 1143 | 2023 Rapids MLS Kick Off 9TWENTY Adjustable Hat | 599295 | Apparel & Accessories > Clothing Accessories > Hats > Baseball Caps | none | 0 | none | |
| 1144 | 2023 Rapids MLS Kick Off 9TWENTY Adjustable Hat - Black | 599295 | Apparel & Accessories > Clothing Accessories > Hats > Baseball Caps | none | 0 | none | |
| 1271 | Rapids Ladies Micro Logo 9TWENTY Adjustable Hat | 599295 | Apparel & Accessories > Clothing Accessories > Hats > Baseball Caps | none | 0 | none | |
| 1278 | Rapids Speckled Burgundy & White Scarf | 162425 | Apparel & Accessories > Clothing Accessories > Scarves & Shawls | none | -436870 | none | |
| 1052 | 2023-24 Rapids Alt Hook Sublimated Scarf | 162425 | Apparel & Accessories > Clothing Accessories > Scarves & Shawls | none | -436870 | RND |