Fold 1 - Understanding why coefficient 599295 was selected
Tag: RAPIDS HAT
Selected Coefficient: 599295
Taxonomy Path: 1.2.17.1
Taxonomy Name: Apparel & Accessories > Clothing Accessories > Hats > Baseball Caps
Products with this tag: 5
Unique residual values tried: 3
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 | 0.000004 | 1.2.17.1 | 1.17.2.1 (493039 + 17*79^2 + 2*79 + 1) | Apparel & Accessories > Clothing Accessories > Hats > Baseball Caps | Yes |
| 1092334 | 0.000008 | 1.2.17.2 | 2.17.2.1 (2*79^3 + 17*79^2 + 2*79 + 1) | Apparel & Accessories > Clothing Accessories > Hats > Beanies | No |
| 5036646 | 0.000008 | 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 |
These are the training products that have the "RAPIDS HAT" tag (processing sequence 2644). 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 |
|---|---|---|---|---|---|---|---|
| 1141 | 2023 Rapids MLS Kick Off 9FIFTY Snapback Hat | 5036646 | Apparel & Accessories > Clothing Accessories > Hats > Snapback Caps | none | 4437351 | none | |
| 1272 | Rapids Repeat SP23 Knit Pom | 1092334 | Apparel & Accessories > Clothing Accessories > Hats > Beanies | none | 493039 | none | |
| 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 |