Fold 1 - Understanding why coefficient -1497249 was selected
Tag: MD
Selected Coefficient: -1497249
Taxonomy Path: -1.1.13.4
Taxonomy Name:
Products with this tag: 4
Unique residual values tried: 4
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? |
|---|---|---|---|---|---|
| -1497249 | 3.000000 | -1.1.13.4 | -4.13.1.1 (-(4*71^3 + 13*71^2 + 71 + 1)) | Yes | |
| -443608 | 3.000000 | -0.0.17.1 | -1.17.0.0 (-(357911 + 17*71^2)) | No | |
| 3286804 | 3.000000 | 1.1.13.9 | 9.13.1.1 (9*71^3 + 13*71^2 + 71 + 1) | Apparel & Accessories > Clothing > Clothing Tops > Tank Tops | No |
| 4314760 | 3.000000 | 19.66.3.12 | 12.3.66.19 (12*71^3 + 3*71^2 + 66*71 + 19) | No |
These are the training products that have the "MD" tag (processing sequence 1652). 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 |
|---|---|---|---|---|---|---|---|
| 8878 | Mercedes Benz AMG Petronas F1 Water Bottle-Black | 4314760 | BLACK, KIDS, 2022, WOMEN, ACCESSORIES, ADULT | 5812009 | none | ||
| 8670 | BMW Motorsports Puma Beanie- Black | 3286804 | Apparel & Accessories > Clothing > Clothing Tops > Tank Tops | BLACK, ACCESSORIES, ADULT | 4784053 | none | |
| 8719 | Red Bull Racing F1 Lanyard - Navy | -443608 | NAVY, ACCESSORIES | 1053641 | none | ||
| 6671 | Mercedes AMG Petronas F1 2023 Women's Driver T-Shirt - Black/White | -1497249 | BLACK, WHITE, LEWIS HAMILTON, GEORGE RUSSELL, WOMEN | 0 | none |