Fold 0 - Understanding why coefficient -443608 was selected
Tag: MD
Selected Coefficient: -443608
Taxonomy Path: -0.0.17.1
Taxonomy Name:
Products with this tag: 6
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? |
|---|---|---|---|---|---|
| -443608 | 4.000003 | -0.0.17.1 | -1.17.0.0 (-(357911 + 17*71^2)) | Yes | |
| 272214 | 4.000003 | 0.0.54 | 54.0.0 (54*71^2) | No | |
| 3151277 | 4.014085 | 13.9.57.8 | 8.57.9.13 (8*71^3 + 57*71^2 + 9*71 + 13) | No | |
| 125970272 | 4.014085 | 13.10.68.67.4 | 4.67.68.10.13 (4*71^4 + 67*71^3 + 68*71^2 + 10*71 + 13) | No | |
| -2928893 | 5.000000 | -1.1.13.8 | -8.13.1.1 (-(8*71^3 + 13*71^2 + 71 + 1)) | No | |
| 3286804 | 5.000000 | 1.1.13.9 | 9.13.1.1 (9*71^3 + 13*71^2 + 71 + 1) | Apparel & Accessories > Clothing > Clothing Tops > Tank Tops | No |
These are the training products that have the "MD" tag (processing sequence 1644). 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 |
|---|---|---|---|---|---|---|---|
| 8760 | Mercedes AMG Petronas F1 George Russell Mug | 125970272 | GEORGE RUSSELL, WOMEN, ACCESSORIES, ADULT | 126413880 | none | ||
| 8670 | BMW Motorsports Puma Beanie- Black | 3286804 | Apparel & Accessories > Clothing > Clothing Tops > Tank Tops | BLACK, ACCESSORIES, ADULT | 3730412 | none | |
| 8720 | Mercedes Benz AMG Petronas F1 Thermal Drink Tumbler -Black | 3151277 | BLACK, WOMEN, ACCESSORIES, ADULT | 3594885 | 2022 | ||
| 8719 | Red Bull Racing F1 Lanyard - Navy | 272214 | NAVY, ACCESSORIES | 715822 | none | ||
| 8785 | Formula 1 Tech Collection F1 Logo Lanyard Black | -443608 | BLACK, ACCESSORIES | 0 | none | ||
| 6671 | Mercedes AMG Petronas F1 2023 Women's Driver T-Shirt - Black/White | -2928893 | BLACK, WHITE, LEWIS HAMILTON, GEORGE RUSSELL, WOMEN | -2485285 | none |