Fold 1 - Understanding why coefficient -1198431 was selected
Tag: MD
Selected Coefficient: -1198431
Taxonomy Path: -1.2.34.2
Taxonomy Name:
Products with this tag: 7
Unique residual values tried: 7
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? |
|---|---|---|---|---|---|
| -106256 | 4.012818 | -1.2.17 | -17.2.1 (-(17*79^2 + 2*79 + 1)) | No | |
| -1198431 | 4.012818 | -1.2.34.2 | -2.34.2.1 (-(2*79^3 + 34*79^2 + 2*79 + 1)) | Yes | |
| -9030807 | 4.025316 | -1.1.25.18 | -18.25.1.1 (-(18*79^3 + 25*79^2 + 79 + 1)) | No | |
| 74923205 | 5.000160 | 0.0.76.72.1 | 1.72.76.0.0 (38950081 + 72*79^3 + 76*79^2) | No | |
| 0 | 5.000160 | 0 | 0 (0) | No | |
| -599114 | 6.000000 | -57.78.16.1 | -1.16.78.57 (-(493039 + 16*79^2 + 78*79 + 57)) | No | |
| 4350701 | 6.000000 | 13.9.65.8 | 8.65.9.13 (8*79^3 + 65*79^2 + 9*79 + 13) | No |
These are the training products that have the "MD" tag (processing sequence 2021). 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 |
|---|---|---|---|---|---|---|---|
| 10577 | Mercedes AMG Petronas F1 Bomber Jacket | 74923205 | APPAREL | 76121636 | none | ||
| 8720 | Mercedes Benz AMG Petronas F1 Thermal Drink Tumbler -Black | 4350701 | ACCESSORIES | 5549132 | 2022 | ||
| 6671 | Mercedes AMG Petronas F1 2023 Women's Driver T-Shirt - Black/White | 0 | LEWIS HAMILTON, APPAREL, GEORGE RUSSELL | 1198431 | none | ||
| 8670 | BMW Motorsports Puma Beanie- Black | -106256 | 2021, ACCESSORIES | 1092175 | none | ||
| 8878 | Mercedes Benz AMG Petronas F1 Water Bottle-Black | -599114 | ACCESSORIES | 599317 | 2022 | ||
| 8719 | Red Bull Racing F1 Lanyard - Navy | -1198431 | 2021, ACCESSORIES | 0 | none | ||
| 8689 | Porsche Design Women's Functional Pique Polo - Dark Blue | -9030807 | BLUE, APPAREL | -7832376 | none |