Fold 4 - Understanding why coefficient -2810796 was selected
Tag: PATRIOTIC
Selected Coefficient: -2810796
Taxonomy Path: -1.1.76.4
Taxonomy Name:
Products with this tag: 5
Unique residual values tried: 5
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? |
|---|---|---|---|---|---|
| -2810796 | 4.000000 | -1.1.76.4 | -4.76.1.1 (-(4*83^3 + 76*83^2 + 83 + 1)) | Yes | |
| -1226578 | 4.000000 | -4.4.12.2 | -2.12.4.4 (-(2*83^3 + 12*83^2 + 4*83 + 4)) | No | |
| -613289 | 4.000000 | -2.2.6.1 | -1.6.2.2 (-(571787 + 6*83^2 + 2*83 + 2)) | No | |
| 0 | 4.000000 | 0 | 0 (0) | No | |
| 5235724 | 4.000000 | 1.1.13.9 | 9.13.1.1 (9*83^3 + 13*83^2 + 83 + 1) | No |
These are the training products that have the "PATRIOTIC" tag (processing sequence 5679). 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 |
|---|---|---|---|---|---|---|---|
| 24647 | Patriotic Embroidered RUN Flowy Tank | 5235724 | none | 8046520 | AMERICA | ||
| 42 | Patriotic ‘AMERICA’ Bikini | 0 | BIKINI | 2810796 | AMERICA | ||
| 22160 | We Salute Dog Bandana | -613289 | FOURTH OF JULY, DOG BANDANA | 2197507 | AMERICA | ||
| 17657 | Liberty Floral Dog Bandana | -1226578 | GIRLY, FOURTH OF JULY, DOG BANDANA | 1584218 | AMERICA | ||
| 44 | Patriotic ‘AMERICA’ Women’s Crop Tee | -2810796 | SHIRT | 0 | CROP TOP, AMERICA |