Fold 2 - Understanding why coefficient -5806807 was selected
Tag: WEDGES & HEELS
Selected Coefficient: -5806807
Taxonomy Path: -1.65.15.16
Taxonomy Name:
Products with this tag: 3
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? |
|---|---|---|---|---|---|
| -5806807 | 1.014085 | -1.65.15.16 | -16.15.65.1 (-(16*71^3 + 15*71^2 + 65*71 + 1)) | Yes | |
| -2928893 | 1.014085 | -1.1.13.8 | -8.13.1.1 (-(8*71^3 + 13*71^2 + 71 + 1)) | No | |
| -2877914 | 2.000000 | -0.64.2.8 | -8.2.64.0 (-(8*71^3 + 2*71^2 + 64*71)) | No |
These are the training products that have the "WEDGES & HEELS" tag (processing sequence 2374). 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 |
|---|---|---|---|---|---|---|---|
| 9756 | Morgen Wedge Light Pink | -2877914 | 2023LAUNCH | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | |
| 9724 | Magic White Sandal | -2928893 | SANDALS, 2023LAUNCH | 2877914 | none | ||
| 9743 | Morgen Wedge White | -5806807 | WHITE, 2023LAUNCH | 0 | none |