Fold 1 - Understanding why coefficient -4025525 was selected
Tag: SAGE
Selected Coefficient: -4025525
Taxonomy Path: -1.1.13.8
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? |
|---|---|---|---|---|---|
| -4025525 | 1.000160 | -1.1.13.8 | -8.13.1.1 (-(8*79^3 + 13*79^2 + 79 + 1)) | Yes | |
| -1591535 | 1.000160 | -1.1.18.3 | -3.18.1.1 (-(3*79^3 + 18*79^2 + 79 + 1)) | No | |
| 0 | 2.000000 | 0 | 0 (0) | No |
These are the training products that have the "SAGE" tag (processing sequence 2530). 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 |
|---|---|---|---|---|---|---|---|
| 205 | White Sage Smudge Stick | 0 | INCENSE | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | |
| 915 | Cast Iron Burner Cauldron with wooden handle | -1591535 | CHARCOAL, INCENSE | 2433990 | none | ||
| 9515 | Dalia Sage Sandal | -4025525 | SANDALS, GREEN | 0 | SHOES |