Fold 1 - Understanding why coefficient -117705260 was selected
Tag: HORIZONTAL
Selected Coefficient: -117705260
Taxonomy Path: -0.0.58.1.3
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? |
|---|---|---|---|---|---|
| -117705260 | 1.000160 | -0.0.58.1.3 | -3.1.58.0.0 (-(3*79^4 + 493039 + 58*79^2)) | Yes | |
| 0 | 1.000160 | 0 | 0 (0) | No | |
| 4025525 | 2.000000 | 1.1.13.8 | 8.13.1.1 (8*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | No |
These are the training products that have the "HORIZONTAL" tag (processing sequence 1695). 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 |
|---|---|---|---|---|---|---|---|
| 7871 | Roebling Suspension Bridge, Early Morning | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | BLUE, ORANGE, OIL | 121730785 | NATURE | |
| 7881 | 513 Migos | 0 | BLUE, ORANGE, GREEN, OIL | 117705260 | none | ||
| 7896 | Rainbow Tray | -117705260 | BLUE, ORANGE, GREEN, ABSTRACT | 0 | none |