Fold 2 - Understanding why coefficient -143546356 was selected
Tag: HORIZONTAL
Selected Coefficient: -143546356
Taxonomy Path: -14.3.4.2.3
Taxonomy Name:
Products with this tag: 4
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? |
|---|---|---|---|---|---|
| -143546356 | 2.000000 | -14.3.4.2.3 | -3.2.4.3.14 (-(3*83^4 + 2*83^3 + 4*83^2 + 3*83 + 14)) | Yes | |
| -7058 | 3.000000 | -3.2.1 | -1.2.3 (-(6889 + 2*83 + 3)) | No | |
| 0 | 3.000000 | 0 | 0 (0) | No |
These are the training products that have the "HORIZONTAL" tag (processing sequence 4768). 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 |
|---|---|---|---|---|---|---|---|
| 7881 | 513 Migos | 0 | OIL | 143546356 | PAINTING, CANVAS, FOOTBALL | ||
| 7871 | Roebling Suspension Bridge, Early Morning | -7058 | LANDSCAPE, OIL | 143539298 | PAINTING, CANVAS | ||
| 7894 | Neutral Tray | -143546356 | FUSED GLASS, TRAY | 0 | none | ||
| 7896 | Rainbow Tray | -143546356 | FUSED GLASS, TRAY | 0 | none |