Fold 4 - Understanding why coefficient -117705260 was selected
Tag: HORIZONTAL
Selected Coefficient: -117705260
Taxonomy Path: -0.0.58.1.3
Taxonomy Name:
Products with this tag: 4
Unique residual values tried: 4
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 | 2.000160 | -0.0.58.1.3 | -3.1.58.0.0 (-(3*79^4 + 493039 + 58*79^2)) | Yes | |
| 0 | 2.000160 | 0 | 0 (0) | No | |
| -110116044 | 3.000000 | -77.76.26.65.2 | -2.65.26.76.77 (-(2*79^4 + 65*79^3 + 26*79^2 + 76*79 + 77)) | No | |
| -4025525 | 3.000000 | -1.1.13.8 | -8.13.1.1 (-(8*79^3 + 13*79^2 + 79 + 1)) | No |
These are the training products that have the "HORIZONTAL" tag (processing sequence 1694). 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 | 0 | WHITE, OIL, ORANGE, BLUE, CANVAS | 117705260 | none | ||
| 7881 | 513 Migos | -4025525 | GREEN, WHITE, OIL, ORANGE, BLUE, CANVAS | 113679735 | none | ||
| 7894 | Neutral Tray | -110116044 | WHITE, ABSTRACT | 7589216 | none | ||
| 7896 | Rainbow Tray | -117705260 | GREEN, ORANGE, BLUE, ABSTRACT | 0 | RAINBOW |