Fold 3 - Understanding why coefficient 124830 was selected
Tag: FUSED GLASS
Selected Coefficient: 124830
Taxonomy Path: 10.0.20
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? |
|---|---|---|---|---|---|
| 124830 | 2.000160 | 10.0.20 | 20.0.10 (20*79^2 + 10) | Yes | |
| 111857453 | 2.000160 | 10.0.69.68.2 | 2.68.69.0.10 (2*79^4 + 68*79^3 + 69*79^2 + 10) | No | |
| 113854657 | 3.000000 | 15.1.73.72.2 | 2.72.73.1.15 (2*79^4 + 72*79^3 + 73*79^2 + 79 + 15) | No | |
| 115446192 | 3.000000 | 16.2.12.76.2 | 2.76.12.2.16 (2*79^4 + 76*79^3 + 12*79^2 + 2*79 + 16) | No |
These are the training products that have the "FUSED GLASS" tag (processing sequence 1475). 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 |
|---|---|---|---|---|---|---|---|
| 7907 | Retro Mesh Blue Series #1.5 (2) | 115446192 | GREEN, BLUE, ABSTRACT, BRIGHT COLORS | 115321362 | TEAL | ||
| 7909 | Retro Mesh Series #1.5 (3) | 113854657 | GREEN, ORANGE, BLUE, ABSTRACT, BRIGHT COLORS | 113729827 | SQUARE | ||
| 7906 | Retro Mesh Black Series #1.5 | 111857453 | GREY, ABSTRACT | 111732623 | none | ||
| 7894 | Neutral Tray | 124830 | BROWN, ABSTRACT | 0 | none |