Fold 0 - Understanding why coefficient 71471381 was selected
Tag: FUSED GLASS
Selected Coefficient: 71471381
Taxonomy Path: 12.1.49.57.2
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? |
|---|---|---|---|---|---|
| 71471381 | 3.000000 | 12.1.49.57.2 | 2.57.49.1.12 (2*71^4 + 57*71^3 + 49*71^2 + 71 + 12) | Yes | |
| 76613491 | 3.000000 | 18.5.4.1.3 | 3.1.4.5.18 (3*71^4 + 357911 + 4*71^2 + 5*71 + 18) | No | |
| 79537198 | 3.000000 | 16.4.16.9.3 | 3.9.16.4.16 (3*71^4 + 9*71^3 + 16*71^2 + 4*71 + 16) | No | |
| 82360003 | 3.000000 | 3.2.8.17.3 | 3.17.8.2.3 (3*71^4 + 17*71^3 + 8*71^2 + 2*71 + 3) | No |
These are the training products that have the "FUSED GLASS" tag (processing sequence 1243). 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 |
|---|---|---|---|---|---|---|---|
| 7895 | Organic Vessle | 82360003 | GREEN, YELLOW, BOWL, ABSTRACT, BRIGHT COLORS | 10888622 | none | ||
| 7909 | Retro Mesh Series #1.5 (3) | 79537198 | BLACK, GREEN, YELLOW, ABSTRACT, BRIGHT COLORS | 8065817 | SQUARE | ||
| 7907 | Retro Mesh Blue Series #1.5 (2) | 76613491 | GREEN, ABSTRACT, BRIGHT COLORS | 5142110 | none | ||
| 7906 | Retro Mesh Black Series #1.5 | 71471381 | BLACK, WHITE, GREY, ABSTRACT | 0 | none |