Fold 3 - Understanding why coefficient 1033613 was selected
Tag: REDGUM
Selected Coefficient: 1033613
Taxonomy Path: 14.3.67.1
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? |
|---|---|---|---|---|---|
| 1033613 | 2.012048 | 14.3.67.1 | 1.67.3.14 (571787 + 67*83^2 + 3*83 + 14) | Yes | |
| 39509342 | 2.012048 | 14.11.8.69 | 69.8.11.14 (69*83^3 + 8*83^2 + 11*83 + 14) | No | |
| 101 | 3.000000 | 18.1 | 1.18 (83 + 18) | No | |
| 4588429 | 3.000000 | 23.4.2.8 | 8.2.4.23 (8*83^3 + 2*83^2 + 4*83 + 23) | No |
These are the training products that have the "REDGUM" tag (processing sequence 6749). 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 |
|---|---|---|---|---|---|---|---|
| 25055 | Red Hardwood All-purpose Spoon | 39509342 | none | 38475729 | none | ||
| 25071 | Redgum Knob Handle Walking Stick | 4588429 | none | 3554816 | none | ||
| 25089 | Redgum Burl Vase | 1033613 | none | 0 | none | ||
| 25067 | Redgum Bookends | 101 | none | -1033512 | none |