Fold 1 - Understanding why coefficient 1152465 was selected
Tag: TABLE
Selected Coefficient: 1152465
Taxonomy Path: 10.24.1.2
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? |
|---|---|---|---|---|---|
| 1152465 | 0.000147 | 10.24.1.2 | 2.1.24.10 (2*83^3 + 6889 + 24*83 + 10) | Yes | |
| 580678 | 0.000149 | 10.24.1.1 | 1.1.24.10 (571787 + 6889 + 24*83 + 10) | No | |
| 1173132 | 0.000435 | 10.24.4.2 | 2.4.24.10 (2*83^3 + 4*83^2 + 24*83 + 10) | No |
These are the training products that have the "TABLE" tag (processing sequence 4909). 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 |
|---|---|---|---|---|---|---|---|
| 19700 | Customizable Restaurant Dining Table | 1173132 | none | 20667 | NO COLOR | ||
| 18971 | Brass and Marble Supper Table | 1152465 | none | 0 | MARBLE | ||
| 28827 | Butler Bentley Olive Ash Burl Barrel Table | 1152465 | none | 0 | none | ||
| 5143 | Handmade Magic the Gathering Wooden Table | 580678 | none | -571787 | none |