Fold 4 - 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 | 1.000002 | 10.24.1.2 | 2.1.24.10 (2*83^3 + 6889 + 24*83 + 10) | Yes | |
| 580678 | 1.000003 | 10.24.1.1 | 1.1.24.10 (571787 + 6889 + 24*83 + 10) | No | |
| -431197215 | 3.000000 | -14.11.10.7.9 | -9.7.10.11.14 (-(9*83^4 + 7*83^3 + 10*83^2 + 11*83 + 14)) | No |
These are the training products that have the "TABLE" tag (processing sequence 4914). 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 |
|---|---|---|---|---|---|---|---|
| 18971 | Brass and Marble Supper Table | 1152465 | none | 0 | none | ||
| 28827 | Butler Bentley Olive Ash Burl Barrel Table | 1152465 | none | 0 | none | ||
| 5143 | Handmade Magic the Gathering Wooden Table | 580678 | none | -571787 | none | ||
| 19699 | Customizable Handmade Wood & Epoxy Resin River Dining Table | -431197215 | DINING, NO COLOR | -432349680 | none |