Fold 4 - Understanding why coefficient 501171 was selected
Tag: TABLE
Selected Coefficient: 501171
Taxonomy Path: 74.23.1.1
Taxonomy Name:
Products with this tag: 2
Unique residual values tried: 2
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? |
|---|---|---|---|---|---|
| 501171 | 1.000000 | 74.23.1.1 | 1.1.23.74 (493039 + 6241 + 23*79 + 74) | Yes | |
| 994225 | 1.000000 | 10.24.1.2 | 2.1.24.10 (2*79^3 + 6241 + 24*79 + 10) | Furniture > Tables > Accent Tables > End Tables | No |
These are the training products that have the "TABLE" tag (processing sequence 3397). 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 | 994225 | Furniture > Tables > Accent Tables > End Tables | none | 493054 | MARBLE | |
| 5143 | Handmade Magic the Gathering Wooden Table | 501171 | RESIN | 0 | ART |