Fold 4 - Understanding why coefficient 1026724 was selected
Tag: CENTERPIECE
Selected Coefficient: 1026724
Taxonomy Path: 14.3.66.1
Taxonomy Name: Home & Garden > Decor > Vase Fillers & Table Scatters > Table Scatters
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? |
|---|---|---|---|---|---|
| 1026724 | 0.012193 | 14.3.66.1 | 1.66.3.14 (571787 + 66*83^2 + 3*83 + 14) | Home & Garden > Decor > Vase Fillers & Table Scatters > Table Scatters | Yes |
| 399825 | 0.012339 | 14.3.58 | 58.3.14 (58*83^2 + 3*83 + 14) | No | |
| 668488820 | 0.036145 | 14.11.10.7.14 | 14.7.10.11.14 (14*83^4 + 7*83^3 + 10*83^2 + 11*83 + 14) | No |
These are the training products that have the "CENTERPIECE" tag (processing sequence 4749). 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 |
|---|---|---|---|---|---|---|---|
| 18655 | Large Bowl | 668488820 | none | 667462096 | OFF WHITE | ||
| 13038 | Naruto Table Centerpiece Kit | 5pcs | 1026724 | Home & Garden > Decor > Vase Fillers & Table Scatters > Table Scatters | none | 0 | none | |
| 13229 | Spa Party Table Centerpiece Kit | 7pcs | 1026724 | Home & Garden > Decor > Vase Fillers & Table Scatters > Table Scatters | none | 0 | none | |
| 13028 | Hot Wheels Table Centerpiece Kit | 4pcs | 399825 | none | -626899 | none |