Fold 3 - Understanding why coefficient 905196 was selected
Tag: CENTERPIECE
Selected Coefficient: 905196
Taxonomy Path: 14.3.66.1
Taxonomy Name: Home & Garden > Decor > Vase Fillers & Table Scatters > Table Scatters
Products with this tag: 5
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? |
|---|---|---|---|---|---|
| 905196 | 0.012818 | 14.3.66.1 | 1.66.3.14 (493039 + 66*79^2 + 3*79 + 14) | Home & Garden > Decor > Vase Fillers & Table Scatters > Table Scatters | Yes |
| 362229 | 0.013139 | 14.3.58 | 58.3.14 (58*79^2 + 3*79 + 14) | Home & Garden > Decor > Seasonal & Holiday Decorations | No |
| 548815700 | 0.050633 | 14.11.10.7.14 | 14.7.10.11.14 (14*79^4 + 7*79^3 + 10*79^2 + 11*79 + 14) | Home & Garden > Kitchen & Dining > Tableware > Serveware > Serving Bowls | No |
These are the training products that have the "CENTERPIECE" tag (processing sequence 2663). 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 | 548815700 | Home & Garden > Kitchen & Dining > Tableware > Serveware > Serving Bowls | none | 547910504 | none | |
| 13038 | Naruto Table Centerpiece Kit | 5pcs | 905196 | Home & Garden > Decor > Vase Fillers & Table Scatters > Table Scatters | none | 0 | NARUTO | |
| 13085 | Pawsome Party Table Centerpiece Kit | 9 pcs | 905196 | Home & Garden > Decor > Vase Fillers & Table Scatters > Table Scatters | none | 0 | none | |
| 13229 | Spa Party Table Centerpiece Kit | 7pcs | 905196 | Home & Garden > Decor > Vase Fillers & Table Scatters > Table Scatters | none | 0 | none | |
| 13028 | Hot Wheels Table Centerpiece Kit | 4pcs | 362229 | Home & Garden > Decor > Seasonal & Holiday Decorations | none | -542967 | none |