Fold 0 - Understanding why coefficient 418398 was selected
Tag: VASE
Selected Coefficient: 418398
Taxonomy Path: 14.3.67
Taxonomy Name: Home & Garden > Decor > Vases
Products with this tag: 5
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? |
|---|---|---|---|---|---|
| 418398 | 0.012658 | 14.3.67 | 67.3.14 (67*79^2 + 3*79 + 14) | Home & Garden > Decor > Vases | Yes |
| 3514566 | 0.050633 | 14.11.10.7 | 7.10.11.14 (7*79^3 + 10*79^2 + 11*79 + 14) | Home & Garden > Kitchen & Dining > Tableware > Serveware | No |
These are the training products that have the "VASE" tag (processing sequence 2225). 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 |
|---|---|---|---|---|---|---|---|
| 19353 | Frey Roche Vase - Smoke | 3514566 | Home & Garden > Kitchen & Dining > Tableware > Serveware | none | 3096168 | none | |
| 19140 | Pleated Amber Vase | 418398 | Home & Garden > Decor > Vases | none | 0 | none | |
| 19217 | Bubbles Vase - Large | 418398 | Home & Garden > Decor > Vases | none | 0 | none | |
| 19275 | Kudu Vase - Lines | 418398 | Home & Garden > Decor > Vases | none | 0 | TERRACOTTA | |
| 19346 | Tessa Vase | 418398 | Home & Garden > Decor > Vases | none | 0 | none |