Fold 3 - Understanding why coefficient 1349 was selected
Tag: BLUE GRAY EMBROIDERY THREAD
Selected Coefficient: 1349
Taxonomy Path: 6.17
Taxonomy Name: Business & Industrial > Manufacturing
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? |
|---|---|---|---|---|---|
| 1349 | 2.000000 | 6.17 | 17.6 (17*79 + 6) | Business & Industrial > Manufacturing | Yes |
| 120307918 | 3.000000 | 3.2.1.7.3 | 3.7.1.2.3 (3*79^4 + 7*79^3 + 6241 + 2*79 + 3) | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts > Clothing Sewing Materials > Sewing Notions & Fasteners | No |
| 1464793230972 | 3.000000 | 0.0.0.74.2.2.6 | 6.2.2.74.0.0.0 (6*79^6 + 2*79^5 + 2*79^4 + 74*79^3) | No |
These are the training products that have the "BLUE GRAY EMBROIDERY THREAD" tag (processing sequence 3170). 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 |
|---|---|---|---|---|---|---|---|
| 20018 | Madeira Classic Rayon #12 : Color 920-1295 Blue/Green, Cyan | 1464793230972 | 920-1133 | 1464793229623 | none | ||
| 20015 | Madeira Classic Rayon #12 : Color 920-1241 Gray, Obsidian | 120307918 | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts > Clothing Sewing Materials > Sewing Notions & Fasteners | none | 120306569 | none | |
| 19927 | Madeira Classic Rayon #12 : Color 920-1011 Gray, Chrome | 1349 | Business & Industrial > Manufacturing | none | 0 | none | |
| 20112 | Madeira Classic Rayon #12 : Color 920-1212 Gray, Stainless Steel | 1349 | Business & Industrial > Manufacturing | none | 0 | none |