Fold 3 - Understanding why coefficient 1417 was selected
Tag: BROWN GREY EMBROIDERY THREAD
Selected Coefficient: 1417
Taxonomy Path: 6.17
Taxonomy Name:
Products with this tag: 6
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? |
|---|---|---|---|---|---|
| 1417 | 3.000000 | 6.17 | 17.6 (17*83 + 6) | Yes | |
| -1417 | 4.000000 | -6.17 | -17.6 (-(17*83 + 6)) | No | |
| 146384530 | 5.000000 | 3.2.1.7.3 | 3.7.1.2.3 (3*83^4 + 7*83^3 + 6889 + 2*83 + 3) | No |
These are the training products that have the "BROWN GREY EMBROIDERY THREAD" tag (processing sequence 2583). 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 |
|---|---|---|---|---|---|---|---|
| 20015 | Madeira Classic Rayon #12 : Color 920-1241 Gray, Obsidian | 146384530 | none | 146383113 | none | ||
| 19927 | Madeira Classic Rayon #12 : Color 920-1011 Gray, Chrome | 1417 | none | 0 | none | ||
| 19933 | Madeira Classic Rayon #12 : Color 920-1041 Gray, Polished Pewter | 1417 | none | 0 | none | ||
| 20112 | Madeira Classic Rayon #12 : Color 920-1212 Gray, Stainless Steel | 1417 | none | 0 | none | ||
| 19944 | Madeira Classic Rayon #12 : Color 920-1060 Brown/Gray, Pussy Willow | -1417 | GRAY EMBROIDERY THREAD, BEIGE EMBROIDERY THREAD, 920-1058, ANTIQUE EMBROIDERY THREAD | -2834 | 920-1174 | ||
| 19946 | Madeira Classic Rayon #12 : Color 920-1071 Beige, Baby's Breath | -1417 | GRAY EMBROIDERY THREAD, BEIGE EMBROIDERY THREAD, 920-1058, ANTIQUE EMBROIDERY THREAD | -2834 | 920-1174 |