Fold 3 - Understanding why coefficient 665567126 was selected
Tag: RED EMBROIDERY THREAD
Selected Coefficient: 665567126
Taxonomy Path: 3.2.1.2.14
Taxonomy Name:
Products with this tag: 4
Unique residual values tried: 4
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? |
|---|---|---|---|---|---|
| 665567126 | 2.000000 | 3.2.1.2.14 | 14.2.1.2.3 (14*83^4 + 2*83^3 + 6889 + 2*83 + 3) | Yes | |
| 1969806222058 | 2.000000 | 3.2.1.2.6.2.6 | 6.2.6.2.1.2.3 (6*83^6 + 2*83^5 + 6*83^4 + 2*83^3 + 6889 + 2*83 + 3) | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts > Art & Crafting Materials > Crafting Fibers > Thread & Floss > Sewing Thread | No |
| 0 | 3.000000 | 0 | 0 (0) | No | |
| 1969806224892 | 3.000000 | 15.36.1.2.6.2.6 | 6.2.6.2.1.36.15 (6*83^6 + 2*83^5 + 6*83^4 + 2*83^3 + 6889 + 36*83 + 15) | No |
These are the training products that have the "RED EMBROIDERY THREAD" tag (processing sequence 4889). 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 |
|---|---|---|---|---|---|---|---|
| 20110 | Madeira Classic Rayon #12 : Color 920-1174 Red/Brown, Cinnamon Stick | 1969806224892 | BEIGE EMBROIDERY THREAD, 920-1058, GOLD THREAD, 920-1174, GOLD EMBROIDERY THREAD | 1969140657766 | none | ||
| 20103 | Madeira Classic Rayon #12 : Color 920-1147 Red, Christmas Red | 1969806222058 | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts > Art & Crafting Materials > Crafting Fibers > Thread & Floss > Sewing Thread | none | 1969140654932 | CHRISTMAS EMBROIDERY THREAD, 920-1037 | |
| 20028 | Madeira Classic Rayon #12 : Color 920-1315 Pink, Pink Grapefruit | 665567126 | none | 0 | 920-1037 | ||
| 20111 | Madeira Classic Rayon #12 : Color 920-1181 Red/Brown, Candy Apple Red | 0 | BROWN EMBROIDERY THREAD | -665567126 | CHRISTMAS EMBROIDERY THREAD, 920-1037 |