Fold 0 - Understanding why coefficient 1417 was selected
Tag: GOLD EMBROIDERY THREAD
Selected Coefficient: 1417
Taxonomy Path: 6.17
Taxonomy Name:
Products with this tag: 5
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? |
|---|---|---|---|---|---|
| 1417 | 3.000000 | 6.17 | 17.6 (17*83 + 6) | Yes | |
| 146384530 | 3.000002 | 3.2.1.7.3 | 3.7.1.2.3 (3*83^4 + 7*83^3 + 6889 + 2*83 + 3) | No | |
| 1969806222058 | 3.000002 | 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 | 4.000000 | 0 | 0 (0) | No |
These are the training products that have the "GOLD EMBROIDERY THREAD" tag (processing sequence 3938). 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 | 1969806222058 | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts > Art & Crafting Materials > Crafting Fibers > Thread & Floss > Sewing Thread | 920-1055, 920-1058 | 1969806220641 | RED EMBROIDERY THREAD, RED THREAD | |
| 19945 | Madeira Classic Rayon #12 : Color 920-1070 Gold/Beige, Tawny Tan | 146384530 | none | 146383113 | none | ||
| 19943 | Madeira Classic Rayon #12 : Color 920-1058 Brown, Sienna | 1417 | 920-1055, 920-1058 | 0 | none | ||
| 20101 | Madeira Classic Rayon #12 : Color 920-1142 Brown/Beige, Peach Puff | 1417 | 920-1055, 920-1058 | 0 | none | ||
| 19941 | Madeira Classic Rayon #12 : Color 920-1055 Beige, Latte | 0 | 920-1055 | -1417 | none |