Fold 0 - Understanding why coefficient -1417 was selected
Tag: 920-1058
Selected Coefficient: -1417
Taxonomy Path: -6.17
Taxonomy Name:
Products with this tag: 7
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 | 4.000000 | -6.17 | -17.6 (-(17*83 + 6)) | Yes | |
| 0 | 4.000000 | 0 | 0 (0) | No | |
| 1969806220641 | 6.000000 | 80.67.0.2.6.2.6 | 6.2.6.2.0.67.80 (6*83^6 + 2*83^5 + 6*83^4 + 2*83^3 + 67*83 + 80) | No |
These are the training products that have the "920-1058" tag (processing sequence 2437). 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 | 1969806220641 | 920-1055 | 1969806222058 | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts > Art & Crafting Materials > Crafting Fibers > Thread & Floss > Sewing Thread | GOLD EMBROIDERY THREAD, RED EMBROIDERY THREAD, RED THREAD | |
| 19947 | Madeira Classic Rayon #12 : Color 920-1072 Beige, Coconut Cream | 0 | 920-1055 | 1417 | none | ||
| 19943 | Madeira Classic Rayon #12 : Color 920-1058 Brown, Sienna | 0 | 920-1055 | 1417 | GOLD EMBROIDERY THREAD | ||
| 20101 | Madeira Classic Rayon #12 : Color 920-1142 Brown/Beige, Peach Puff | 0 | 920-1055 | 1417 | GOLD EMBROIDERY THREAD | ||
| 19944 | Madeira Classic Rayon #12 : Color 920-1060 Brown/Gray, Pussy Willow | -1417 | GRAY MELANGE, 920-1055 | 0 | none | ||
| 19946 | Madeira Classic Rayon #12 : Color 920-1071 Beige, Baby's Breath | -1417 | GRAY MELANGE, 920-1055 | 0 | none | ||
| 20102 | Madeira Classic Rayon #12 : Color 920-1144 Brown, Bark | -1417 | GRAY MELANGE, 920-1055 | 0 | none |