Fold 3 - Understanding why coefficient 146384530 was selected
Tag: CHRISTMAS EMBROIDERY THREAD
Selected Coefficient: 146384530
Taxonomy Path: 3.2.1.7.3
Taxonomy Name:
Products with this tag: 5
Unique residual values tried: 5
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? |
|---|---|---|---|---|---|
| 146384530 | 3.000002 | 3.2.1.7.3 | 3.7.1.2.3 (3*83^4 + 7*83^3 + 6889 + 2*83 + 3) | Yes | |
| 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 |
| -665567126 | 4.000000 | -3.2.1.2.14 | -14.2.1.2.3 (-(14*83^4 + 2*83^3 + 6889 + 2*83 + 3)) | No | |
| 6 | 4.000000 | 6 | 6 (6) | No | |
| 1969140654932 | 4.000000 | 0.0.0.0.75.1.6 | 6.1.75.0.0.0.0 (6*83^6 + 3939040643 + 75*83^4) | No |
These are the training products that have the "CHRISTMAS EMBROIDERY THREAD" tag (processing sequence 5614). 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 |
|---|---|---|---|---|---|---|---|
| 19939 | Madeira Classic Rayon #12 : Color 920-1047 Green, Celadon | 1969806222058 | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts > Art & Crafting Materials > Crafting Fibers > Thread & Floss > Sewing Thread | none | 1969659837528 | none | |
| 20103 | Madeira Classic Rayon #12 : Color 920-1147 Red, Christmas Red | 1969140654932 | RED EMBROIDERY THREAD | 1968994270402 | 920-1037 | ||
| 20017 | Madeira Classic Rayon #12 : Color 920-1250 Green, Christmas Green | 146384530 | none | 0 | none | ||
| 19940 | Madeira Classic Rayon #12 : Color 920-1051 Green, Bell Pepper | 6 | none | -146384524 | none | ||
| 20111 | Madeira Classic Rayon #12 : Color 920-1181 Red/Brown, Candy Apple Red | -665567126 | BROWN EMBROIDERY THREAD, RED EMBROIDERY THREAD | -811951656 | 920-1037 |