Fold 3 - Understanding why coefficient 78911455 was selected
Tag: GREEN AND WHITE
Selected Coefficient: 78911455
Taxonomy Path: 14.3.4.2.2
Taxonomy Name: Home & Garden > Decor > Artwork > Posters, Prints, & Visual Artwork > Prints
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? |
|---|---|---|---|---|---|
| 78911455 | 3.000000 | 14.3.4.2.2 | 2.2.4.3.14 (2*79^4 + 2*79^3 + 4*79^2 + 3*79 + 14) | Home & Garden > Decor > Artwork > Posters, Prints, & Visual Artwork > Prints | Yes |
| -6402 | 4.000000 | -3.2.1 | -1.2.3 (-(6241 + 2*79 + 3)) | No | |
| 6402 | 4.000000 | 3.2.1 | 1.2.3 (6241 + 2*79 + 3) | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts | No |
| 78898651 | 4.000000 | 8.78.1.2.2 | 2.2.1.78.8 (2*79^4 + 2*79^3 + 6241 + 78*79 + 8) | No |
These are the training products that have the "GREEN AND WHITE" tag (processing sequence 1603). 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 |
|---|---|---|---|---|---|---|---|
| 14018 | She's Cool in the Tropics | 78911455 | Home & Garden > Decor > Artwork > Posters, Prints, & Visual Artwork > Prints | none | 0 | none | |
| 14077 | West Coast Palm | 78911455 | Home & Garden > Decor > Artwork > Posters, Prints, & Visual Artwork > Prints | none | 0 | none | |
| 14088 | Backyard Banana | 78898651 | AUSTRALIAN ART, AUSTRALIAN MADE | -12804 | none | ||
| 13994 | Walk in the Jungle | 6402 | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts | COCONUT PALM | -78905053 | none | |
| 14078 | Deconstructed Banana | -6402 | AUSTRALIAN ART, AUSTRALIAN MADE | -78917857 | none |