Fold 0 - Understanding why coefficient 78911455 was selected
Tag: BEACH HOUSE
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: 9
Unique residual values tried: 1
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 | 0.000000 | 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 |
These are the training products that have the "BEACH HOUSE" tag (processing sequence 165). 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 |
|---|---|---|---|---|---|---|---|
| 13993 | Infinity Beach Shell | 78911455 | Home & Garden > Decor > Artwork > Posters, Prints, & Visual Artwork > Prints | none | 0 | none | |
| 14001 | Island, word art design | 78911455 | Home & Garden > Decor > Artwork > Posters, Prints, & Visual Artwork > Prints | none | 0 | none | |
| 14018 | She's Cool in the Tropics | 78911455 | Home & Garden > Decor > Artwork > Posters, Prints, & Visual Artwork > Prints | none | 0 | none | |
| 14050 | Ohana, word art design | 78911455 | Home & Garden > Decor > Artwork > Posters, Prints, & Visual Artwork > Prints | none | 0 | none | |
| 14065 | Le Flower and Le Coconut | 78911455 | Home & Garden > Decor > Artwork > Posters, Prints, & Visual Artwork > Prints | none | 0 | none | |
| 14066 | Le Flower | 78911455 | Home & Garden > Decor > Artwork > Posters, Prints, & Visual Artwork > Prints | none | 0 | none | |
| 14067 | Le Coconut | 78911455 | Home & Garden > Decor > Artwork > Posters, Prints, & Visual Artwork > Prints | none | 0 | none | |
| 14068 | Cocoa Nut Palm | 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 |