Fold 0 - Understanding why coefficient -4031676 was selected
Tag: FUN
Selected Coefficient: -4031676
Taxonomy Path: -69.78.13.8
Taxonomy Name:
Products with this tag: 4
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? |
|---|---|---|---|---|---|
| -4031676 | 3.000000 | -69.78.13.8 | -8.13.78.69 (-(8*79^3 + 13*79^2 + 78*79 + 69)) | Yes | |
| 6983759 | 3.000000 | 1.1.13.14 | 14.13.1.1 (14*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > Sweatshirts | No |
| 16888146 | 3.000000 | 0.0.20.34 | 34.20.0.0 (34*79^3 + 20*79^2) | No | |
| 22361663 | 3.000000 | 2.2.28.45 | 45.28.2.2 (45*79^3 + 28*79^2 + 2*79 + 2) | No |
These are the training products that have the "FUN" tag (processing sequence 1469). 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 |
|---|---|---|---|---|---|---|---|
| 828 | Augusta Crinkle | 22361663 | EASY, FLATTERING | 26393339 | ONE SIZE, SWIMSUIT | ||
| 995 | Laila | 16888146 | COMFY, FLATTERING | 20919822 | ITALIAN, ONE SIZE | ||
| 988 | JH Letter | 6983759 | Apparel & Accessories > Clothing > Clothing Tops > Sweatshirts | none | 11015435 | none | |
| 13782 | Traditional Polynesian Tapa design | Cotton Fabric | -4031676 | PRINT, COTTON | 0 | none |