Fold 4 - Understanding why coefficient 4518564 was selected
Tag: HEARTS
Selected Coefficient: 4518564
Taxonomy Path: 1.1.13.9
Taxonomy Name: Apparel & Accessories > Clothing > Clothing Tops > Tank Tops
Products with this tag: 4
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? |
|---|---|---|---|---|---|
| 4518564 | 2.000000 | 1.1.13.9 | 9.13.1.1 (9*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > Tank Tops | Yes |
| -4025525 | 3.000000 | -1.1.13.8 | -8.13.1.1 (-(8*79^3 + 13*79^2 + 79 + 1)) | No | |
| 0 | 3.000000 | 0 | 0 (0) | No |
These are the training products that have the "HEARTS" tag (processing sequence 3226). 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 |
|---|---|---|---|---|---|---|---|
| 5228 | Airbrush Hearts Crop Top Design | 4518564 | Apparel & Accessories > Clothing > Clothing Tops > Tank Tops | none | 0 | none | |
| 5329 | Airbrush 2000s Baby Crop Top | 4518564 | Apparel & Accessories > Clothing > Clothing Tops > Tank Tops | none | 0 | none | |
| 14410 | Patchwork Heart in Denim/Khaki | 0 | PULLOVER | -4518564 | none | ||
| 9488 | Airbrush Beyonce Renaissance Tour Shirt | -4025525 | LETTERS, CONCERT, T-SHIRT, COOL | -8544089 | none |