Fold 0 - Understanding why coefficient 25044 was selected
Tag: CFS20
Selected Coefficient: 25044
Taxonomy Path: 1.1.4
Taxonomy Name: Apparel & Accessories > Clothing > Dresses
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? |
|---|---|---|---|---|---|
| 25044 | 0.000481 | 1.1.4 | 4.1.1 (4*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Dresses | Yes |
| 574252 | 0.000483 | 1.1.13.1 | 1.13.1.1 (493039 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > Blouses | No |
| 3532486 | 0.000483 | 1.1.13.7 | 7.13.1.1 (7*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > Shirts | No |
| 93695 | 0.000641 | 1.1.15 | 15.1.1 (15*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Skirts | No |
These are the training products that have the "CFS20" tag (processing sequence 3638). 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 |
|---|---|---|---|---|---|---|---|
| 17783 | croptop shirt | 3532486 | Apparel & Accessories > Clothing > Clothing Tops > Shirts | none | 3507442 | none | |
| 18986 | denim croptop | 574252 | Apparel & Accessories > Clothing > Clothing Tops > Blouses | none | 549208 | none | |
| 19009 | denim skirt | 93695 | Apparel & Accessories > Clothing > Skirts | none | 68651 | none | |
| 19025 | dress | 25044 | Apparel & Accessories > Clothing > Dresses | none | 0 | none | |
| 19172 | dress | 25044 | Apparel & Accessories > Clothing > Dresses | none | 0 | none |