Fold 3 - Understanding why coefficient 75687 was selected
Tag: ABBIGLIAMENTO SOSTENIBILE
Selected Coefficient: 75687
Taxonomy Path: 1.1.15
Taxonomy Name: Apparel & Accessories > Clothing > Skirts
Products with this tag: 6
Unique residual values tried: 5
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? |
|---|---|---|---|---|---|
| 75687 | 0.028566 | 1.1.15 | 15.1.1 (15*71^2 + 71 + 1) | Apparel & Accessories > Clothing > Skirts | Yes |
| 3997585 | 0.028764 | 1.1.12.11 | 11.12.1.1 (11*71^3 + 12*71^2 + 71 + 1) | Apparel & Accessories > Clothing > Pants > Trousers | No |
| 127824709 | 0.028764 | 1.1.10.2.5 | 5.2.10.1.1 (5*71^4 + 2*71^3 + 10*71^2 + 71 + 1) | Apparel & Accessories > Clothing > Outerwear > Coats & Jackets > Overcoats | No |
| 131209 | 0.056536 | 1.2.26 | 26.2.1 (26*71^2 + 2*71 + 1) | Apparel & Accessories > Clothing Accessories > Scarves & Shawls | No |
| 801662 | 0.056536 | 1.2.17.2 | 2.17.2.1 (2*71^3 + 17*71^2 + 2*71 + 1) | Apparel & Accessories > Clothing Accessories > Hats > Beanies | No |
These are the training products that have the "ABBIGLIAMENTO SOSTENIBILE" tag (processing sequence 351). 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 |
|---|---|---|---|---|---|---|---|
| 6825 | Cappotto Mr. Darcy | 127824709 | Apparel & Accessories > Clothing > Outerwear > Coats & Jackets > Overcoats | none | 127749022 | none | |
| 6816 | Pantaloni Fritz | 3997585 | Apparel & Accessories > Clothing > Pants > Trousers | none | 3921898 | ABRICOT ATELIER | |
| 6800 | Berretto Unisex | 801662 | Apparel & Accessories > Clothing Accessories > Hats > Beanies | none | 725975 | MAGLIERIA | |
| 6819 | Stola Scozzese | 131209 | Apparel & Accessories > Clothing Accessories > Scarves & Shawls | none | 55522 | none | |
| 6727 | Gonna Charlotte | 75687 | Apparel & Accessories > Clothing > Skirts | none | 0 | none | |
| 6729 | Gonna scozzese Mary | 75687 | Apparel & Accessories > Clothing > Skirts | none | 0 | none |