Fold 1 - Understanding why coefficient 25044 was selected
Tag: FUN
Selected Coefficient: 25044
Taxonomy Path: 1.1.4
Taxonomy Name: Apparel & Accessories > Clothing > Dresses
Products with this tag: 5
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? |
|---|---|---|---|---|---|
| 25044 | 3.000160 | 1.1.4 | 4.1.1 (4*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Dresses | Yes |
| 6983759 | 3.000160 | 1.1.13.14 | 14.13.1.1 (14*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > Sweatshirts | No |
| 251 | 4.000000 | 14.3 | 3.14 (3*79 + 14) | Home & Garden > Decor | No |
| 1890943 | 4.000000 | 78.77.65.3 | 3.65.77.78 (3*79^3 + 65*79^2 + 77*79 + 78) | No | |
| 7888624 | 4.000000 | 0.0.0.16 | 16.0.0.0 (16*79^3) | No |
These are the training products that have the "FUN" tag (processing sequence 3667). 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 |
|---|---|---|---|---|---|---|---|
| 995 | Laila | 7888624 | SWIMSUITS, REINA OLGA | 7863580 | none | ||
| 988 | JH Letter | 6983759 | Apparel & Accessories > Clothing > Clothing Tops > Sweatshirts | none | 6958715 | none | |
| 828 | Augusta Crinkle | 1890943 | SWIMSUIT, EASY, REINA OLGA | 1865899 | none | ||
| 903 | Dottie | 25044 | Apparel & Accessories > Clothing > Dresses | none | 0 | none | |
| 13782 | Traditional Polynesian Tapa design | Cotton Fabric | 251 | Home & Garden > Decor | none | -24793 | none |