Fold 3 - Understanding why coefficient 244 was selected
Tag: BLACKFRI2022
Selected Coefficient: 244
Taxonomy Path: 7.3
Taxonomy Name: Cameras & Optics > Optics
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? |
|---|---|---|---|---|---|
| 244 | 4.000000 | 7.3 | 3.7 (3*79 + 7) | Cameras & Optics > Optics | Yes |
| -2933270 | 4.012658 | -0.0.75.5 | -5.75.0.0 (-(5*79^3 + 75*79^2)) | No | |
| 2440152 | 4.012658 | 0.78.74.4 | 4.74.78.0 (4*79^3 + 74*79^2 + 78*79) | No | |
| 3532486 | 5.000000 | 1.1.13.7 | 7.13.1.1 (7*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > Shirts | No |
| 6571933 | 5.000000 | 2.2.26.13 | 13.26.2.2 (13*79^3 + 26*79^2 + 2*79 + 2) | No |
These are the training products that have the "BLACKFRI2022" tag (processing sequence 3963). 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 |
|---|---|---|---|---|---|---|---|
| 18108 | Savannah Button Down Shirt Ivory | 6571933 | SPRINGVIBE | 6571689 | none | ||
| 18112 | Light Blue Plaid Long Sleeve | 3532486 | Apparel & Accessories > Clothing > Clothing Tops > Shirts | none | 3532242 | none | |
| 18128 | Le Garcon Mid Rise Boyfriend in Galeston | 2440152 | 28, HOLIDAY SHOP, SPRINGVIBE | 2439908 | none | ||
| 18107 | Lizzy Sage Crystal Gradiant | 244 | Cameras & Optics > Optics | none | 0 | none | |
| 18109 | Tahoe Aviator Pink Blue Gradient Polarized | 244 | Cameras & Optics > Optics | none | 0 | none | |
| 18110 | Pajama Party Robe Gold Combo | -2933270 | KIMONOS | -2933514 | none |