Fold 0 - Understanding why coefficient 110322 was selected
Tag: BACKPACK
Selected Coefficient: 110322
Taxonomy Path: 15.1.16
Taxonomy Name:
Products with this tag: 7
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? |
|---|---|---|---|---|---|
| 110322 | 1.000290 | 15.1.16 | 16.1.15 (16*83^2 + 83 + 15) | Yes | |
| 82766 | 1.000581 | 15.1.12 | 12.1.15 (12*83^2 + 83 + 15) | No | |
| 20835 | 6.000000 | 2.2.3 | 3.2.2 (3*83^2 + 2*83 + 2) | No |
These are the training products that have the "BACKPACK" tag (processing sequence 4126). 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 |
|---|---|---|---|---|---|---|---|
| 11027 | White Raven Nest | 110322 | none | 0 | none | ||
| 10490 | Men Backpack Casual Fashion Laptop Anti-theft Notebook School Bag with USB Port | 110322 | none | 0 | none | ||
| 11028 | Positive Light | 110322 | none | 0 | none | ||
| 11030 | Wisdom and Determination | 110322 | none | 0 | none | ||
| 11026 | Growth & Change | 82766 | none | -27556 | none | ||
| 10248 | Canvas leather mini backpack - Brown | 82766 | none | -27556 | none | ||
| 12341 | Custom Order | 20835 | none | -89487 | BOWL |