Fold 1 - Understanding why coefficient 82766 was selected
Tag: BACKPACK
Selected Coefficient: 82766
Taxonomy Path: 15.1.12
Taxonomy Name:
Products with this tag: 8
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? |
|---|---|---|---|---|---|
| 82766 | 2.000435 | 15.1.12 | 12.1.15 (12*83^2 + 83 + 15) | Yes | |
| 110322 | 2.000435 | 15.1.16 | 16.1.15 (16*83^2 + 83 + 15) | No | |
| -1190 | 7.000000 | -28.14 | -14.28 (-(14*83 + 28)) | No | |
| 89391 | 7.000000 | 0.81.12 | 12.81.0 (12*83^2 + 81*83) | No |
These are the training products that have the "BACKPACK" tag (processing sequence 4489). 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 |
|---|---|---|---|---|---|---|---|
| 11029 | Octopus Dance | 110322 | none | 27556 | none | ||
| 11030 | Wisdom and Determination | 110322 | none | 27556 | none | ||
| 11027 | White Raven Nest | 110322 | none | 27556 | none | ||
| 10490 | Men Backpack Casual Fashion Laptop Anti-theft Notebook School Bag with USB Port | 89391 | BAG | 6625 | SCHOOL | ||
| 30630 | ADIDAS | CLASSIC BACKPACK | LEGEND INK MULTICOLOUR | 82766 | none | 0 | none | ||
| 11026 | Growth & Change | 82766 | none | 0 | none | ||
| 10248 | Canvas leather mini backpack - Brown | 82766 | none | 0 | none | ||
| 12341 | Custom Order | -1190 | TOTE, BAG | -83956 | BOWL |