Fold 0 - Understanding why coefficient 14784 was selected
Tag: OFFICE CHAIR 1000
Selected Coefficient: 14784
Taxonomy Path: 10.12.2
Taxonomy Name: Furniture > Office Furniture > Office Chairs
Products with this tag: 6
Unique residual values tried: 2
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? |
|---|---|---|---|---|---|
| 14784 | 0.024096 | 10.12.2 | 2.12.10 (2*83^2 + 12*83 + 10) | Furniture > Office Furniture > Office Chairs | Yes |
| 579267 | 0.048193 | 10.7.1.1 | 1.1.7.10 (571787 + 6889 + 7*83 + 10) | No |
These are the training products that have the "OFFICE CHAIR 1000" tag (processing sequence 3435). 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 |
|---|---|---|---|---|---|---|---|
| 22631 | Office Chair 1000 with Los Angeles Kings Wordmark Logo | 579267 | none | 564483 | none | ||
| 22632 | Office Chair 1000 with Villanova Wildcats Alternate Logo | 579267 | none | 564483 | none | ||
| 22619 | Office Chair 1000 with Brooklyn Nets Primary | 14784 | Furniture > Office Furniture > Office Chairs | none | 0 | none | |
| 22625 | Office Chair 1000 with Golden State Warriors Alternate Logo | 14784 | Furniture > Office Furniture > Office Chairs | none | 0 | none | |
| 22626 | Office Chair 1000 with Los Angeles Kings Secondary Logo | 14784 | Furniture > Office Furniture > Office Chairs | none | 0 | none | |
| 22633 | Office Chair 1000 with Villanova Wildcats Primary Logo | 14784 | Furniture > Office Furniture > Office Chairs | none | 0 | none |