Fold 3 - Understanding why coefficient 13440 was selected
Tag: OFFICE CHAIR 1000
Selected Coefficient: 13440
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? |
|---|---|---|---|---|---|
| 13440 | 0.025316 | 10.12.2 | 2.12.10 (2*79^2 + 12*79 + 10) | Furniture > Office Furniture > Office Chairs | Yes |
| 499843 | 0.050633 | 10.7.1.1 | 1.1.7.10 (493039 + 6241 + 7*79 + 10) | Furniture > Chairs > Armchairs, Recliners & Sleeper Chairs > Armchairs | No |
These are the training products that have the "OFFICE CHAIR 1000" tag (processing sequence 2453). 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 | 499843 | Furniture > Chairs > Armchairs, Recliners & Sleeper Chairs > Armchairs | none | 486403 | none | |
| 22632 | Office Chair 1000 with Villanova Wildcats Alternate Logo | 499843 | Furniture > Chairs > Armchairs, Recliners & Sleeper Chairs > Armchairs | none | 486403 | none | |
| 22619 | Office Chair 1000 with Brooklyn Nets Primary | 13440 | Furniture > Office Furniture > Office Chairs | none | 0 | none | |
| 22625 | Office Chair 1000 with Golden State Warriors Alternate Logo | 13440 | Furniture > Office Furniture > Office Chairs | none | 0 | none | |
| 22626 | Office Chair 1000 with Los Angeles Kings Secondary Logo | 13440 | Furniture > Office Furniture > Office Chairs | none | 0 | none | |
| 22633 | Office Chair 1000 with Villanova Wildcats Primary Logo | 13440 | Furniture > Office Furniture > Office Chairs | none | 0 | none |