Fold 3 - Understanding why coefficient 18 was selected
Tag: UNDER-10
Selected Coefficient: 18
Taxonomy Path: 18
Taxonomy Name: Office Supplies
Products with this tag: 4
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? |
|---|---|---|---|---|---|
| 18 | 2.012658 | 18 | 18 (18) | Office Supplies | Yes |
| 12816 | 2.012658 | 18.4.2 | 2.4.18 (2*79^2 + 4*79 + 18) | Office Supplies > General Office Supplies > Correction Fluids, Pens & Tapes | No |
| 804 | 3.000000 | 14.10 | 10.14 (10*79 + 14) | Home & Garden > Household Supplies | No |
| 3008581 | 3.000000 | 24.5.8.6 | 6.8.5.24 (6*79^3 + 8*79^2 + 5*79 + 24) | Toys & Games > Toys > Dolls, Playsets & Toy Figures > Dolls | No |
These are the training products that have the "UNDER-10" tag (processing sequence 2977). 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 |
|---|---|---|---|---|---|---|---|
| 7749 | Timber Tots Nutnut Family set of 4 | 3008581 | Toys & Games > Toys > Dolls, Playsets & Toy Figures > Dolls | none | 3008563 | none | |
| 7959 | OOLY Tutti Fruitti Scented Pens | 12816 | Office Supplies > General Office Supplies > Correction Fluids, Pens & Tapes | none | 12798 | none | |
| 7988 | The Gift Wrap Company Dinomia Medium Square Bag | 804 | Home & Garden > Household Supplies | none | 786 | none | |
| 8199 | Bulldogs At The Beach Birthday Card | 18 | Office Supplies | none | 0 | none |