Fold 2 - Understanding why coefficient -6951085 was selected
Tag: CHARLES RIVER
Selected Coefficient: -6951085
Taxonomy Path: -1.1.13.12
Taxonomy Name:
Products with this tag: 7
Unique residual values tried: 6
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? |
|---|---|---|---|---|---|
| -6951085 | 3.000147 | -1.1.13.12 | -12.13.1.1 (-(12*83^3 + 13*83^2 + 83 + 1)) | Yes | |
| -8094659 | 3.000149 | -1.1.13.14 | -14.13.1.1 (-(14*83^3 + 13*83^2 + 83 + 1)) | No | |
| -13833196 | 3.000435 | -1.1.16.24 | -24.16.1.1 (-(24*83^3 + 16*83^2 + 83 + 1)) | No | |
| -15045744 | 6.000000 | -2.2.26.26 | -26.26.2.2 (-(26*83^3 + 26*83^2 + 2*83 + 2)) | No | |
| 0 | 6.000000 | 0 | 0 (0) | No | |
| 2383678 | 6.000000 | 1.1.14.4 | 4.14.1.1 (4*83^3 + 14*83^2 + 83 + 1) | No |
These are the training products that have the "CHARLES RIVER" tag (processing sequence 5367). 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 |
|---|---|---|---|---|---|---|---|
| 31793 | Monogrammed Waffle Knit Lounge Shorts | 2383678 | none | 9334763 | SHORTS | ||
| 31792 | Monogrammed Waffle Knit Joggers | 0 | JOGGERS | 6951085 | none | ||
| 31761 | Monogrammed Women's V-neck Sweatshirt | -6951085 | SWEATSHIRT, PULLOVER | 0 | V-NECK | ||
| 31760 | Monogrammed Corded Crewneck Sweatshirt | -6951085 | SWEATSHIRT, PULLOVER | 0 | none | ||
| 31794 | Monogrammed Waffle Knit Quarter Zip Pullover | -8094659 | QUARTER ZIP, PULLOVER | -1143574 | none | ||
| 31763 | Monogrammed Snap Shacket | -13833196 | SWEATSHIRT, PULLOVER | -6882111 | none | ||
| 31762 | Monogrammed Women's Quarter Zip Pullover Sweatshirt | -15045744 | QUARTER ZIP, SWEATSHIRT, PULLOVER | -8094659 | none |