Fold 4 - Understanding why coefficient 55777 was selected
Tag: BASEBALL
Selected Coefficient: 55777
Taxonomy Path: 1.8.8
Taxonomy Name:
Products with this tag: 11
Unique residual values tried: 8
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? |
|---|---|---|---|---|---|
| 55777 | 7.024096 | 1.8.8 | 8.8.1 (8*83^2 + 8*83 + 1) | Yes | |
| 4092150 | 7.036145 | 1.1.13.7 | 7.13.1.1 (7*83^3 + 13*83^2 + 83 + 1) | No | |
| 167 | 7.036145 | 1.2 | 2.1 (2*83 + 1) | No | |
| 0 | 8.000000 | 0 | 0 (0) | No | |
| 7058 | 9.000002 | 3.2.1 | 1.2.3 (6889 + 2*83 + 3) | No | |
| 8071352350 | 9.000002 | 3.2.1.6.4.2 | 2.4.6.1.2.3 (2*83^5 + 4*83^4 + 6*83^3 + 6889 + 2*83 + 3) | No | |
| -2466430 | 10.000000 | -2.2.26.4 | -4.26.2.2 (-(4*83^3 + 26*83^2 + 2*83 + 2)) | No | |
| -4663937 | 10.000000 | -1.1.13.8 | -8.13.1.1 (-(8*83^3 + 13*83^2 + 83 + 1)) | No |
These are the training products that have the "BASEBALL" tag (processing sequence 6571). 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 |
|---|---|---|---|---|---|---|---|
| 12636 | Four Baseball Birthday Applique SP022 | 8071352350 | none | 8071296573 | none | ||
| 884 | Ankh Life Baseball Jersey Custom “Mets” | 4092150 | none | 4036373 | none | ||
| 9711 | Fast Sneaker Silver Sequins | 55777 | none | 0 | none | ||
| 9723 | Fast Sneaker Silver | 55777 | none | 0 | none | ||
| 32760 | All Star Game at Progressive Field Mixed Media Collage | 7058 | none | -48719 | none | ||
| 3488 | RAISING BALLERS DTF TRANSFER | 167 | none | -55610 | none | ||
| 11854 | Drew Bomber Jacket | 0 | SIZE-2X-LARGE, LONG-SLEEVE, SIZE-3X-LARGE | -55777 | DAVID-EDWARDS, SIZE-X-LARGE | ||
| 11835 | Drew Wool Blend Bomber Jacket | 0 | SIZE-2X-LARGE, LONG-SLEEVE, SIZE-3X-LARGE | -55777 | DAVID-EDWARDS, SIZE-X-LARGE | ||
| 31918 | Ballpark | Heather Grey | Short Sleeve Tee | 0 | SHOP ALL | -55777 | none | ||
| 32839 | Peace+Love=Baseball Tshirt | -2466430 | T SHIRTS, LADIES TOP, LADIES APPAREL | -2522207 | none | ||
| 31915 | Ball Game | Vintage White | Short Sleeve | -4663937 | SHORT-SLEEVE, SHOP ALL | -4719714 | none |