Fold 1 - Understanding why coefficient -7008768 was selected
Tag: MERCHANDISE
Selected Coefficient: -7008768
Taxonomy Path: -46.1.17.14
Taxonomy Name:
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? |
|---|---|---|---|---|---|
| -7008768 | 3.000000 | -46.1.17.14 | -14.17.1.46 (-(14*79^3 + 17*79^2 + 79 + 46)) | Yes | |
| 0 | 3.000000 | 0 | 0 (0) | No | |
| 486 | 3.000000 | 12.6 | 6.12 (6*79 + 12) | Hardware > Hardware Accessories | No |
| 39942561 | 3.000000 | 3.2.1.2.1 | 1.2.1.2.3 (38950081 + 2*79^3 + 6241 + 2*79 + 3) | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts > Art & Crafting Materials > Art & Craft Paper | No |
These are the training products that have the "MERCHANDISE" tag (processing sequence 4338). 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 |
|---|---|---|---|---|---|---|---|
| 19970 | Trillium Fractal Sticker | 39942561 | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts > Art & Crafting Materials > Art & Craft Paper | none | 46951329 | none | |
| 19835 | Extra Empty Bottle | 486 | Hardware > Hardware Accessories | none | 7009254 | none | |
| 19841 | E Gift Card | 0 | GIFT CARD | 7008768 | none | ||
| 19834 | Extra Dropper | -7008768 | CAP | 0 | none |