Fold 0 - Understanding why coefficient -5886909 was selected
Tag: RING
Selected Coefficient: -5886909
Taxonomy Path: -15.57.31.16
Taxonomy Name:
Products with this tag: 2
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? |
|---|---|---|---|---|---|
| -5886909 | 1.000000 | -15.57.31.16 | -16.31.57.15 (-(16*71^3 + 31*71^2 + 57*71 + 15)) | Yes | |
| 45796 | 1.000000 | 1.6.9 | 9.6.1 (9*71^2 + 6*71 + 1) | Apparel & Accessories > Jewelry > Rings | No |
These are the training products that have the "RING" tag (processing sequence 2524). 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 |
|---|---|---|---|---|---|---|---|
| 9731 | Braided Ring | 45796 | Apparel & Accessories > Jewelry > Rings | 14K YELLOW GOLD FILLED, VIEW ALL | 5932705 | none | |
| 9143 | University of Tennessee | UT | Tungsten Ring Band | Black and Silver | 8MM | -5886909 | BLACK, SILVER, 8MM, WOMEN | 0 | none |