Fold 1 - Understanding why coefficient -57563111 was selected
Tag: RING
Selected Coefficient: -57563111
Taxonomy Path: -3.70.58.18.2
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? |
|---|---|---|---|---|---|
| -57563111 | 1.000000 | -3.70.58.18.2 | -2.18.58.70.3 (-(2*71^4 + 18*71^3 + 58*71^2 + 70*71 + 3)) | 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 2530). 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 | none | 57608907 | none | |
| 9143 | University of Tennessee | UT | Tungsten Ring Band | Black and Silver | 8MM | -57563111 | BLACK, SILVER, 8MM, WOMEN, MENS | 0 | none |