Fold 0 - Understanding why coefficient 526058080 was selected
Tag: NAIL POLISH
Selected Coefficient: 526058080
Taxonomy Path: 13.3.2.7.11
Taxonomy Name:
Products with this tag: 3
Unique residual values tried: 1
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? |
|---|---|---|---|---|---|
| 526058080 | 0.000000 | 13.3.2.7.11 | 11.7.2.3.13 (11*83^4 + 7*83^3 + 2*83^2 + 3*83 + 13) | Yes |
These are the training products that have the "NAIL POLISH" tag (processing sequence 1716). 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 |
|---|---|---|---|---|---|---|---|
| 25672 | Barely There Nail Polish | 526058080 | none | 0 | none | ||
| 25690 | Sunsets on the Lake Nail Polish Multi Pink-Bronze Eco Beauty | 526058080 | none | 0 | none | ||
| 25840 | Dearborn Vegan Color-Changing Nail Polish | 526058080 | none | 0 | none |