Fold 3 - Understanding why coefficient 50631 was selected
Tag: LAUNDRY
Selected Coefficient: 50631
Taxonomy Path: 8.3.10
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? |
|---|---|---|---|---|---|
| 50631 | 1.000000 | 8.3.10 | 10.3.8 (10*71^2 + 3*71 + 8) | Yes | |
| 3699223 | 1.000000 | 52.58.23.10 | 10.23.58.52 (10*71^3 + 23*71^2 + 58*71 + 52) | No |
These are the training products that have the "LAUNDRY" tag (processing sequence 947). 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 |
|---|---|---|---|---|---|---|---|
| 3104 | Global Soap Stain Remover Soap | 3699223 | SCRUB, BIO-DEGRADABLE, BIODEGRADABLE, CLEANING | 3648592 | none | ||
| 3174 | The Green Collective XOXO Tea Towel | 50631 | CLEANING | 0 | none |