Fold 3 - Understanding why coefficient 670 was selected
Tag: BEST AIR PURIFIER
Selected Coefficient: 670
Taxonomy Path: 6.8
Taxonomy Name:
Products with this tag: 4
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? |
|---|---|---|---|---|---|
| 670 | 1.000000 | 6.8 | 8.6 (8*83 + 6) | Yes | |
| 137876 | 3.000000 | 13.1.20 | 20.1.13 (20*83^2 + 83 + 13) | No |
These are the training products that have the "BEST AIR PURIFIER" tag (processing sequence 3052). 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 |
|---|---|---|---|---|---|---|---|
| 28048 | CM2-RC2-M15 Media smoke eater / Air Purifier | 137876 | none | 137206 | AIR FILTRATION SYSTEM | ||
| 28047 | CM2-RC2-S Electrostatic Ceiling Mount Smoke Eater | 670 | none | 0 | none | ||
| 28050 | Air Purifier for Commercial Kitchen - LA2-RC2 -Kitchen | 670 | none | 0 | none | ||
| 28057 | LAFC-RC2-SUV Electrostatic Smoke Eater | 670 | none | 0 | none |