Fold 2 - Understanding why coefficient 1417 was selected
Tag: RESIDENTIAL AIR PURIFIER
Selected Coefficient: 1417
Taxonomy Path: 6.17
Taxonomy Name:
Products with this tag: 3
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? |
|---|---|---|---|---|---|
| 1417 | 0.012048 | 6.17 | 17.6 (17*83 + 6) | Yes | |
| 29139 | 0.024096 | 6.19.4 | 4.19.6 (4*83^2 + 19*83 + 6) | No |
These are the training products that have the "RESIDENTIAL AIR PURIFIER" tag (processing sequence 3656). 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 |
|---|---|---|---|---|---|---|---|
| 28053 | LA2-RC2-HUV Dual Blower Commercial Air Purifier | 29139 | none | 27722 | none | ||
| 28051 | LA2-RC2-OCOC VOC Extractor | 1417 | none | 0 | none | ||
| 28052 | LA2-RC1-HOC HEPA Air Purifier | 1417 | none | 0 | none |