Fold 4 - Understanding why coefficient 29139 was selected
Tag: COMMERCIAL AIR PURIFIER
Selected Coefficient: 29139
Taxonomy Path: 6.19.4
Taxonomy Name:
Products with this tag: 3
Unique residual values tried: 3
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? |
|---|---|---|---|---|---|
| 29139 | 1.012048 | 6.19.4 | 4.19.6 (4*83^2 + 19*83 + 6) | Yes | |
| 29471 | 1.012048 | 6.23.4 | 4.23.6 (4*83^2 + 23*83 + 6) | No | |
| 0 | 2.000000 | 0 | 0 (0) | No |
These are the training products that have the "COMMERCIAL AIR PURIFIER" tag (processing sequence 3532). 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 |
|---|---|---|---|---|---|---|---|
| 28054 | LA2-RC2-HOC Heavy-Duty Commercial HEPA Air Purifier | 29471 | none | 332 | AIR PURIFIER FOR VOC | ||
| 28055 | LA2-RC1-HUV Commercial Air Purifier with HEPA Filter and UVGI Technology | 29139 | none | 0 | none | ||
| 28053 | LA2-RC2-HUV Dual Blower Commercial Air Purifier | 0 | AIR FILTRATION SYSTEM | -29139 | AIR PURIFIER FOR VOC |