Fold 2 - Understanding why coefficient 41999 was selected
Tag: CLEAN
Selected Coefficient: 41999
Taxonomy Path: 1.8.6
Taxonomy Name:
Products with this tag: 4
Unique residual values tried: 4
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? |
|---|---|---|---|---|---|
| 41999 | 2.012048 | 1.8.6 | 6.8.1 (6*83^2 + 8*83 + 1) | Yes | |
| 3499696 | 2.012048 | 1.1.10.6 | 6.10.1.1 (6*83^3 + 10*83^2 + 83 + 1) | No | |
| -69983 | 3.000000 | -14.13.10 | -10.13.14 (-(10*83^2 + 13*83 + 14)) | No | |
| 1349414 | 3.000000 | 0.73.29.2 | 2.29.73.0 (2*83^3 + 29*83^2 + 73*83) | No |
These are the training products that have the "CLEAN" tag (processing sequence 4707). 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 |
|---|---|---|---|---|---|---|---|
| 28122 | Carla Crop Vest | 3499696 | none | 3457697 | none | ||
| 7192 | GEORGIA PEACH | 1349414 | CANDLES | 1307415 | none | ||
| 28300 | Rhyme Time Smooth Flats | 41999 | none | 0 | none | ||
| 7152 | BLUE SKIES | -69983 | SUGAR, CANDLES | -111982 | none |