Fold 3 - Understanding why coefficient 193155 was selected
Tag: THREE
Selected Coefficient: 193155
Taxonomy Path: 14.3.28
Taxonomy Name: Home & Garden > Decor > Dried Flowers
Products with this tag: 4
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? |
|---|---|---|---|---|---|
| 193155 | 1.012048 | 14.3.28 | 28.3.14 (28*83^2 + 3*83 + 14) | Home & Garden > Decor > Dried Flowers | Yes |
| 15203 | 1.024096 | 14.17.2 | 2.17.14 (2*83^2 + 17*83 + 14) | No | |
| 41999 | 3.000000 | 1.8.6 | 6.8.1 (6*83^2 + 8*83 + 1) | No |
These are the training products that have the "THREE" tag (processing sequence 4932). 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 |
|---|---|---|---|---|---|---|---|
| 7440 | Small Preserved Rose Box | 193155 | Home & Garden > Decor > Dried Flowers | none | 0 | none | |
| 7443 | Small Preserved Rose Box | 193155 | Home & Garden > Decor > Dried Flowers | none | 0 | none | |
| 27038 | K4K Triple-Stone Chain Necklace | 41999 | 3, LINE | -151156 | RHINESTONE | ||
| 7442 | Small Preserved Rose Box | 15203 | none | -177952 | none |