Fold 0 - Understanding why coefficient 174999 was selected
Tag: PRESERVED ROSES
Selected Coefficient: 174999
Taxonomy Path: 14.3.28
Taxonomy Name: Home & Garden > Decor > Dried Flowers
Products with this tag: 7
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? |
|---|---|---|---|---|---|
| 174999 | 0.025477 | 14.3.28 | 28.3.14 (28*79^2 + 3*79 + 14) | Home & Garden > Decor > Dried Flowers | Yes |
| 505772 | 0.025957 | 14.3.2.1 | 1.2.3.14 (493039 + 2*79^2 + 3*79 + 14) | Home & Garden > Decor > Artificial Flora > Artificial Flowering Plants | No |
| 13839 | 0.063291 | 14.17.2 | 2.17.14 (2*79^2 + 17*79 + 14) | Home & Garden > Plants > Flowers | No |
These are the training products that have the "PRESERVED ROSES" tag (processing sequence 2351). 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 |
|---|---|---|---|---|---|---|---|
| 7439 | Medium Preserved Rose Box | 505772 | Home & Garden > Decor > Artificial Flora > Artificial Flowering Plants | none | 330773 | none | |
| 7441 | Small Preserved Rose Box | 174999 | Home & Garden > Decor > Dried Flowers | none | 0 | none | |
| 7443 | Small Preserved Rose Box | 174999 | Home & Garden > Decor > Dried Flowers | none | 0 | none | |
| 7445 | Small Preserved Rose Box | 174999 | Home & Garden > Decor > Dried Flowers | none | 0 | none | |
| 7487 | Small Preserved Rose Box | 174999 | Home & Garden > Decor > Dried Flowers | none | 0 | none | |
| 7442 | Small Preserved Rose Box | 13839 | Home & Garden > Plants > Flowers | none | -161160 | none | |
| 7444 | Small Round Box | 13839 | Home & Garden > Plants > Flowers | none | -161160 | none |