Fold 1 - Understanding why coefficient 197278893 was selected
Tag: POLISH FOLKART
Selected Coefficient: 197278893
Taxonomy Path: 14.11.10.5.5
Taxonomy Name: Home & Garden > Kitchen & Dining > Tableware > Drinkware > Mugs
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? |
|---|---|---|---|---|---|
| 197278893 | 0.012658 | 14.11.10.5.5 | 5.5.10.11.14 (5*79^4 + 5*79^3 + 10*79^2 + 11*79 + 14) | Home & Garden > Kitchen & Dining > Tableware > Drinkware > Mugs | Yes |
| 3813502 | 0.025316 | 14.3.58.7 | 7.58.3.14 (7*79^3 + 58*79^2 + 3*79 + 14) | Home & Garden > Decor > Seasonal & Holiday Decorations > Holiday Ornaments | No |
These are the training products that have the "POLISH FOLKART" tag (processing sequence 2333). 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 |
|---|---|---|---|---|---|---|---|
| 11610 | Lowicz Folk Art Mug | 197278893 | Home & Garden > Kitchen & Dining > Tableware > Drinkware > Mugs | none | 0 | none | |
| 11611 | Kaszuby Folk Art Mug | 197278893 | Home & Garden > Kitchen & Dining > Tableware > Drinkware > Mugs | none | 0 | none | |
| 10232 | Polish Wood Christmas Ornament Set | 3813502 | Home & Garden > Decor > Seasonal & Holiday Decorations > Holiday Ornaments | none | -193465391 | none |