Fold 3 - Understanding why coefficient 192699200 was selected
Tag: PIEDMONT
Selected Coefficient: 192699200
Taxonomy Path: 9.1.1.5.4
Taxonomy Name:
Products with this tag: 5
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? |
|---|---|---|---|---|---|
| 192699200 | 2.000002 | 9.1.1.5.4 | 4.5.1.1.9 (4*83^4 + 5*83^3 + 6889 + 83 + 9) | Yes | |
| 4009490 | 2.000003 | 9.1.1.7 | 7.1.1.9 (7*83^3 + 6889 + 83 + 9) | No | |
| -4009490 | 4.000000 | -9.1.1.7 | -7.1.1.9 (-(7*83^3 + 6889 + 83 + 9)) | No | |
| 0 | 4.000000 | 0 | 0 (0) | No |
These are the training products that have the "PIEDMONT" tag (processing sequence 4067). 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 |
|---|---|---|---|---|---|---|---|
| 14970 | Vermouth di Torino Extra Dry 375ml | 192699200 | none | 0 | none | ||
| 14977 | Vermouth di Torino Rosso 375ml | 192699200 | none | 0 | none | ||
| 14896 | Gavi 2023 | 4009490 | none | -188689710 | none | ||
| 15078 | Barolo Runcot Riserva 2016 | 0 | ORGANIC-WINES | -192699200 | none | ||
| 14879 | Castle' Barbera d'Alba 2022 | -4009490 | ORGANIC-WINES, ORDERING CRITICAL WINE | -196708690 | none |