Fold 4 - Understanding why coefficient 130745 was selected
Tag: 8MM
Selected Coefficient: 130745
Taxonomy Path: 0.75.20
Taxonomy Name:
Products with this tag: 8
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? |
|---|---|---|---|---|---|
| 130745 | 3.000000 | 0.75.20 | 20.75.0 (20*79^2 + 75*79) | Yes | |
| 168666 | 5.012658 | 1.2.27 | 27.2.1 (27*79^2 + 2*79 + 1) | Apparel & Accessories > Clothing Accessories > Sunglasses | No |
| 56644 | 5.025316 | 1.6.9 | 9.6.1 (9*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Rings | No |
These are the training products that have the "8MM" tag (processing sequence 72). 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 |
|---|---|---|---|---|---|---|---|
| 9166 | Rue Duroc | 168666 | Apparel & Accessories > Clothing Accessories > Sunglasses | none | 37921 | Apparel & Accessories > Jewelry > Earrings | AHLEM, DARK TURTLE, PETITE |
| 9212 | Saint Germain | 168666 | Apparel & Accessories > Clothing Accessories > Sunglasses | none | 37921 | Apparel & Accessories > Jewelry > Earrings | AHLEM, DARK TURTLE |
| 9189 | Theatre | 130745 | GOLD | 0 | AHLEM, DARK TURTLE, FILIGREE, PETITE | ||
| 9193 | Rue Amélie | 130745 | GOLD | 0 | AHLEM, FILIGREE | ||
| 9209 | Lille | 130745 | GOLD | 0 | AHLEM, FILIGREE, PETITE | ||
| 9192 | Rue Fabert | 130745 | GOLD | 0 | AHLEM, FILIGREE | ||
| 9167 | Rue de Turenne | 130745 | GOLD | 0 | AHLEM, DARK TURTLE, FILIGREE, PETITE | ||
| 9143 | University of Tennessee | UT | Tungsten Ring Band | Black and Silver | 8MM | 56644 | Apparel & Accessories > Jewelry > Rings | none | -74101 | none |