Fold 3 - Understanding why coefficient 44807 was selected
Tag: FINIAL
Selected Coefficient: 44807
Taxonomy Path: 14.14.7
Taxonomy Name: Home & Garden > Lighting Accessories > Lamp Finials
Products with this tag: 9
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? |
|---|---|---|---|---|---|
| 44807 | 2.000000 | 14.14.7 | 7.14.14 (7*79^2 + 14*79 + 14) | Home & Garden > Lighting Accessories > Lamp Finials | Yes |
| 486 | 7.000160 | 12.6 | 6.12 (6*79 + 12) | Hardware > Hardware Accessories | No |
| 12968 | 7.000160 | 12.6.2 | 2.6.12 (2*79^2 + 6*79 + 12) | Hardware > Hardware Accessories > Cabinet Hardware | No |
These are the training products that have the "FINIAL" tag (processing sequence 1965). 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 |
|---|---|---|---|---|---|---|---|
| 12347 | White Round Marble Finial with Brass Base | 44807 | Home & Garden > Lighting Accessories > Lamp Finials | none | 0 | none | |
| 11309 | Polished Nickel Bullet Finial | 44807 | Home & Garden > Lighting Accessories > Lamp Finials | none | 0 | none | |
| 12220 | Urn Nickel Plated Finial | 44807 | Home & Garden > Lighting Accessories > Lamp Finials | none | 0 | none | |
| 12243 | Urn Brass Finial | 44807 | Home & Garden > Lighting Accessories > Lamp Finials | none | 0 | none | |
| 10568 | Crystal Pear Drop Finial | 44807 | Home & Garden > Lighting Accessories > Lamp Finials | none | 0 | none | |
| 12306 | Black Round Marble Finial with Brass Base | 44807 | Home & Garden > Lighting Accessories > Lamp Finials | none | 0 | none | |
| 12332 | Antique Brass Bullet Finial | 44807 | Home & Garden > Lighting Accessories > Lamp Finials | none | 0 | none | |
| 12271 | Solid Brass Polished Vine Finial | 12968 | Hardware > Hardware Accessories > Cabinet Hardware | none | -31839 | none | |
| 12355 | Polished Brass Tree Finial | 486 | Hardware > Hardware Accessories | none | -44321 | none |