Fold 1 - Understanding why coefficient 1536327 was selected
Tag: CEILING
Selected Coefficient: 1536327
Taxonomy Path: 14.13.9.3
Taxonomy Name: Home & Garden > Lighting > Lighting Fixtures > Chandeliers
Products with this tag: 5
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? |
|---|---|---|---|---|---|
| 1536327 | 0.000002 | 14.13.9.3 | 3.9.13.14 (3*79^3 + 9*79^2 + 13*79 + 14) | Home & Garden > Lighting > Lighting Fixtures > Chandeliers | Yes |
| 1043288 | 0.000008 | 14.13.9.2 | 2.9.13.14 (2*79^3 + 9*79^2 + 13*79 + 14) | Home & Garden > Lighting > Lighting Fixtures > Ceiling Light Fixtures | No |
These are the training products that have the "CEILING" tag (processing sequence 939). 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 |
|---|---|---|---|---|---|---|---|
| 12381 | Camer Style Glass Chandelier | 1536327 | Home & Garden > Lighting > Lighting Fixtures > Chandeliers | none | 0 | none | |
| 12392 | Empire Brass Four Light Chandelier | 1536327 | Home & Garden > Lighting > Lighting Fixtures > Chandeliers | none | 0 | none | |
| 12393 | Elegant Brass and Flower Chandelier | 1536327 | Home & Garden > Lighting > Lighting Fixtures > Chandeliers | none | 0 | none | |
| 12402 | Spanish Brass and Crystal Shade Chandelier | 1536327 | Home & Garden > Lighting > Lighting Fixtures > Chandeliers | none | 0 | none | |
| 12383 | Mid-Century Modern Polished Nickel Ceiling Fixture | 1043288 | Home & Garden > Lighting > Lighting Fixtures > Ceiling Light Fixtures | none | -493039 | none |