Fold 4 - Understanding why coefficient 1043288 was selected
Tag: ROUND
Selected Coefficient: 1043288
Taxonomy Path: 14.13.9.2
Taxonomy Name: Home & Garden > Lighting > Lighting Fixtures > Ceiling Light Fixtures
Products with this tag: 4
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? |
|---|---|---|---|---|---|
| 1043288 | 2.000000 | 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 | Yes |
| -492482003142 | 3.000000 | -68.77.21.73.3.2.2 | -2.2.3.73.21.77.68 (-(2*79^6 + 2*79^5 + 3*79^4 + 73*79^3 + 21*79^2 + 77*79 + 68)) | No | |
| 1349 | 3.000000 | 6.17 | 17.6 (17*79 + 6) | Business & Industrial > Manufacturing | No |
These are the training products that have the "ROUND" tag (processing sequence 3078). 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 |
|---|---|---|---|---|---|---|---|
| 2661 | LARGE Tube Pendant Light - ROSE GOLD | 1043288 | Home & Garden > Lighting > Lighting Fixtures > Ceiling Light Fixtures | none | 0 | none | |
| 2678 | LARGE Tube Pendant Light - BRONZE GOLD | 1043288 | Home & Garden > Lighting > Lighting Fixtures > Ceiling Light Fixtures | none | 0 | none | |
| 2147 | Aluminum Ring Sizer - Silver & Blue | 1349 | Business & Industrial > Manufacturing | none | -1041939 | none | |
| 18683 | Ornament- Water Meter | -492482003142 | ORNAMENTS | -492483046430 | DECOR |