Fold 2 - Understanding why coefficient 493039 was selected
Tag: STYLE
Selected Coefficient: 493039
Taxonomy Path: 0.0.0.1
Taxonomy Name:
Products with this tag: 12
Unique residual values tried: 12
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? |
|---|---|---|---|---|---|
| 493039 | 8.012979 | 0.0.0.1 | 1.0.0.0 (493039) | Yes | |
| 5467116 | 8.012979 | 0.0.7.11 | 11.7.0.0 (11*79^3 + 7*79^2) | No | |
| 1422948 | 8.012979 | 0.0.70.2 | 2.70.0.0 (2*79^3 + 70*79^2) | No | |
| 4780527 | 8.037975 | 0.78.54.9 | 9.54.78.0 (9*79^3 + 54*79^2 + 78*79) | No | |
| -551255852 | 10.000002 | -14.10.6.12.14 | -14.12.6.10.14 (-(14*79^4 + 12*79^3 + 6*79^2 + 10*79 + 14)) | No | |
| -546818501 | 10.000002 | -14.10.6.3.14 | -14.3.6.10.14 (-(14*79^4 + 3*79^3 + 6*79^2 + 10*79 + 14)) | No | |
| -93695 | 10.000160 | -1.1.15 | -15.1.1 (-(15*79^2 + 79 + 1)) | No | |
| -1541607 | 10.000160 | -1.1.10.3 | -3.10.1.1 (-(3*79^3 + 10*79^2 + 79 + 1)) | No | |
| -667947 | 10.000160 | -2.2.28.1 | -1.28.2.2 (-(493039 + 28*79^2 + 2*79 + 2)) | No | |
| -20969920 | 10.000160 | -2.2.42.42 | -42.42.2.2 (-(42*79^3 + 42*79^2 + 2*79 + 2)) | No | |
| -5916388 | 11.000000 | -78.77.78.11 | -11.78.77.78 (-(11*79^3 + 78*79^2 + 77*79 + 78)) | No | |
| 559568864 | 11.000000 | 14.10.74.28.14 | 14.28.74.10.14 (14*79^4 + 28*79^3 + 74*79^2 + 10*79 + 14) | No |
These are the training products that have the "STYLE" tag (processing sequence 2812). The residual is the encoded taxonomy value minus all coefficients from previously processed tags.