Fold 2 - Understanding why coefficient -548840744 was selected
Tag: ATTIRE
Selected Coefficient: -548840744
Taxonomy Path: -15.12.14.7.14
Taxonomy Name:
Products with this tag: 8
Unique residual values tried: 7
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? |
|---|---|---|---|---|---|
| -548840744 | 3.000322 | -15.12.14.7.14 | -14.7.14.12.15 (-(14*79^4 + 7*79^3 + 14*79^2 + 12*79 + 15)) | Yes | |
| -554264173 | 3.000325 | -15.12.14.18.14 | -14.18.14.12.15 (-(14*79^4 + 18*79^3 + 14*79^2 + 12*79 + 15)) | No | |
| -554813381 | 3.000641 | -15.12.23.19.14 | -14.19.23.12.15 (-(14*79^4 + 19*79^3 + 23*79^2 + 12*79 + 15)) | No | |
| -554744730 | 3.000641 | -15.12.12.19.14 | -14.19.12.12.15 (-(14*79^4 + 19*79^3 + 12*79^2 + 12*79 + 15)) | No | |
| -555381471 | 6.012658 | -16.14.35.20.14 | -14.20.35.14.16 (-(14*79^4 + 20*79^3 + 35*79^2 + 14*79 + 16)) | No | |
| -554838425 | 6.012658 | -16.13.27.19.14 | -14.19.27.13.16 (-(14*79^4 + 19*79^3 + 27*79^2 + 13*79 + 16)) | No | |
| 0 | 7.000000 | 0 | 0 (0) | No |
These are the training products that have the "ATTIRE" tag (processing sequence 492). The residual is the encoded taxonomy value minus all coefficients from previously processed tags.