Fold 1 - Understanding why coefficient 48608953 was selected
Tag: HANG
Selected Coefficient: 48608953
Taxonomy Path: 3.2.1.2.1
Taxonomy Name:
Products with this tag: 6
Unique residual values tried: 5
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? |
|---|---|---|---|---|---|
| 48608953 | 1.000004 | 3.2.1.2.1 | 1.2.1.2.3 (47458321 + 2*83^3 + 6889 + 2*83 + 3) | Yes | |
| 15804771525 | 1.000004 | 3.2.1.2.1.4 | 4.1.2.1.2.3 (4*83^5 + 47458321 + 2*83^3 + 6889 + 2*83 + 3) | No | |
| 661949811940 | 1.000004 | 3.2.1.2.4.2.2 | 2.2.4.2.1.2.3 (2*83^6 + 2*83^5 + 4*83^4 + 2*83^3 + 6889 + 2*83 + 3) | No | |
| 7058 | 1.000005 | 3.2.1 | 1.2.3 (6889 + 2*83 + 3) | No | |
| 15796186904 | 5.000000 | 72.73.82.69.0.4 | 4.0.69.82.73.72 (4*83^5 + 69*83^3 + 82*83^2 + 73*83 + 72) | No |
These are the training products that have the "HANG" tag (processing sequence 6120). 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 |
|---|---|---|---|---|---|---|---|
| 23391 | Ply Bird Wall Art Round | Tui in Manuka | 661949811940 | none | 661901202987 | none | ||
| 23389 | There Is Always Hope | Unframed | Limited Edition Print | 15804771525 | none | 15756162572 | LOCAL | ||
| 23394 | Wanaka 1951 | Art Print Unframed | 15796186904 | UNDER $100 | 15747577951 | none | ||
| 23392 | Twin Circles Art Print | 48608953 | none | 0 | none | ||
| 23395 | Wanaka 1956 | Art Print Unframed | 7058 | none | -48601895 | none | ||
| 23397 | Wanaka 1970 (Mt Iron) | Art Print Unframed | 7058 | none | -48601895 | none |