Fold 0 - Understanding why coefficient 15804771525 was selected
Tag: HANG
Selected Coefficient: 15804771525
Taxonomy Path: 3.2.1.2.1.4
Taxonomy Name:
Products with this tag: 6
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? |
|---|---|---|---|---|---|
| 15804771525 | 0.000003 | 3.2.1.2.1.4 | 4.1.2.1.2.3 (4*83^5 + 47458321 + 2*83^3 + 6889 + 2*83 + 3) | Yes | |
| 48608953 | 0.000003 | 3.2.1.2.1 | 1.2.1.2.3 (47458321 + 2*83^3 + 6889 + 2*83 + 3) | No | |
| 7058 | 0.000007 | 3.2.1 | 1.2.3 (6889 + 2*83 + 3) | No |
These are the training products that have the "HANG" tag (processing sequence 4598). 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 |
|---|---|---|---|---|---|---|---|
| 23389 | There Is Always Hope | Unframed | Limited Edition Print | 15804771525 | none | 0 | none | ||
| 23394 | Wanaka 1951 | Art Print Unframed | 15804771525 | none | 0 | none | ||
| 23400 | What Guides You | Unframed | Limited Edition Print | 15804771525 | none | 0 | none | ||
| 23392 | Twin Circles Art Print | 48608953 | none | -15756162572 | none | ||
| 23395 | Wanaka 1956 | Art Print Unframed | 7058 | none | -15804764467 | none | ||
| 23398 | Wanaka 1970 | Art Print Unframed | 7058 | none | -15804764467 | none |