Fold 1 - Understanding why coefficient -146383113 was selected
Tag: BLUE GRAY EMBROIDERY THREAD
Selected Coefficient: -146383113
Taxonomy Path: -80.67.0.7.3
Taxonomy Name:
Products with this tag: 4
Unique residual values tried: 4
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? |
|---|---|---|---|---|---|
| -146383113 | 2.012048 | -80.67.0.7.3 | -3.7.0.67.80 (-(3*83^4 + 7*83^3 + 67*83 + 80)) | Yes | |
| 146384530 | 2.012048 | 3.2.1.7.3 | 3.7.1.2.3 (3*83^4 + 7*83^3 + 6889 + 2*83 + 3) | No | |
| 1417 | 3.000000 | 6.17 | 17.6 (17*83 + 6) | No | |
| 1969659837528 | 3.000000 | 0.0.0.78.2.2.6 | 6.2.2.78.0.0.0 (6*83^6 + 2*83^5 + 2*83^4 + 78*83^3) | No |
These are the training products that have the "BLUE GRAY EMBROIDERY THREAD" tag (processing sequence 4731). 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 |
|---|---|---|---|---|---|---|---|
| 20018 | Madeira Classic Rayon #12 : Color 920-1295 Blue/Green, Cyan | 1969659837528 | 920-1167 | 1969806220641 | none | ||
| 20015 | Madeira Classic Rayon #12 : Color 920-1241 Gray, Obsidian | 146384530 | none | 292767643 | none | ||
| 20112 | Madeira Classic Rayon #12 : Color 920-1212 Gray, Stainless Steel | 1417 | none | 146384530 | none | ||
| 20104 | Madeira Classic Rayon #12 : Color 920-1153 Blue/Gray, Frosted Glass | -146383113 | 920-1167 | 0 | none |