Fold 1 - Understanding why coefficient 5726018 was selected
Tag: GALLERY
Selected Coefficient: 5726018
Taxonomy Path: 14.15.1.10
Taxonomy Name:
Products with this tag: 5
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? |
|---|---|---|---|---|---|
| 5726018 | 1.012048 | 14.15.1.10 | 10.1.15.14 (10*83^3 + 6889 + 15*83 + 14) | Yes | |
| 69817 | 1.036145 | 14.11.10 | 10.11.14 (10*83^2 + 11*83 + 14) | No | |
| 1000 | 4.000000 | 4.12 | 12.4 (12*83 + 4) | No |
These are the training products that have the "GALLERY" tag (processing sequence 3892). 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 |
|---|---|---|---|---|---|---|---|
| 7837 | Arlecchino Quilt | 5726018 | none | 0 | none | ||
| 10139 | Un Giorno alle Terme Quilt | 5726018 | none | 0 | none | ||
| 10140 | The Orange "Drunkard Path" Wall Hanging Quilt | 5726018 | none | 0 | none | ||
| 10128 | Christmas Dresden Table Runner | 69817 | none | -5656201 | none | ||
| 10148 | PLAYFUL! Quilt | 1000 | none | -5725018 | none |