Fold 3 - Understanding why coefficient 1033613 was selected
Tag: MARBLE
Selected Coefficient: 1033613
Taxonomy Path: 14.3.67.1
Taxonomy Name:
Products with this tag: 6
Unique residual values tried: 6
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? |
|---|---|---|---|---|---|
| 1033613 | 4.000002 | 14.3.67.1 | 1.67.3.14 (571787 + 67*83^2 + 3*83 + 14) | Yes | |
| 1605400 | 4.000002 | 14.3.67.2 | 2.67.3.14 (2*83^3 + 67*83^2 + 3*83 + 14) | No | |
| 0 | 5.000000 | 0 | 0 (0) | No | |
| 118138 | 5.000000 | 29.12.17 | 17.12.29 (17*83^2 + 12*83 + 29) | No | |
| 661428 | 5.000000 | 1.1.13.1 | 1.13.1.1 (571787 + 13*83^2 + 83 + 1) | No | |
| 11615022 | 5.000000 | 2.2.26.20 | 20.26.2.2 (20*83^3 + 26*83^2 + 2*83 + 2) | No |
These are the training products that have the "MARBLE" tag (processing sequence 7062). 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 |
|---|---|---|---|---|---|---|---|
| 2337 | Marble Zebra Print Zip Jumper | 11615022 | FITS SIZE 18 | 10581409 | none | ||
| 19183 | Orbit Vase | 1605400 | none | 571787 | none | ||
| 19311 | The Laya Vessel White - Small | 1033613 | none | 0 | none | ||
| 2334 | Marble Tie Sleeve Top | 661428 | TOPS, FITS SIZE 18 | -372185 | none | ||
| 31747 | Monogrammed Port Wine Tumbler | 118138 | VINYL | -915475 | none | ||
| 18837 | Berlin Table Set -634 | 0 | CENTER TABLE | -1033613 | none |