Fold 3 - Understanding why coefficient -27640 was selected
Tag: FITTED DRESS
Selected Coefficient: -27640
Taxonomy Path: -1.1.4
Taxonomy Name:
Products with this tag: 5
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? |
|---|---|---|---|---|---|
| -27640 | 3.000000 | -1.1.4 | -4.1.1 (-(4*83^2 + 83 + 1)) | Yes | |
| -6978725 | 4.000000 | -2.2.17.12 | -12.17.2.2 (-(12*83^3 + 17*83^2 + 2*83 + 2)) | No | |
| 0 | 4.000000 | 0 | 0 (0) | No | |
| 1191881 | 4.000000 | 1.1.7.2 | 2.7.1.1 (2*83^3 + 7*83^2 + 83 + 1) | No |
These are the training products that have the "FITTED DRESS" tag (processing sequence 2804). 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 |
|---|---|---|---|---|---|---|---|
| 27945 | Nora | 1191881 | none | 1219521 | WORK DRESS | ||
| 27893 | Miracle Dress | 0 | PHOTOSHOOTFAB | 27640 | none | ||
| 27929 | Wren Dress | -27640 | SHOWER DRESS, HOLIDAY DRESS | 0 | none | ||
| 27932 | Wren Dress | -27640 | SHOWER DRESS, PHOTOSHOOTFAB | 0 | none | ||
| 27944 | Laurel Dress -Nursing | -6978725 | CAREER, PHOTOSHOOTFAB, SWEATER | -6951085 | NURSING DRESS |