Fold 1 - Understanding why coefficient -661428 was selected
Tag: SUMMER OUTFIT
Selected Coefficient: -661428
Taxonomy Path: -1.1.13.1
Taxonomy Name:
Products with this tag: 8
Unique residual values tried: 7
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? |
|---|---|---|---|---|---|
| -661428 | 5.012048 | -1.1.13.1 | -1.13.1.1 (-(571787 + 13*83^2 + 83 + 1)) | Yes | |
| -62666 | 5.024096 | -1.8.9 | -9.8.1 (-(9*83^2 + 8*83 + 1)) | No | |
| -633788 | 6.000145 | -0.0.9.1 | -1.9.0.0 (-(571787 + 9*83^2)) | No | |
| 0 | 6.000145 | 0 | 0 (0) | No | |
| 27640 | 6.000145 | 1.1.4 | 4.1.1 (4*83^2 + 83 + 1) | No | |
| 103419 | 6.000145 | 1.1.15 | 15.1.1 (15*83^2 + 83 + 1) | No | |
| -5325365 | 7.000000 | -2.2.26.9 | -9.26.2.2 (-(9*83^3 + 26*83^2 + 2*83 + 2)) | No |
These are the training products that have the "SUMMER OUTFIT" tag (processing sequence 5895). 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 |
|---|---|---|---|---|---|---|---|
| 1035 | Paige | 103419 | none | 764847 | RAILS | ||
| 970 | Magda Dress | 27640 | none | 689068 | Animals & Pet Supplies > Pet Supplies > Pet Collars & Harnesses > Breakaway & Safety Collars | none | |
| 893 | Dolan | 0 | FUN SUMMER COLORS | 661428 | TOPS | ||
| 1006 | Maria | -62666 | CHIC SANDALS, SUMMER SHOES | 598762 | none | ||
| 847 | Cecily Dress | -633788 | FUN SUMMER COLORS | 27640 | none | ||
| 933 | Georgette Ruffle | -661428 | CUTE DRESSES, FUN SUMMER COLORS | 0 | none | ||
| 834 | Bina -Red | -661428 | FUN SUMMER COLORS, SUMMER TOPS | 0 | none | ||
| 1024 | Motley: Army | -5325365 | BLOUSES, FUN SUMMER COLORS, SHORT SLEEVES | -4663937 | none |