Fold 4 - Understanding why coefficient 89641 was selected
Tag: SS22
Selected Coefficient: 89641
Taxonomy Path: 1.1.13
Taxonomy Name:
Products with this tag: 10
Unique residual values tried: 8
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? |
|---|---|---|---|---|---|
| 2948576 | 1.000874 | 1.1.13.5 | 5.13.1.1 (5*83^3 + 13*83^2 + 83 + 1) | No | |
| 4092150 | 1.000874 | 1.1.13.7 | 7.13.1.1 (7*83^3 + 13*83^2 + 83 + 1) | No | |
| 89641 | 1.000874 | 1.1.13 | 13.1.1 (13*83^2 + 83 + 1) | Yes | |
| 6372409 | 1.001016 | 1.1.12.11 | 11.12.1.1 (11*83^3 + 12*83^2 + 83 + 1) | No | |
| 130975 | 1.001016 | 1.1.19 | 19.1.1 (19*83^2 + 83 + 1) | No | |
| 1212548 | 1.001161 | 1.1.10.2 | 2.10.1.1 (2*83^3 + 10*83^2 + 83 + 1) | No | |
| 158531 | 1.001161 | 1.1.23 | 23.1.1 (23*83^2 + 83 + 1) | No | |
| -4663937 | 9.000000 | -1.1.13.8 | -8.13.1.1 (-(8*83^3 + 13*83^2 + 83 + 1)) | No |
These are the training products that have the "SS22" tag (processing sequence 6938). 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 |
|---|---|---|---|---|---|---|---|
| 33734 | Navy Cotton Linen Formal Trouser | 6372409 | none | 6282768 | none | ||
| 33728 | Sand Cotton Linen Formal Trousers | 6372409 | none | 6282768 | none | ||
| 33733 | Navy Striped Cotton Linen Grandad Shirt | 4092150 | none | 4002509 | none | ||
| 8564 | Sand Cotton Corduroy Overshirt | 2948576 | none | 2858935 | none | ||
| 33727 | Blue Check Chore Jacket | 1212548 | none | 1122907 | none | ||
| 33726 | Smoke Blue Linen Nehru Waistcoat | 158531 | none | 68890 | none | ||
| 8562 | Duck Egg Shawl Lapel Double Breasted Waistcoat | 130975 | none | 41334 | none | ||
| 8565 | Pale Blue Shawl Lapel Double Breasted Waistcoat | 130975 | none | 41334 | none | ||
| 8587 | Teal Shawl Lapel Double Breasted Waistcoat | 89641 | none | 0 | none | ||
| 27232 | P104 REGULAR FIT T-SHIRT - Black Multi Tie Dye | -4663937 | T-SHIRT, TOPS | -4753578 | none |