Fold 0 - Understanding why coefficient 689067 was selected
Tag: FW21
Selected Coefficient: 689067
Taxonomy Path: 1.2.17.1
Taxonomy Name:
Products with this tag: 5
Unique residual values tried: 5
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? |
|---|---|---|---|---|---|
| 689067 | 3.012048 | 1.2.17.1 | 1.17.2.1 (571787 + 17*83^2 + 2*83 + 1) | Yes | |
| 2369900 | 3.012048 | 1.1.12.4 | 4.12.1.1 (4*83^3 + 12*83^2 + 83 + 1) | No | |
| -4657044 | 4.000000 | -80.0.12.8 | -8.12.0.80 (-(8*83^3 + 12*83^2 + 80)) | No | |
| 0 | 4.000000 | 0 | 0 (0) | No | |
| 6372405 | 4.000000 | 80.0.12.11 | 11.12.0.80 (11*83^3 + 12*83^2 + 80) | No |
These are the training products that have the "FW21" tag (processing sequence 5634). 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 |
|---|---|---|---|---|---|---|---|
| 27144 | Woodland Cozy-Dry Rain & Snow Fleece Lined Pants | Jan & Jul | 6372405 | BRAND_JAN & JUL | 5683338 | none | ||
| 27231 | P002 MID RISE SLIM JEAN - White Dirty Resin Blowout | 2369900 | none | 1680833 | BOTTOMS | ||
| 30107 | Swordfish in Donegal Tweed | 689067 | none | 0 | HATS | ||
| 27121 | Terrazzo Grow With Me Winter Trapper Hat | 0 | BRAND_JAN & JUL | -689067 | none | ||
| 27148 | Wine Roan Sweater | -4657044 | SIZE_6-7 YEARS | -5346111 | none |