Fold 0 - Understanding why coefficient -5997681 was selected
Tag: WOVEN TIE
Selected Coefficient: -5997681
Taxonomy Path: -1.1.13.12
Taxonomy Name:
Products with this tag: 2
Unique residual values tried: 2
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? |
|---|---|---|---|---|---|
| -5997681 | 1.000000 | -1.1.13.12 | -12.13.1.1 (-(12*79^3 + 13*79^2 + 79 + 1)) | Yes | |
| 0 | 1.000000 | 0 | 0 (0) | No |
These are the training products that have the "WOVEN TIE" tag (processing sequence 3131). 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 |
|---|---|---|---|---|---|---|---|
| 14333 | Humpback Whale Necktie - Woven Silk | 0 | WOVEN SILK, NAVY, PINK PATTERN | 5997681 | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | none | |
| 14332 | Sperm Whale Necktie - Grey on Navy, Woven Silk | -5997681 | WOVEN SILK, NAVY | 0 | none |