Fold 0 - Understanding why coefficient -799166 was selected
Tag: BEANIE
Selected Coefficient: -799166
Taxonomy Path: -2.4.49.1
Taxonomy Name:
Products with this tag: 6
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? |
|---|---|---|---|---|---|
| -799166 | 3.000160 | -2.4.49.1 | -1.49.4.2 (-(493039 + 49*79^2 + 4*79 + 2)) | Yes | |
| -4212993 | 3.000320 | -2.4.43.8 | -8.43.4.2 (-(8*79^3 + 43*79^2 + 4*79 + 2)) | No | |
| 0 | 4.000002 | 0 | 0 (0) | No | |
| 493039 | 4.000002 | 0.0.0.1 | 1.0.0.0 (493039) | No | |
| -4050568 | 5.000000 | -1.2.17.8 | -8.17.2.1 (-(8*79^3 + 17*79^2 + 2*79 + 1)) | No |
These are the training products that have the "BEANIE" tag (processing sequence 3212). 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 |
|---|---|---|---|---|---|---|---|
| 1408 | IAM Worthy Scully | 493039 | HAT | 1292205 | none | ||
| 12577 | Tough Duck®Tough Duck Logo Knit Cap i36516 | 0 | 100% ACRYLIC, BLANK, TOUGH DUCK | 799166 | none | ||
| 12401 | AJM Acrylic Board Toque, Chunky waffle knit 1A130M | -799166 | 100% ACRYLIC, AJM, BLANK, HAT, OSFA | 0 | none | ||
| 12412 | AJM AJM Acrylic Board Toque, Chunky Cable Knit 9J037M | -799166 | 100% ACRYLIC, AJM, BLANK, HAT, OSFA | 0 | none | ||
| 10703 | Marbled Grey Knitted Warm Dog Beanie | -4050568 | AUTUMN / WINTER, HAT | -3251402 | none | ||
| 10708 | Beanie & Scarf Dog Combo | -4212993 | SCARF, AUTUMN / WINTER, HAT | -3413827 | none |