Fold 3 - Understanding why coefficient -2914547 was selected
Tag: BUTTON DOWN
Selected Coefficient: -2914547
Taxonomy Path: -0.0.72.5
Taxonomy Name:
Products with this tag: 3
Unique residual values tried: 3
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? |
|---|---|---|---|---|---|
| -2914547 | 1.012658 | -0.0.72.5 | -5.72.0.0 (-(5*79^3 + 72*79^2)) | Yes | |
| 411827 | 1.012658 | 0.78.65 | 65.78.0 (65*79^2 + 78*79) | No | |
| 574252 | 2.000000 | 1.1.13.1 | 1.13.1.1 (493039 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > Blouses | No |
These are the training products that have the "BUTTON DOWN" tag (processing sequence 893). 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 |
|---|---|---|---|---|---|---|---|
| 10660 | Ina Blouse in Black Cupro | 574252 | Apparel & Accessories > Clothing > Clothing Tops > Blouses | none | 3488799 | ELEVATED ESSENTIAL | |
| 10659 | Ina Blouse in Silk Houndstooth | 411827 | SILK | 3326374 | PRINTS | ||
| 888 | Distressed Cropped Oxford | -2914547 | ROSE | 0 | none |