Fold 1 - Understanding why coefficient 661428 was selected
Tag: BUTTON DOWN
Selected Coefficient: 661428
Taxonomy Path: 1.1.13.1
Taxonomy Name:
Products with this tag: 4
Unique residual values tried: 4
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? |
|---|---|---|---|---|---|
| 661428 | 2.000002 | 1.1.13.1 | 1.13.1.1 (571787 + 13*83^2 + 83 + 1) | Yes | |
| 4092150 | 2.000002 | 1.1.13.7 | 7.13.1.1 (7*83^3 + 13*83^2 + 83 + 1) | No | |
| 0 | 3.000000 | 0 | 0 (0) | No | |
| 5325365 | 3.000000 | 2.2.26.9 | 9.26.2.2 (9*83^3 + 26*83^2 + 2*83 + 2) | No |
These are the training products that have the "BUTTON DOWN" tag (processing sequence 4741). 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 | 5325365 | ELEVATED ESSENTIAL | 4663937 | TOPS | ||
| 888 | Distressed Cropped Oxford | 4092150 | none | 3430722 | none | ||
| 10659 | Ina Blouse in Silk Houndstooth | 661428 | none | 0 | TOPS | ||
| 31742 | AERO Bandana Print Short Sleeve Resort Shirt | 0 | BUTTON UP | -661428 | RESORT |