Fold 3 - Understanding why coefficient 15405 was selected
Tag: CUFF LINKS
Selected Coefficient: 15405
Taxonomy Path: 69.3.3
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? |
|---|---|---|---|---|---|
| 15405 | 1.000000 | 69.3.3 | 3.3.69 (3*71^2 + 3*71 + 69) | Yes | |
| 20591 | 1.000000 | 1.6.4 | 4.6.1 (4*71^2 + 6*71 + 1) | Apparel & Accessories > Jewelry > Brooches & Lapel Pins | No |
These are the training products that have the "CUFF LINKS" tag (processing sequence 35). 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 |
|---|---|---|---|---|---|---|---|
| 4172 | Item056: Graphics Chip Cuff Links - S3 Graphics, GPU | 20591 | Apparel & Accessories > Jewelry > Brooches & Lapel Pins | none | 5186 | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts | none |
| 4138 | Item055: Silicon Wafer Cryptographic Test Circuit Cuff Links - Steel & Rainbow Colors | 15405 | SILICON WAFER | 0 | SECURITY, DALLAS SEMICONDUCTOR |