Fold 3 - Understanding why coefficient 25439 was selected
Tag: CRYPTOGRAPHY
Selected Coefficient: 25439
Taxonomy Path: 1.6.4
Taxonomy Name: Apparel & Accessories > Jewelry > Brooches & Lapel Pins
Products with this tag: 4
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? |
|---|---|---|---|---|---|
| 25439 | 1.000160 | 1.6.4 | 4.6.1 (4*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Brooches & Lapel Pins | Yes |
| 475 | 1.000320 | 1.6 | 6.1 (6*79 + 1) | Apparel & Accessories > Jewelry | No |
| 6402 | 3.000000 | 3.2.1 | 1.2.3 (6241 + 2*79 + 3) | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts | No |
These are the training products that have the "CRYPTOGRAPHY" tag (processing sequence 3194). 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 |
|---|---|---|---|---|---|---|---|
| 4132 | Item054: Silicon Wafer Cryptographic Test Circuit Tie Tack - Steel & Rainbow Colors | 25439 | Apparel & Accessories > Jewelry > Brooches & Lapel Pins | none | 0 | none | |
| 4138 | Item055: Silicon Wafer Cryptographic Test Circuit Cuff Links - Steel & Rainbow Colors | 25439 | Apparel & Accessories > Jewelry > Brooches & Lapel Pins | none | 0 | none | |
| 4266 | Silicon Wafer with DS83C950 Security Processors - 6 inch, Cyptographic, Java Ring, iButton, DS1954 | 6402 | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts | 150MM, PROCESSOR WAFER | -19037 | none | |
| 4194 | Item058: Silicon Wafer Computer Chip Cuff Links - Yellow & Fire | 475 | Apparel & Accessories > Jewelry | none | -24964 | none |