Fold 0 - Understanding why coefficient -10227 was selected
Tag: SECURITY
Selected Coefficient: -10227
Taxonomy Path: -3.2.2
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? |
|---|---|---|---|---|---|
| -10227 | 3.000198 | -3.2.2 | -2.2.3 (-(2*71^2 + 2*71 + 3)) | Yes | |
| -15268 | 3.000397 | -3.2.3 | -3.2.3 (-(3*71^2 + 2*71 + 3)) | No | |
| 0 | 4.000198 | 0 | 0 (0) | No | |
| 20164 | 4.000198 | 0.0.4 | 4.0.0 (4*71^2) | No | |
| 651 | 5.000000 | 12.9 | 9.12 (9*71 + 12) | Hardware > Locks & Keys | No |
These are the training products that have the "SECURITY" tag (processing sequence 136). 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 | 20164 | SILICON WAFER, CUFF LINKS | 30391 | CRYPTOGRAPHY | ||
| 2702 | ALLEGION DV004 Security Door Viewer 30mm - 2hr Fire rated | 651 | Hardware > Locks & Keys | none | 10878 | none | |
| 4194 | Item058: Silicon Wafer Computer Chip Cuff Links - Yellow & Fire | 0 | SILICON WAFER, CUFF LINKS | 10227 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | CRYPTOGRAPHY | |
| 4087 | Item036: Silicon Wafer Cryptographic Test Circuit Earrings - Diamond Shaped, Bronze & Rainbow Colors | -10227 | EARRINGS, SILICON WAFER | 0 | CRYPTOGRAPHY | ||
| 4159 | ChipScapes Set #7: Mixed Types - Silicon Wafer Computer Chips (3 Ornaments) | -10227 | MICROPROCESSOR, ORNAMENT | 0 | none | ||
| 4266 | Silicon Wafer with DS83C950 Security Processors - 6 inch, Cyptographic, Java Ring, iButton, DS1954 | -15268 | MICROPROCESSOR, SILICON WAFER | -5041 | CRYPTOGRAPHY |