Fold 0 - Understanding why coefficient 5186 was selected
Tag: TRANSISTOR
Selected Coefficient: 5186
Taxonomy Path: 3.2.1
Taxonomy Name: Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts
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? |
|---|---|---|---|---|---|
| 5186 | 3.000198 | 3.2.1 | 1.2.3 (5041 + 2*71 + 3) | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts | Yes |
| 10227 | 3.000397 | 3.2.2 | 2.2.3 (2*71^2 + 2*71 + 3) | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | No |
| -5041 | 4.000198 | -0.0.1 | -1.0.0 (-(5041)) | No | |
| 0 | 4.000198 | 0 | 0 (0) | No | |
| 15413 | 5.000000 | 6.4.3 | 3.4.6 (3*71^2 + 4*71 + 6) | No |
These are the training products that have the "TRANSISTOR" tag (processing sequence 141). 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 |
|---|---|---|---|---|---|---|---|
| 4182 | Decades of Technology - Relays to Microcomputers | 15413 | MICROPROCESSOR, MICROCOMPUTER | 10227 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | none | |
| 3812 | The Field Effect Transistor FET - Putting on the Squeeze | 10227 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | none | 5041 | none | |
| 3871 | The Solid State Transistor - The Planar Transistor | 5186 | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts | none | 0 | none | |
| 4273 | The Bipolar Junction Transistor - An Electronic Valve | 5186 | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts | none | 0 | none | |
| 3880 | The Transistor Chip - A Single Silicon Planar Transistor Computer Chip Die | 0 | SILICON WAFER | -5186 | none | ||
| 4262 | Silicon Wafer - What's in a Chip - The Integrated Circuit | -5041 | SILICON WAFER | -10227 | MAKING COMPUTER CHIPS |