Fold 3 - Understanding why coefficient 10227 was selected
Tag: FAIRCHILD
Selected Coefficient: 10227
Taxonomy Path: 3.2.2
Taxonomy Name: Arts & Entertainment > Hobbies & Creative Arts > Collectibles
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 | 2.000397 | 3.2.2 | 2.2.3 (2*71^2 + 2*71 + 3) | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | Yes |
| 5186 | 2.000400 | 3.2.1 | 1.2.3 (5041 + 2*71 + 3) | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts | No |
| 721008 | 2.000400 | 3.2.1.2 | 2.1.2.3 (2*71^3 + 5041 + 2*71 + 3) | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts > Art & Crafting Materials | No |
| -5041 | 4.000198 | -0.0.1 | -1.0.0 (-(5041)) | No | |
| 0 | 4.000198 | 0 | 0 (0) | No |
These are the training products that have the "FAIRCHILD" tag (processing sequence 90). 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 |
|---|---|---|---|---|---|---|---|
| 4267 | Silicon Wafer with Early Bipolar Transistors - 1 inch, 30mm, Planar, Fairchild? | 721008 | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts > Art & Crafting Materials | none | 710781 | none | |
| 4140 | 1976 Fairchild Channel F Videocart - The First Game Cartridge | 10227 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | none | 0 | none | |
| 4141 | 1978 Atari 2600 Space War - A Descendant of 1962 Spacewars! | 10227 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | none | 0 | none | |
| 4176 | Game Cartridge Technology - Icons of the 20th Century - Perfect for the Game Room | 5186 | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts | none | -5041 | none | |
| 4186 | Microprocessors - The Early MPUs, Part 2 - PPS-4, F8, 8008, 6100, 6701, IMP-00A, 2650 | 0 | ROCKWELL | -10227 | 8008 | ||
| 4199 | Logic Chips - Ancestors of the Microprocessor | -5041 | MICROPROCESSOR | -15268 | none |