Fold 1 - 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 | 3.000198 | 3.2.2 | 2.2.3 (2*71^2 + 2*71 + 3) | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | Yes |
| -5041 | 3.000201 | -0.0.1 | -1.0.0 (-(5041)) | No | |
| 710781 | 3.000201 | 0.0.70.1 | 1.70.0.0 (357911 + 70*71^2) | No | |
| 0 | 3.000397 | 0 | 0 (0) | No | |
| 5186 | 3.000397 | 3.2.1 | 1.2.3 (5041 + 2*71 + 3) | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts | No |
These are the training products that have the "FAIRCHILD" tag (processing sequence 24). 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? | 710781 | SILICON WAFER | 700554 | none | ||
| 4141 | 1978 Atari 2600 Space War - A Descendant of 1962 Spacewars! | 10227 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | none | 0 | none | |
| 4186 | Microprocessors - The Early MPUs, Part 2 - PPS-4, F8, 8008, 6100, 6701, IMP-00A, 2650 | 10227 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | none | 0 | none | |
| 4184 | Memory Chips - The Early RAM Memory 1-bit to 1-Megabit | 5186 | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts | none | -5041 | TEXAS INSTRUMENTS, MOTOROLA | |
| 4271 | Ten of The First Microprocessors - Intel 4004, MOS 6502, AMD 2901, Fairchild F8, etc. | 0 | MICROPROCESSOR | -10227 | AMD, 4004, MICROCOMPUTER, TEXAS INSTRUMENTS | ||
| 4199 | Logic Chips - Ancestors of the Microprocessor | -5041 | MICROPROCESSOR | -15268 | TEXAS INSTRUMENTS, MOTOROLA |