Fold 4 - Understanding why coefficient 12643 was selected
Tag: FAIRCHILD
Selected Coefficient: 12643
Taxonomy Path: 3.2.2
Taxonomy Name: Arts & Entertainment > Hobbies & Creative Arts > Collectibles
Products with this tag: 7
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? |
|---|---|---|---|---|---|
| 12643 | 0.000481 | 3.2.2 | 2.2.3 (2*79^2 + 2*79 + 3) | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | Yes |
| 6402 | 0.000643 | 3.2.1 | 1.2.3 (6241 + 2*79 + 3) | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts | No |
| 992480 | 0.000645 | 3.2.1.2 | 2.1.2.3 (2*79^3 + 6241 + 2*79 + 3) | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts > Art & Crafting Materials | No |
These are the training products that have the "FAIRCHILD" tag (processing sequence 44). 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? | 992480 | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts > Art & Crafting Materials | none | 979837 | none | |
| 4271 | Ten of The First Microprocessors - Intel 4004, MOS 6502, AMD 2901, Fairchild F8, etc. | 12643 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | none | 0 | MICROPROCESSOR, AMD, MICROCOMPUTER | |
| 4141 | 1978 Atari 2600 Space War - A Descendant of 1962 Spacewars! | 12643 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | none | 0 | none | |
| 3889 | The Transistor to Computer Chips - Type A, 2N1613, Micrologic, 3101, Intel 4004, TMS1000 | 12643 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | none | 0 | MICROPROCESSOR, GIFT, MICROCOMPUTER, P4004, MEMORY | |
| 4140 | 1976 Fairchild Channel F Videocart - The First Game Cartridge | 12643 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | none | 0 | none | |
| 4176 | Game Cartridge Technology - Icons of the 20th Century - Perfect for the Game Room | 6402 | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts | none | -6241 | GIFT | |
| 4184 | Memory Chips - The Early RAM Memory 1-bit to 1-Megabit | 6402 | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts | none | -6241 | MEMORY |