Fold 1 - Understanding why coefficient 6402 was selected
Tag: FAIRCHILD
Selected Coefficient: 6402
Taxonomy Path: 3.2.1
Taxonomy Name: Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts
Products with this tag: 7
Unique residual values tried: 4
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? |
|---|---|---|---|---|---|
| 6402 | 4.000000 | 3.2.1 | 1.2.3 (6241 + 2*79 + 3) | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts | Yes |
| 0 | 5.000000 | 0 | 0 (0) | No | |
| -25286 | 6.000000 | -6.4.4 | -4.4.6 (-(4*79^2 + 4*79 + 6)) | No | |
| -12643 | 6.000000 | -3.2.2 | -2.2.3 (-(2*79^2 + 2*79 + 3)) | No |
These are the training products that have the "FAIRCHILD" tag (processing sequence 2759). 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 |
|---|---|---|---|---|---|---|---|
| 4184 | Memory Chips - The Early RAM Memory 1-bit to 1-Megabit | 6402 | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts | 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 | 0 | none | |
| 4199 | Logic Chips - Ancestors of the Microprocessor | 6402 | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts | none | 0 | none | |
| 3889 | The Transistor to Computer Chips - Type A, 2N1613, Micrologic, 3101, Intel 4004, TMS1000 | 0 | FIRST OF A KIND | -6402 | none | ||
| 4140 | 1976 Fairchild Channel F Videocart - The First Game Cartridge | 0 | FIRST OF A KIND | -6402 | none | ||
| 4186 | Microprocessors - The Early MPUs, Part 2 - PPS-4, F8, 8008, 6100, 6701, IMP-00A, 2650 | -12643 | 8008, ROCKWELL | -19045 | none | ||
| 4271 | Ten of The First Microprocessors - Intel 4004, MOS 6502, AMD 2901, Fairchild F8, etc. | -25286 | ROCKWELL, 4004, MOS | -31688 | AMD |