Fold 1 - Understanding why coefficient 12643 was selected
Tag: FIRST OF A KIND
Selected Coefficient: 12643
Taxonomy Path: 3.2.2
Taxonomy Name: Arts & Entertainment > Hobbies & Creative Arts > Collectibles
Products with this tag: 27
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? |
|---|---|---|---|---|---|
| 12643 | 1.000162 | 3.2.2 | 2.2.3 (2*79^2 + 2*79 + 3) | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | Yes |
| 505682 | 1.000209 | 3.2.2.1 | 1.2.2.3 (493039 + 2*79^2 + 2*79 + 3) | Arts & Entertainment > Hobbies & Creative Arts > Collectibles > Autographs | No |
| 6402 | 1.004006 | 3.2.1 | 1.2.3 (6241 + 2*79 + 3) | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts | No |
| 0 | 26.000000 | 0 | 0 (0) | No |
These are the training products that have the "FIRST OF A KIND" tag (processing sequence 1633). 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 |
|---|---|---|---|---|---|---|---|
| 4223 | Intel 8008 - The World's First 8-bit Microprocessor - C8008 | 505682 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles > Autographs | none | 493039 | none | |
| 3814 | The IBM PowerPC - IBM's Microprocessor Revolution | 12643 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | none | 0 | none | |
| 3816 | The Intel 1101 - The First MOS Memory Chip | 12643 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | none | 0 | none | |
| 3818 | The Intel 3101 - The First Memory Chip | 12643 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | none | 0 | none | |
| 3827 | The Intel 3101 - The First Memory Chip - C3101 Zebra/Gray Trace Chip | 12643 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | none | 0 | none | |
| 3865 | The National Semiconductor 4004 - First Microprocessor Clone | 12643 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | none | 0 | none | |
| 3869 | The RCA 1802 - Microprocessors in Space | 12643 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | none | 0 | none | |
| 3878 | The Texas Instruments TMS1000 - The First Computer on a Chip | 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 | FAIRCHILD | |
| 4140 | 1976 Fairchild Channel F Videocart - The First Game Cartridge | 12643 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | none | 0 | FAIRCHILD | |
| 4149 | IBM System/360 Processor Card | 12643 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | none | 0 | CIRCUIT BOARD | |
| 4175 | Intel 4004 - The World's First Microprocessor - ChipScape Artwork - 50th Anniversary | 12643 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | none | 0 | none | |
| 4185 | Microprocessors - The Early MPUs - 4004, 6502, 6800, Z80, TMS1000, 1802, and 2901 | 12643 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | none | 0 | none | |
| 4210 | IBM System/360 - 5 Processor Logic Circuit Boards - SLT, Solid Logic Technology | 12643 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | none | 0 | none | |
| 4211 | IBM System/360 - Processor Logic Circuit Boards, Magnetic Core, & SLT Fabrication Paperweight - One of a Kind | 12643 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | none | 0 | none | |
| 4216 | Intel 4004 - The World's First Microprocessor - D4004 with 4004 Chip Die | 12643 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | none | 0 | CHIP DIE | |
| 4219 | Intel 4004 - The World's First Microprocessor - P4004, Portrait | 12643 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | none | 0 | none | |
| 4222 | Intel 8008 - The World's First 8-bit Microprocessor | 12643 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | none | 0 | none | |
| 4247 | Rockwell T-1 Communication Chip Silicon Wafers - R8050, R8060, 4", 100mm | 12643 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | none | 0 | ROCKWELL, COMMUNICATION WAFER | |
| 4246 | Rockwell T-1 Communication Chip Silicon Wafer - R8070, Transceiver, 4", 100mm | 12643 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | none | 0 | ROCKWELL, COMMUNICATION WAFER | |
| 3813 | Early Computer Chips - The Firsts - Logic Chips, SIlicon Wafer, Chip Dies, RTL, ECL, DTL, TTL, CMOS | 12643 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | none | 0 | PROCESSOR WAFER | |
| 4224 | Intel 8087 - The X86 Floating Point Processor | 12643 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | none | 0 | none | |
| 4226 | Intel Generations - The First Generation, 4004 to the Pentium-Pro | 12643 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | none | 0 | none | |
| 4236 | Memory Chips - The Early Intel Memory Chips | 12643 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | none | 0 | none | |
| 4242 | Nvidia NV1 - Nvidia's First Graphics Processor - GPU, STG2000X, Diamond Edge | 12643 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | none | 0 | none | |
| 4241 | NEC µPD751 - The 4th Microprocessor, Japan's 1st - 751, D751D, uPD751D | 6402 | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts | none | -6241 | none | |
| 4218 | Intel 4004 - The World's First Microprocessor, P4004, 1976, Malaysia | 0 | COLLECTIBLE CHIP | -12643 | none |