Tag Coefficient Debug: FIRST OF A KIND

Fold 3 - Understanding why coefficient 13947 was selected

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Summary

Tag: FIRST OF A KIND

Selected Coefficient: 13947

Taxonomy Path: 3.2.2

Taxonomy Name:

Products with this tag: 28

Unique residual values tried: 3

Candidate Coefficients Tried

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?
139470.0001473.2.22.2.3 (2*83^2 + 2*83 + 3)Yes
5857340.0001913.2.2.11.2.2.3 (571787 + 2*83^2 + 2*83 + 3)Arts & Entertainment > Hobbies & Creative Arts > Collectibles > AutographsNo
70580.0039193.2.11.2.3 (6889 + 2*83 + 3)No

Products with this Tag

These are the training products that have the "FIRST OF A KIND" tag (processing sequence 2241). 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
4223Intel 8008 - The World's First 8-bit Microprocessor - C8008585734Arts & Entertainment > Hobbies & Creative Arts > Collectibles > Autographsnone571787none
3814The IBM PowerPC - IBM's Microprocessor Revolution13947none0CPU, GAMER, GAMING
3816The Intel 1101 - The First MOS Memory Chip13947none0none
3818The Intel 3101 - The First Memory Chip13947none0none
3827The Intel 3101 - The First Memory Chip - C3101 Zebra/Gray Trace Chip13947none0none
3865The National Semiconductor 4004 - First Microprocessor Clone13947none0none
3869The RCA 1802 - Microprocessors in Space13947none0none
3878The Texas Instruments TMS1000 - The First Computer on a Chip13947none0none
3889The Transistor to Computer Chips - Type A, 2N1613, Micrologic, 3101, Intel 4004, TMS100013947none0FAIRCHILD
41401976 Fairchild Channel F Videocart - The First Game Cartridge13947none0GAMER, GAMING, FAIRCHILD
41411978 Atari 2600 Space War - A Descendant of 1962 Spacewars!13947none0GAMER, GAMING, FAIRCHILD
4149IBM System/360 Processor Card13947none0none
4175Intel 4004 - The World's First Microprocessor - ChipScape Artwork - 50th Anniversary13947none0none
4210IBM System/360 - 5 Processor Logic Circuit Boards - SLT, Solid Logic Technology13947none0none
4211IBM System/360 - Processor Logic Circuit Boards, Magnetic Core, & SLT Fabrication Paperweight - One of a Kind13947none0none
4215Intel 4004 - The World's First Microprocessor13947none0none
4216Intel 4004 - The World's First Microprocessor - D4004 with 4004 Chip Die13947none0CHIP DIE
4219Intel 4004 - The World's First Microprocessor - P4004, Portrait13947none0none
4222Intel 8008 - The World's First 8-bit Microprocessor13947none0none
4224Intel 8087 - The X86 Floating Point Processor13947none0none
4226Intel Generations - The First Generation, 4004 to the Pentium-Pro13947none0none
4231Intel's First Chips - Chips that Changed the World - The 4004, 8008, 8080, 3101 & 170213947none04004
4240NEC µPD751 - The 4th Microprocessor, Japan's 1st - 751, D751C, uPD751C13947none0none
4247Rockwell T-1 Communication Chip Silicon Wafers - R8050, R8060, 4", 100mm13947none0none
3813Early Computer Chips - The Firsts - Logic Chips, SIlicon Wafer, Chip Dies, RTL, ECL, DTL, TTL, CMOS13947none0none
4242Nvidia NV1 - Nvidia's First Graphics Processor - GPU, STG2000X, Diamond Edge13947none0none
4246Rockwell T-1 Communication Chip Silicon Wafer - R8070, Transceiver, 4", 100mm13947none0none
4241NEC µPD751 - The 4th Microprocessor, Japan's 1st - 751, D751D, uPD751D7058none-6889none