Fold 1 - Understanding why coefficient 12643 was selected
Tag: MEMORY
Selected Coefficient: 12643
Taxonomy Path: 3.2.2
Taxonomy Name: Arts & Entertainment > Hobbies & Creative Arts > Collectibles
Products with this tag: 29
Unique residual values tried: 13
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 | 18.000641 | 3.2.2 | 2.2.3 (2*79^2 + 2*79 + 3) | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | Yes |
| 6402 | 18.001122 | 3.2.1 | 1.2.3 (6241 + 2*79 + 3) | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts | No |
| 0 | 20.013139 | 0 | 0 (0) | No | |
| 18723 | 20.013620 | 0.0.3 | 3.0.0 (3*79^2) | No | |
| -6241 | 20.013780 | -0.0.1 | -1.0.0 (-(6241)) | No | |
| 195723843 | 20.101266 | 0.77.76.1.5 | 5.1.76.77.0 (5*79^4 + 493039 + 76*79^2 + 77*79) | No | |
| -505772 | 25.000160 | -14.3.2.1 | -1.2.3.14 (-(493039 + 2*79^2 + 3*79 + 14)) | No | |
| -512013 | 25.000481 | -14.3.3.1 | -1.3.3.14 (-(493039 + 3*79^2 + 3*79 + 14)) | No | |
| 6080 | 28.000000 | 76.76 | 76.76 (76*79 + 76) | No | |
| -69126 | 28.000000 | -1.6.11 | -11.6.1 (-(11*79^2 + 6*79 + 1)) | No | |
| -12240 | 28.000000 | -74.75.1 | -1.75.74 (-(6241 + 75*79 + 74)) | No | |
| 5372380 | 28.000000 | 64.64.70.10 | 10.70.64.64 (10*79^3 + 70*79^2 + 64*79 + 64) | No | |
| -518415 | 28.000000 | -17.5.4.1 | -1.4.5.17 (-(493039 + 4*79^2 + 5*79 + 17)) | No |
These are the training products that have the "MEMORY" tag (processing sequence 195). 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 |
|---|---|---|---|---|---|---|---|
| 3109 | Green Trading Organic Brahmi Capsules | 195723843 | ORGANIC | 195711200 | CIRCULATION | ||
| 4235 | Item022: Memory Board Earrings - SDRAM, RAM, Dangles, Round, Green, Gold | 5372380 | EARRINGS, GOLD, GIFT, ROUND | 5359737 | ECB, DANGLES | ||
| 4243 | Item028: Poké Ball Necklace - Silver, Red, Purple, Bronze, Pokémon, Pokemon | 18723 | PENDANT | 6080 | none | ||
| 4206 | Item003: IBM Memory Chip Necklace - IBM 4300 Mainframe Computer Memory | 18723 | PENDANT | 6080 | none | ||
| 3829 | The Intel 4001 - The 4004's Program Store - ROM | 12643 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | none | 0 | none | |
| 3830 | The Intel 4002 - The 4004's Main Memory - RAM | 12643 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | none | 0 | none | |
| 4189 | Gaming is a RIOT - Rockwell 6532 RIOT Silicon Wafer - MOS | 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 | |
| 4236 | Memory Chips - The Early Intel Memory Chips | 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 | |
| 3892 | Memory Chips - Different Types - RAM, ROM, Bubble, CCD, Fash, EPROM | 6402 | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts | none | -6241 | none | |
| 4183 | Digital Game Technology - Pinball to Game Consoles - Perfect for the Game Room | 6402 | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts | none | -6241 | none | |
| 4201 | Hard Drive Read/Write Head | 6402 | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts | none | -6241 | none | |
| 3831 | The Intel 4003 - The 4004's Output Expander | 6402 | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts | none | -6241 | none | |
| 4144 | Item006: Apple Microprocessor Pendant - PowerPC, Motorola, PowerMac, PPC750 | 6080 | PENDANT, MICROPROCESSOR | -6563 | APPLE | ||
| 4237 | Item021: Memory Circuit Board Pendant - DRAM, RAM, Bronze, Green, Round, Gold | 0 | PENDANT | -12643 | ECB | ||
| 4155 | ChipScapes Set #3: Computer Logic Chips (3 Ornaments) | 0 | ORNAMENT | -12643 | LOGIC CHIP | ||
| 4157 | ChipScapes Set #5: Computer Circuit Boards with Chips (3 Ornaments) | 0 | ORNAMENT | -12643 | LOGIC | ||
| 4171 | Item007: Computer Memory Chip Earrings - Blue/Purple/Pink/Silver | 0 | EARRINGS | -12643 | RCA | ||
| 3848 | Silicon Wafer - The Making of Computer Chips, Featuring the Amiga Gary, 5719 | 0 | MICROPROCESSOR | -12643 | MAKING COMPUTER CHIPS | ||
| 4184 | Memory Chips - The Early RAM Memory 1-bit to 1-Megabit | -6241 | FAIRCHILD | -18884 | RCA | ||
| 4188 | Rare Collection of Four 6502 Family Silicon Wafers - 6502 CPU, 6521 PIA, 6549 CVDG, 6551 ACIA/UART - 4",MOS,Rockwell | -12240 | MICROPROCESSOR | -24883 | COMMUNICATION WAFER | ||
| 3891 | Item004: Computer Chip Earrings - Logic Chip, Dangles, Round, Blue, Silver, TRW | -69126 | EARRINGS, BLUE, ROUND | -81769 | LOGIC CHIP, DANGLES | ||
| 4231 | Intel's First Chips - Chips that Changed the World - The 4004, 8008, 8080, 3101 & 1702 | -505772 | MICROPROCESSOR, GIFT | -518415 | none | ||
| 4146 | Leadership, The Components of - Intel 4004, IBM System/360, Pong, and More Great Gift or Award | -505772 | MICROPROCESSOR, GIFT | -518415 | none | ||
| 4161 | ChipScapes Set #9: Mixed Types - Art with Chip, Circuit Board, Computer Logic Chip (3 Ornaments) | -505772 | ORNAMENT, GIFT | -518415 | LOGIC | ||
| 4177 | Intel 4004 - The World's First Microprocessor with Chipset 4001, 4002, 4003 | -512013 | MICROPROCESSOR, GIFT | -524656 | P4004 | ||
| 4153 | ChipScapes Set #1: Art with Computer Chips (3 Ornaments) | -518415 | ORNAMENT, MICROPROCESSOR, GIFT | -531058 | LOGIC CHIP |