Fold 0 - Understanding why coefficient 10227 was selected
Tag: MEMORY
Selected Coefficient: 10227
Taxonomy Path: 3.2.2
Taxonomy Name: Arts & Entertainment > Hobbies & Creative Arts > Collectibles
Products with this tag: 28
Unique residual values tried: 12
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? |
|---|---|---|---|---|---|
| 10227 | 18.000793 | 3.2.2 | 2.2.3 (2*71^2 + 2*71 + 3) | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | Yes |
| 5186 | 18.001190 | 3.2.1 | 1.2.3 (5041 + 2*71 + 3) | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts | No |
| 0 | 19.014680 | 0 | 0 (0) | No | |
| 15123 | 19.015275 | 0.0.3 | 3.0.0 (3*71^2) | No | |
| -5041 | 19.015473 | -0.0.1 | -1.0.0 (-(5041)) | No | |
| 127764003 | 19.112676 | 0.69.68.1.5 | 5.1.68.69.0 (5*71^4 + 357911 + 68*71^2 + 69*71) | No | |
| -10227 | 25.000198 | -3.2.2 | -2.2.3 (-(2*71^2 + 2*71 + 3)) | No | |
| -368220 | 25.000198 | -14.3.2.1 | -1.2.3.14 (-(357911 + 2*71^2 + 3*71 + 14)) | No | |
| 4896 | 25.000397 | 68.68 | 68.68 (68*71 + 68) | No | |
| -373261 | 25.000397 | -14.3.3.1 | -1.3.3.14 (-(357911 + 3*71^2 + 3*71 + 14)) | No | |
| -378447 | 26.000000 | -17.5.4.1 | -1.4.5.17 (-(357911 + 4*71^2 + 5*71 + 17)) | No | |
| -20091 | 27.000000 | -69.69.3 | -3.69.69 (-(3*71^2 + 69*71 + 69)) | No |
These are the training products that have the "MEMORY" tag (processing sequence 115). 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 | 127764003 | ORGANIC | 127753776 | BLOOD PRESSURE, CIRCULATION | ||
| 4243 | Item028: Poké Ball Necklace - Silver, Red, Purple, Bronze, Pokémon, Pokemon | 15123 | PENDANT | 4896 | none | ||
| 4206 | Item003: IBM Memory Chip Necklace - IBM 4300 Mainframe Computer Memory | 15123 | PENDANT | 4896 | none | ||
| 3827 | The Intel 3101 - The First Memory Chip - C3101 Zebra/Gray Trace Chip | 10227 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | none | 0 | none | |
| 3829 | The Intel 4001 - The 4004's Program Store - ROM | 10227 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | none | 0 | 4004 | |
| 4189 | Gaming is a RIOT - Rockwell 6532 RIOT Silicon Wafer - MOS | 10227 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | none | 0 | none | |
| 3816 | The Intel 1101 - The First MOS Memory Chip | 10227 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | none | 0 | none | |
| 4236 | Memory Chips - The Early Intel Memory Chips | 10227 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | none | 0 | none | |
| 3818 | The Intel 3101 - The First Memory Chip | 10227 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | none | 0 | none | |
| 4183 | Digital Game Technology - Pinball to Game Consoles - Perfect for the Game Room | 5186 | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts | none | -5041 | GRAPHICS | |
| 3831 | The Intel 4003 - The 4004's Output Expander | 5186 | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts | none | -5041 | 4004 | |
| 4201 | Hard Drive Read/Write Head | 5186 | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts | none | -5041 | none | |
| 4212 | Intel 1103 DRAM | 5186 | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts | none | -5041 | none | |
| 4144 | Item006: Apple Microprocessor Pendant - PowerPC, Motorola, PowerMac, PPC750 | 4896 | PENDANT, MICROPROCESSOR | -5331 | APPLE | ||
| 4158 | ChipScapes Set #6: Computer Circuit Boards (3 Ornaments) | 0 | ORNAMENT | -10227 | GRAPHICS | ||
| 4171 | Item007: Computer Memory Chip Earrings - Blue/Purple/Pink/Silver | 0 | EARRINGS | -10227 | none | ||
| 4157 | ChipScapes Set #5: Computer Circuit Boards with Chips (3 Ornaments) | 0 | ORNAMENT | -10227 | GRAPHICS | ||
| 4155 | ChipScapes Set #3: Computer Logic Chips (3 Ornaments) | 0 | ORNAMENT | -10227 | LOGIC CHIP | ||
| 4237 | Item021: Memory Circuit Board Pendant - DRAM, RAM, Bronze, Green, Round, Gold | 0 | PENDANT | -10227 | GRAPHICS | ||
| 4184 | Memory Chips - The Early RAM Memory 1-bit to 1-Megabit | -5041 | FAIRCHILD | -15268 | TEXAS INSTRUMENTS | ||
| 3848 | Silicon Wafer - The Making of Computer Chips, Featuring the Amiga Gary, 5719 | -10227 | MICROPROCESSOR, SILICON WAFER | -20454 | GRAPHICS, MAKING COMPUTER CHIPS | ||
| 4086 | Item034: Apple Microprocessor Pendant - PowerPC, IBM, Canada, PPC750 | -10227 | PENDANT, MICROPROCESSOR | -20454 | APPLE | ||
| 4188 | Rare Collection of Four 6502 Family Silicon Wafers - 6502 CPU, 6521 PIA, 6549 CVDG, 6551 ACIA/UART - 4",MOS,Rockwell | -20091 | MICROPROCESSOR, SILICON WAFER | -30318 | none | ||
| 4161 | ChipScapes Set #9: Mixed Types - Art with Chip, Circuit Board, Computer Logic Chip (3 Ornaments) | -368220 | ORNAMENT, GIFT | -378447 | none | ||
| 4146 | Leadership, The Components of - Intel 4004, IBM System/360, Pong, and More Great Gift or Award | -368220 | MICROPROCESSOR, GIFT | -378447 | none | ||
| 4177 | Intel 4004 - The World's First Microprocessor with Chipset 4001, 4002, 4003 | -373261 | MICROPROCESSOR, GIFT | -383488 | P4004 | ||
| 4153 | ChipScapes Set #1: Art with Computer Chips (3 Ornaments) | -378447 | MICROPROCESSOR, ORNAMENT, GIFT | -388674 | LOGIC CHIP | ||
| 3889 | The Transistor to Computer Chips - Type A, 2N1613, Micrologic, 3101, Intel 4004, TMS1000 | -378447 | MICROPROCESSOR, FAIRCHILD, GIFT | -388674 | MICROCOMPUTER, P4004, TEXAS INSTRUMENTS |