Fold 3 - Understanding why coefficient -7058 was selected
Tag: GAMING
Selected Coefficient: -7058
Taxonomy Path: -3.2.1
Taxonomy Name:
Products with this tag: 14
Unique residual values tried: 8
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? |
|---|---|---|---|---|---|
| 6889 | 9.000290 | 0.0.1 | 1.0.0 (6889) | No | |
| -7058 | 9.000290 | -3.2.1 | -1.2.3 (-(6889 + 2*83 + 3)) | Yes | |
| 0 | 9.000435 | 0 | 0 (0) | No | |
| -13947 | 9.000435 | -3.2.2 | -2.2.3 (-(2*83^2 + 2*83 + 3)) | No | |
| 55611 | 13.000000 | 1.6.8 | 8.6.1 (8*83^2 + 6*83 + 1) | No | |
| -21005 | 13.000000 | -6.4.3 | -3.4.6 (-(3*83^2 + 4*83 + 6)) | No | |
| 13947 | 13.000000 | 3.2.2 | 2.2.3 (2*83^2 + 2*83 + 3) | No | |
| -97824389 | 13.000000 | -8.7.7.5.2 | -2.5.7.7.8 (-(2*83^4 + 5*83^3 + 7*83^2 + 7*83 + 8)) | No |
These are the training products that have the "GAMING" tag (processing sequence 4173). 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 |
|---|---|---|---|---|---|---|---|
| 4130 | Item052: AMD/ATI RV620 Terascale Radeon GPU Necklace - Bronze, Dark Green, Silver | 55611 | none | 62669 | GAMES | ||
| 4146 | Leadership, The Components of - Intel 4004, IBM System/360, Pong, and More Great Gift or Award | 13947 | none | 21005 | Business & Industrial > Construction > Raw Structural Components | none | |
| 4245 | Rockwell PPS-4 - Gaming Goes Digital - Gotteib, Pinball, Dragon, 11660EC | 6889 | GAMER | 13947 | none | ||
| 3870 | Signetics 2650 - The Mini Microprocessor - Powered Early Video Consoles | 6889 | GAMER | 13947 | none | ||
| 4205 | IBM Gekko PowerPC- Brain of the Nintendo GameCube | 6889 | GAMER | 13947 | none | ||
| 4183 | Digital Game Technology - Pinball to Game Consoles - Perfect for the Game Room | 0 | GAMER | 7058 | none | ||
| 4176 | Game Cartridge Technology - Icons of the 20th Century - Perfect for the Game Room | 0 | GAMER | 7058 | FAIRCHILD | ||
| 4140 | 1976 Fairchild Channel F Videocart - The First Game Cartridge | -7058 | FIRST OF A KIND, GAMER | 0 | FAIRCHILD | ||
| 4141 | 1978 Atari 2600 Space War - A Descendant of 1962 Spacewars! | -7058 | FIRST OF A KIND, GAMER | 0 | FAIRCHILD | ||
| 4189 | Gaming is a RIOT - Rockwell 6532 RIOT Silicon Wafer - MOS | -7058 | GAMER, MOS | 0 | none | ||
| 4238 | MOS 6502 Microprocessor | -13947 | GAMER, MOS | -6889 | none | ||
| 3868 | The Pong Chip - General Instruments Ball and Paddle AY-3-8500 | -13947 | GAMER, MOS | -6889 | none | ||
| 3814 | The IBM PowerPC - IBM's Microprocessor Revolution | -21005 | FIRST OF A KIND, CPU, GAMER | -13947 | none | ||
| 6011 | USB-C VR Adapter | -97824389 | HOME THEATER, CABLES | -97817331 | ADAPTER, HDMI |