Fold 3 - Understanding why coefficient 7058 was selected
Tag: GAMER
Selected Coefficient: 7058
Taxonomy Path: 3.2.1
Taxonomy Name:
Products with this tag: 11
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? |
|---|---|---|---|---|---|
| 7058 | 3.000581 | 3.2.1 | 1.2.3 (6889 + 2*83 + 3) | Yes | |
| 13947 | 3.000581 | 3.2.2 | 2.2.3 (2*83^2 + 2*83 + 3) | No | |
| 0 | 9.000000 | 0 | 0 (0) | No | |
| -13947 | 10.000000 | -3.2.2 | -2.2.3 (-(2*83^2 + 2*83 + 3)) | No |
These are the training products that have the "GAMER" tag (processing sequence 3775). 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 |
|---|---|---|---|---|---|---|---|
| 4205 | IBM Gekko PowerPC- Brain of the Nintendo GameCube | 13947 | none | 6889 | GAMING | ||
| 4189 | Gaming is a RIOT - Rockwell 6532 RIOT Silicon Wafer - MOS | 13947 | none | 6889 | MOS, GAMING | ||
| 3870 | Signetics 2650 - The Mini Microprocessor - Powered Early Video Consoles | 13947 | none | 6889 | GAMING | ||
| 4245 | Rockwell PPS-4 - Gaming Goes Digital - Gotteib, Pinball, Dragon, 11660EC | 13947 | none | 6889 | GAMING | ||
| 4176 | Game Cartridge Technology - Icons of the 20th Century - Perfect for the Game Room | 7058 | none | 0 | GAMING, FAIRCHILD | ||
| 3868 | The Pong Chip - General Instruments Ball and Paddle AY-3-8500 | 7058 | none | 0 | MOS, GAMING | ||
| 4183 | Digital Game Technology - Pinball to Game Consoles - Perfect for the Game Room | 7058 | none | 0 | GAMING | ||
| 4238 | MOS 6502 Microprocessor | 7058 | none | 0 | MOS, GAMING | ||
| 4141 | 1978 Atari 2600 Space War - A Descendant of 1962 Spacewars! | 0 | FIRST OF A KIND | -7058 | GAMING, FAIRCHILD | ||
| 4140 | 1976 Fairchild Channel F Videocart - The First Game Cartridge | 0 | FIRST OF A KIND | -7058 | GAMING, FAIRCHILD | ||
| 3814 | The IBM PowerPC - IBM's Microprocessor Revolution | -13947 | FIRST OF A KIND, CPU | -21005 | GAMING |