Fold 4 - Understanding why coefficient -13947 was selected
Tag: GAMING
Selected Coefficient: -13947
Taxonomy Path: -3.2.2
Taxonomy Name:
Products with this tag: 11
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? |
|---|---|---|---|---|---|
| -13947 | 7.000290 | -3.2.2 | -2.2.3 (-(2*83^2 + 2*83 + 3)) | Yes | |
| -7058 | 7.000290 | -3.2.1 | -1.2.3 (-(6889 + 2*83 + 3)) | No | |
| -21005 | 9.000000 | -6.4.3 | -3.4.6 (-(3*83^2 + 4*83 + 6)) | No | |
| 6889 | 9.000145 | 0.0.1 | 1.0.0 (6889) | No | |
| 0 | 9.000145 | 0 | 0 (0) | No | |
| 55611 | 10.000000 | 1.6.8 | 8.6.1 (8*83^2 + 6*83 + 1) | No | |
| 20836 | 10.000000 | 3.2.3 | 3.2.3 (3*83^2 + 2*83 + 3) | No | |
| -579265 | 10.000000 | -8.7.1.1 | -1.1.7.8 (-(571787 + 6889 + 7*83 + 8)) | No |
These are the training products that have the "GAMING" tag (processing sequence 4349). 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 | 69558 | GAMES | ||
| 3870 | Signetics 2650 - The Mini Microprocessor - Powered Early Video Consoles | 20836 | SIGNETICS, FRAMED ARTWORK | 34783 | none | ||
| 4205 | IBM Gekko PowerPC- Brain of the Nintendo GameCube | 6889 | FRAMED ARTWORK | 20836 | none | ||
| 4176 | Game Cartridge Technology - Icons of the 20th Century - Perfect for the Game Room | 0 | FRAMED ARTWORK | 13947 | none | ||
| 4140 | 1976 Fairchild Channel F Videocart - The First Game Cartridge | -7058 | FIRST OF A KIND, FRAMED ARTWORK | 6889 | none | ||
| 4141 | 1978 Atari 2600 Space War - A Descendant of 1962 Spacewars! | -7058 | FIRST OF A KIND, FRAMED ARTWORK | 6889 | none | ||
| 4238 | MOS 6502 Microprocessor | -13947 | MOS, FRAMED ARTWORK | 0 | 6502 | ||
| 3868 | The Pong Chip - General Instruments Ball and Paddle AY-3-8500 | -13947 | MOS, FRAMED ARTWORK | 0 | none | ||
| 3814 | The IBM PowerPC - IBM's Microprocessor Revolution | -21005 | FIRST OF A KIND, FRAMED ARTWORK, CPU | -7058 | none | ||
| 4189 | Gaming is a RIOT - Rockwell 6532 RIOT Silicon Wafer - MOS | -21005 | ROCKWELL, MOS, FRAMED ARTWORK | -7058 | none | ||
| 6011 | USB-C VR Adapter | -579265 | HOME THEATER, ADAPTER | -565318 | none |