Fold 2 - Understanding why coefficient 7058 was selected
Tag: GAMING
Selected Coefficient: 7058
Taxonomy Path: 3.2.1
Taxonomy Name:
Products with this tag: 10
Unique residual values tried: 6
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 | 6.000290 | 3.2.1 | 1.2.3 (6889 + 2*83 + 3) | Yes | |
| 13947 | 6.000290 | 3.2.2 | 2.2.3 (2*83^2 + 2*83 + 3) | No | |
| 0 | 7.000000 | 0 | 0 (0) | No | |
| -98403654 | 9.000000 | -16.14.8.6.2 | -2.6.8.14.16 (-(2*83^4 + 6*83^3 + 8*83^2 + 14*83 + 16)) | No | |
| 55611 | 9.000000 | 1.6.8 | 8.6.1 (8*83^2 + 6*83 + 1) | No | |
| 4409392 | 9.000000 | 17.5.59.7 | 7.59.5.17 (7*83^3 + 59*83^2 + 5*83 + 17) | No |
These are the training products that have the "GAMING" tag (processing sequence 4470). 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 |
|---|---|---|---|---|---|---|---|
| 4238 | MOS 6502 Microprocessor | 4409392 | 6502 | 4402334 | Home & Garden > Decor > Seasonal & Holiday Decorations > Holiday Ornaments | MOS | |
| 4130 | Item052: AMD/ATI RV620 Terascale Radeon GPU Necklace - Bronze, Dark Green, Silver | 55611 | none | 48553 | GAMES | ||
| 4205 | IBM Gekko PowerPC- Brain of the Nintendo GameCube | 13947 | none | 6889 | none | ||
| 4146 | Leadership, The Components of - Intel 4004, IBM System/360, Pong, and More Great Gift or Award | 13947 | none | 6889 | none | ||
| 4176 | Game Cartridge Technology - Icons of the 20th Century - Perfect for the Game Room | 7058 | none | 0 | FAIRCHILD | ||
| 4183 | Digital Game Technology - Pinball to Game Consoles - Perfect for the Game Room | 7058 | none | 0 | none | ||
| 4189 | Gaming is a RIOT - Rockwell 6532 RIOT Silicon Wafer - MOS | 0 | ROCKWELL | -7058 | MOS | ||
| 4140 | 1976 Fairchild Channel F Videocart - The First Game Cartridge | 0 | FIRST OF A KIND | -7058 | FAIRCHILD | ||
| 4245 | Rockwell PPS-4 - Gaming Goes Digital - Gotteib, Pinball, Dragon, 11660EC | 0 | ROCKWELL | -7058 | none | ||
| 6011 | USB-C VR Adapter | -98403654 | HOME THEATER, CABLES, ADAPTER | -98410712 | none |