Fold 2 - Understanding why coefficient -12643 was selected
Tag: AMD
Selected Coefficient: -12643
Taxonomy Path: -3.2.2
Taxonomy Name:
Products with this tag: 6
Unique residual values tried: 5
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? |
|---|---|---|---|---|---|
| -12643 | 4.000000 | -3.2.2 | -2.2.3 (-(2*79^2 + 2*79 + 3)) | Yes | |
| -197260074 | 4.012658 | -76.9.7.5.5 | -5.5.7.9.76 (-(5*79^4 + 5*79^3 + 7*79^2 + 9*79 + 76)) | No | |
| 6402 | 4.012658 | 3.2.1 | 1.2.3 (6241 + 2*79 + 3) | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts | No |
| 0 | 5.000000 | 0 | 0 (0) | No | |
| 50403 | 5.000000 | 1.6.8 | 8.6.1 (8*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Necklaces | No |
These are the training products that have the "AMD" tag (processing sequence 168). 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 | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | 63046 | none | |
| 4143 | AMD Generations - Logic Chip to the K5 - Advanced Micro Devices, 9312, 2901, 9080 | 6402 | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts | none | 19045 | Business & Industrial > Construction > Raw Structural Components | none |
| 4272 | The AMD Athlon XP - A Challenger to the Throne | 0 | MICROPROCESSOR | 12643 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | none | |
| 4154 | ChipScapes Set #2: Flip Chips - AMD, IBM, and S3 (3 Ornaments) | -12643 | ORNAMENT, MICROPROCESSOR | 0 | none | ||
| 4271 | Ten of The First Microprocessors - Intel 4004, MOS 6502, AMD 2901, Fairchild F8, etc. | -12643 | MICROPROCESSOR, FAIRCHILD | 0 | none | ||
| 4145 | ChipScapes - A History of Computer Chips Told Through Art | -197260074 | GIFT | -197247431 | BOOK |