Fold 0 - Understanding why coefficient -10227 was selected
Tag: AMD
Selected Coefficient: -10227
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? |
|---|---|---|---|---|---|
| -10227 | 4.000000 | -3.2.2 | -2.2.3 (-(2*71^2 + 2*71 + 3)) | Yes | |
| 0 | 5.000000 | 0 | 0 (0) | No | |
| 4984 | 5.000000 | 14.70 | 70.14 (70*71 + 14) | No | |
| 5186 | 5.000000 | 3.2.1 | 1.2.3 (5041 + 2*71 + 3) | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts | No |
| 40755 | 5.000000 | 1.6.8 | 8.6.1 (8*71^2 + 6*71 + 1) | Apparel & Accessories > Jewelry > Necklaces | No |
These are the training products that have the "AMD" tag (processing sequence 54). 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 | 40755 | Apparel & Accessories > Jewelry > Necklaces | none | 50982 | none | |
| 4143 | AMD Generations - Logic Chip to the K5 - Advanced Micro Devices, 9312, 2901, 9080 | 5186 | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts | none | 15413 | none | |
| 4145 | ChipScapes - A History of Computer Chips Told Through Art | 4984 | SILICON WAFER | 15211 | Media > Books > Print Books | BOOK | |
| 4272 | The AMD Athlon XP - A Challenger to the Throne | 0 | MICROPROCESSOR | 10227 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | none | |
| 4154 | ChipScapes Set #2: Flip Chips - AMD, IBM, and S3 (3 Ornaments) | -10227 | MICROPROCESSOR, ORNAMENT | 0 | none | ||
| 4271 | Ten of The First Microprocessors - Intel 4004, MOS 6502, AMD 2901, Fairchild F8, etc. | -10227 | MICROPROCESSOR, FAIRCHILD | 0 | MICROCOMPUTER |