Fold 1 - Understanding why coefficient -31688 was selected
Tag: AMD
Selected Coefficient: -31688
Taxonomy Path: -9.6.5
Taxonomy Name:
Products with this tag: 5
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? |
|---|---|---|---|---|---|
| -31688 | 4.000000 | -9.6.5 | -5.6.9 (-(5*79^2 + 6*79 + 9)) | Yes | |
| 0 | 4.000000 | 0 | 0 (0) | No | |
| 15 | 4.000000 | 15 | 15 (15) | Luggage & Bags | No |
| 12643 | 4.000000 | 3.2.2 | 2.2.3 (2*79^2 + 2*79 + 3) | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | No |
| 50403 | 4.000000 | 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 3637). 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 | 82091 | GAMES | |
| 4272 | The AMD Athlon XP - A Challenger to the Throne | 12643 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | none | 44331 | none | |
| 4145 | ChipScapes - A History of Computer Chips Told Through Art | 15 | Luggage & Bags | BOOK, ART | 31703 | none | |
| 4154 | ChipScapes Set #2: Flip Chips - AMD, IBM, and S3 (3 Ornaments) | 0 | ORNAMENT | 31688 | none | ||
| 4271 | Ten of The First Microprocessors - Intel 4004, MOS 6502, AMD 2901, Fairchild F8, etc. | -31688 | ROCKWELL, 4004, MOS, FAIRCHILD | 0 | none |