Fold 1 - Understanding why coefficient -18884 was selected
Tag: RCA
Selected Coefficient: -18884
Taxonomy Path: -3.2.3
Taxonomy Name:
Products with this tag: 3
Unique residual values tried: 3
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? |
|---|---|---|---|---|---|
| -18884 | 1.000160 | -3.2.3 | -3.2.3 (-(3*79^2 + 2*79 + 3)) | Yes | |
| -12643 | 1.000160 | -3.2.2 | -2.2.3 (-(2*79^2 + 2*79 + 3)) | No | |
| 518415 | 2.000000 | 17.5.4.1 | 1.4.5.17 (493039 + 4*79^2 + 5*79 + 17) | No |
These are the training products that have the "RCA" tag (processing sequence 2413). 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 |
|---|---|---|---|---|---|---|---|
| 4271 | Ten of The First Microprocessors - Intel 4004, MOS 6502, AMD 2901, Fairchild F8, etc. | 518415 | MICROPROCESSOR, FAIRCHILD, AMD, MICROCOMPUTER | 537299 | none | ||
| 4171 | Item007: Computer Memory Chip Earrings - Blue/Purple/Pink/Silver | -12643 | EARRINGS, MEMORY | 6241 | none | ||
| 4184 | Memory Chips - The Early RAM Memory 1-bit to 1-Megabit | -18884 | FAIRCHILD, MEMORY | 0 | none |