Fold 1 - Understanding why coefficient -531058 was selected
Tag: LOGIC CHIP
Selected Coefficient: -531058
Taxonomy Path: -20.7.6.1
Taxonomy Name:
Products with this tag: 6
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? |
|---|---|---|---|---|---|
| -531058 | 5.000000 | -20.7.6.1 | -1.6.7.20 (-(493039 + 6*79^2 + 7*79 + 20)) | Yes | |
| -493129 | 5.000000 | -11.1.0.1 | -1.0.1.11 (-(493039 + 79 + 11)) | No | |
| -81769 | 5.000000 | -4.8.13 | -13.8.4 (-(13*79^2 + 8*79 + 4)) | No | |
| -12643 | 5.000000 | -3.2.2 | -2.2.3 (-(2*79^2 + 2*79 + 3)) | No | |
| 0 | 5.000000 | 0 | 0 (0) | No | |
| 12643 | 5.000000 | 3.2.2 | 2.2.3 (2*79^2 + 2*79 + 3) | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | No |
These are the training products that have the "LOGIC CHIP" tag (processing sequence 3337). 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 |
|---|---|---|---|---|---|---|---|
| 4244 | Rare 1960s 1.6" Silicon Wafer - Mullard FCH211 NAND/NOR Sextuple Inverter - 39mm | 12643 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | none | 543701 | none | |
| 4182 | Decades of Technology - Relays to Microcomputers | 0 | MICROPROCESSOR, GIFT, MICROCOMPUTER, TRANSISTOR | 531058 | none | ||
| 4155 | ChipScapes Set #3: Computer Logic Chips (3 Ornaments) | -12643 | ORNAMENT, MEMORY | 518415 | none | ||
| 3891 | Item004: Computer Chip Earrings - Logic Chip, Dangles, Round, Blue, Silver, TRW | -81769 | EARRINGS, BLUE, ROUND, MEMORY | 449289 | DANGLES | ||
| 3813 | Early Computer Chips - The Firsts - Logic Chips, SIlicon Wafer, Chip Dies, RTL, ECL, DTL, TTL, CMOS | -493129 | GIFT | 37929 | none | ||
| 4153 | ChipScapes Set #1: Art with Computer Chips (3 Ornaments) | -531058 | ORNAMENT, MICROPROCESSOR, GIFT, MEMORY | 0 | none |