Fold 3 - Understanding why coefficient -10227 was selected
Tag: LOGIC CHIP
Selected Coefficient: -10227
Taxonomy Path: -3.2.2
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? |
|---|---|---|---|---|---|
| -10227 | 3.000198 | -3.2.2 | -2.2.3 (-(2*71^2 + 2*71 + 3)) | Yes | |
| -5186 | 3.000198 | -3.2.1 | -1.2.3 (-(5041 + 2*71 + 3)) | No | |
| -10212 | 4.000000 | -59.1.2 | -2.1.59 (-(2*71^2 + 71 + 59)) | No | |
| 5041 | 4.000000 | 0.0.1 | 1.0.0 (5041) | No | |
| 15413 | 4.000000 | 6.4.3 | 3.4.6 (3*71^2 + 4*71 + 6) | No |
These are the training products that have the "LOGIC CHIP" tag (processing sequence 1487). 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 |
|---|---|---|---|---|---|---|---|
| 4182 | Decades of Technology - Relays to Microcomputers | 15413 | MICROPROCESSOR, MICROCOMPUTER | 25640 | none | ||
| 4244 | Rare 1960s 1.6" Silicon Wafer - Mullard FCH211 NAND/NOR Sextuple Inverter - 39mm | 5041 | SILICON WAFER | 15268 | none | ||
| 4155 | ChipScapes Set #3: Computer Logic Chips (3 Ornaments) | -5186 | ORNAMENT, 6502, MEMORY, CHRISTMAS, MOTOROLA | 5041 | none | ||
| 3891 | Item004: Computer Chip Earrings - Logic Chip, Dangles, Round, Blue, Silver, TRW | -10212 | EARRINGS, ROUND, MEMORY, DANGLES | 15 | Luggage & Bags | none | |
| 4153 | ChipScapes Set #1: Art with Computer Chips (3 Ornaments) | -10227 | MICROPROCESSOR, ORNAMENT, 6502, MEMORY, CHRISTMAS | 0 | none |