Fold 0 - Understanding why coefficient -388674 was selected
Tag: LOGIC CHIP
Selected Coefficient: -388674
Taxonomy Path: -20.7.6.1
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? |
|---|---|---|---|---|---|
| -388674 | 4.000000 | -20.7.6.1 | -1.6.7.20 (-(357911 + 6*71^2 + 7*71 + 20)) | Yes | |
| -368220 | 4.000000 | -14.3.2.1 | -1.2.3.14 (-(357911 + 2*71^2 + 3*71 + 14)) | No | |
| -10227 | 4.000000 | -3.2.2 | -2.2.3 (-(2*71^2 + 2*71 + 3)) | No | |
| 0 | 4.000000 | 0 | 0 (0) | No | |
| 10227 | 4.000000 | 3.2.2 | 2.2.3 (2*71^2 + 2*71 + 3) | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | No |
These are the training products that have the "LOGIC CHIP" tag (processing sequence 2542). 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 | 10227 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | MICROPROCESSOR, GIFT, TRANSISTOR, MICROCOMPUTER | 398901 | none | |
| 4244 | Rare 1960s 1.6" Silicon Wafer - Mullard FCH211 NAND/NOR Sextuple Inverter - 39mm | 0 | SILICON WAFER | 388674 | none | ||
| 4155 | ChipScapes Set #3: Computer Logic Chips (3 Ornaments) | -10227 | ORNAMENT, MEMORY | 378447 | none | ||
| 3813 | Early Computer Chips - The Firsts - Logic Chips, SIlicon Wafer, Chip Dies, RTL, ECL, DTL, TTL, CMOS | -368220 | SILICON WAFER, GIFT | 20454 | none | ||
| 4153 | ChipScapes Set #1: Art with Computer Chips (3 Ornaments) | -388674 | MICROPROCESSOR, ORNAMENT, GIFT, MEMORY | 0 | none |