Fold 3 - Understanding why coefficient -12643 was selected
Tag: LOGIC CHIP
Selected Coefficient: -12643
Taxonomy Path: -3.2.2
Taxonomy Name:
Products with this tag: 5
Unique residual values tried: 4
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? |
|---|---|---|---|---|---|
| -12643 | 3.000000 | -3.2.2 | -2.2.3 (-(2*79^2 + 2*79 + 3)) | Yes | |
| -5997681 | 4.000000 | -1.1.13.12 | -12.13.1.1 (-(12*79^3 + 13*79^2 + 79 + 1)) | No | |
| 0 | 4.000000 | 0 | 0 (0) | No | |
| 18884 | 4.000000 | 3.2.3 | 3.2.3 (3*79^2 + 2*79 + 3) | No |
These are the training products that have the "LOGIC CHIP" tag (processing sequence 3328). 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 |
|---|---|---|---|---|---|---|---|
| 4155 | ChipScapes Set #3: Computer Logic Chips (3 Ornaments) | 18884 | ORNAMENT, MOTOROLA, SIGNETICS | 31527 | none | ||
| 4244 | Rare 1960s 1.6" Silicon Wafer - Mullard FCH211 NAND/NOR Sextuple Inverter - 39mm | 0 | TEACHING | 12643 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | none | |
| 4153 | ChipScapes Set #1: Art with Computer Chips (3 Ornaments) | -12643 | ORNAMENT, MICROPROCESSOR | 0 | none | ||
| 4182 | Decades of Technology - Relays to Microcomputers | -12643 | MICROPROCESSOR, MICROCOMPUTER, TEACHING, TRANSISTOR | 0 | none | ||
| 3891 | Item004: Computer Chip Earrings - Logic Chip, Dangles, Round, Blue, Silver, TRW | -5997681 | EARRINGS, BLUE | -5985038 | DANGLES |