Fold 1 - Understanding why coefficient 12643 was selected
Tag: COMMUNICATION WAFER
Selected Coefficient: 12643
Taxonomy Path: 3.2.2
Taxonomy Name: Arts & Entertainment > Hobbies & Creative Arts > Collectibles
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 | 1.000320 | 3.2.2 | 2.2.3 (2*79^2 + 2*79 + 3) | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | Yes |
| 6402 | 1.000481 | 3.2.1 | 1.2.3 (6241 + 2*79 + 3) | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts | No |
| 18884 | 1.000481 | 3.2.3 | 3.2.3 (3*79^2 + 2*79 + 3) | No | |
| -24883 | 4.000000 | -77.77.3 | -3.77.77 (-(3*79^2 + 77*79 + 77)) | No |
These are the training products that have the "COMMUNICATION WAFER" tag (processing sequence 1076). 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 |
|---|---|---|---|---|---|---|---|
| 4180 | Silicon Wafer with Communication Chips - 6 inch, Ethernet | 18884 | 150MM | 6241 | none | ||
| 4246 | Rockwell T-1 Communication Chip Silicon Wafer - R8070, Transceiver, 4", 100mm | 12643 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | none | 0 | none | |
| 4247 | Rockwell T-1 Communication Chip Silicon Wafers - R8050, R8060, 4", 100mm | 12643 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | none | 0 | none | |
| 4265 | Silicon Wafer with Computer Chips - 5 inch, SCSI Terminators | 6402 | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts | none | -6241 | none | |
| 4188 | Rare Collection of Four 6502 Family Silicon Wafers - 6502 CPU, 6521 PIA, 6549 CVDG, 6551 ACIA/UART - 4",MOS,Rockwell | -24883 | MICROPROCESSOR, MEMORY | -37526 | none |