Fold 3 - Understanding why coefficient -5186 was selected
Tag: TELEPHONE
Selected Coefficient: -5186
Taxonomy Path: -3.2.1
Taxonomy Name:
Products with this tag: 4
Unique residual values tried: 2
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? |
|---|---|---|---|---|---|
| -5186 | 1.000000 | -3.2.1 | -1.2.3 (-(5041 + 2*71 + 3)) | Yes | |
| 20454 | 3.000000 | 6.4.4 | 4.4.6 (4*71^2 + 4*71 + 6) | No |
These are the training products that have the "TELEPHONE" tag (processing sequence 135). 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 |
|---|---|---|---|---|---|---|---|
| 4152 | ChipScapes Set #12: Art with Chips, Series 2 (3 Ornaments) | 20454 | MICROPROCESSOR, ORNAMENT, MICROCOMPUTER | 25640 | CHRISTMAS | ||
| 4088 | Item037: Fiber Optic Communication Board Earrings - Red, Gold, & Silver | -5186 | EARRINGS, SILICON WAFER | 0 | none | ||
| 4250 | Item027: Silicon Wafer Communication Chip Earrings - Silver & Rainbow Colors, AMI | -5186 | EARRINGS, SILICON WAFER | 0 | none | ||
| 4258 | Item026: Silicon Wafer Telephone Circuit Pendant - Silver & Rainbow Colors, AMI | -5186 | PENDANT, SILICON WAFER | 0 | RAM |