Fold 4 - Understanding why coefficient -6402 was selected
Tag: CIRCUIT BOARD
Selected Coefficient: -6402
Taxonomy Path: -3.2.1
Taxonomy Name:
Products with this tag: 9
Unique residual values tried: 7
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? |
|---|---|---|---|---|---|
| 0 | 7.000000 | 0 | 0 (0) | No | |
| -6402 | 7.000000 | -3.2.1 | -1.2.3 (-(6241 + 2*79 + 3)) | Yes | |
| 119422907 | 8.000000 | 29.17.17.5.3 | 3.5.17.17.29 (3*79^4 + 5*79^3 + 17*79^2 + 17*79 + 29) | No | |
| -5997681 | 8.000000 | -1.1.13.12 | -12.13.1.1 (-(12*79^3 + 13*79^2 + 79 + 1)) | No | |
| 12643 | 8.000000 | 3.2.2 | 2.2.3 (2*79^2 + 2*79 + 3) | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | No |
| 537291 | 8.000000 | 12.7.7.1 | 1.7.7.12 (493039 + 7*79^2 + 7*79 + 12) | No | |
| -505772 | 8.000000 | -14.3.2.1 | -1.2.3.14 (-(493039 + 2*79^2 + 3*79 + 14)) | No |
These are the training products that have the "CIRCUIT BOARD" tag (processing sequence 3248). 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 |
|---|---|---|---|---|---|---|---|
| 4102 | Item039: Computer Circuit Board Pendant - Laptop, Rectangle, Blue and Bronze | 119422907 | PENDANT, ECB, LAPTOP | 119429309 | none | ||
| 4237 | Item021: Memory Circuit Board Pendant - DRAM, RAM, Bronze, Green, Round, Gold | 537291 | PENDANT, ECB, MEMORY | 543693 | none | ||
| 4207 | IBM Pluggable Unit - A Vertical Circuit Board | 12643 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | none | 19045 | Business & Industrial > Construction > Raw Structural Components | none |
| 4162 | Item001: Communication Board Earrings - Nortel, Dangles, Round, Green, Gold | 0 | EARRINGS, GOLD, GIFT, ECB | 6402 | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts | none | |
| 4150 | ChipScapes Set #10: Mixed Types - Silicon Wafer, Computer Circuit Board, Chip Traces (3 Ornaments) | 0 | ORNAMENT, MICROPROCESSOR, GIFT, PENTIUM | 6402 | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts | none | |
| 4158 | ChipScapes Set #6: Computer Circuit Boards (3 Ornaments) | -6402 | ORNAMENT, MEMORY | 0 | none | ||
| 4235 | Item022: Memory Board Earrings - SDRAM, RAM, Dangles, Round, Green, Gold | -6402 | EARRINGS, GOLD, GIFT, ECB, MEMORY | 0 | none | ||
| 4149 | IBM System/360 Processor Card | -505772 | MICROPROCESSOR, GIFT | -499370 | none | ||
| 4167 | Item015 - Computer Board Earrings - Graphics, Dangles, Round, Blue, Gold | -5997681 | EARRINGS, GOLD, GIFT, BLUE, ECB | -5991279 | none |