Fold 3 - Understanding why coefficient -3813502 was selected
Tag: CIRCUIT BOARD
Selected Coefficient: -3813502
Taxonomy Path: -14.3.58.7
Taxonomy Name:
Products with this tag: 8
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? |
|---|---|---|---|---|---|
| -3813502 | 6.000000 | -14.3.58.7 | -7.58.3.14 (-(7*79^3 + 58*79^2 + 3*79 + 14)) | Yes | |
| -32162 | 6.000000 | -9.12.5 | -5.12.9 (-(5*79^2 + 12*79 + 9)) | No | |
| 0 | 6.000000 | 0 | 0 (0) | No | |
| -69601 | 7.000000 | -2.12.11 | -11.12.2 (-(11*79^2 + 12*79 + 2)) | No | |
| -31680 | 7.000000 | -1.6.5 | -5.6.1 (-(5*79^2 + 6*79 + 1)) | No |
These are the training products that have the "CIRCUIT BOARD" tag (processing sequence 3813). 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 |
|---|---|---|---|---|---|---|---|
| 4149 | IBM System/360 Processor Card | 0 | FIRST OF A KIND | 3813502 | Home & Garden > Decor > Seasonal & Holiday Decorations > Holiday Ornaments | none | |
| 4150 | ChipScapes Set #10: Mixed Types - Silicon Wafer, Computer Circuit Board, Chip Traces (3 Ornaments) | 0 | ORNAMENT | 3813502 | Home & Garden > Decor > Seasonal & Holiday Decorations > Holiday Ornaments | none | |
| 4237 | Item021: Memory Circuit Board Pendant - DRAM, RAM, Bronze, Green, Round, Gold | -31680 | ECB, PENDANT | 3781822 | none | ||
| 4102 | Item039: Computer Circuit Board Pendant - Laptop, Rectangle, Blue and Bronze | -32162 | ECB, PENDANT, DELL | 3781340 | none | ||
| 4169 | Item029: Computer Circuit Board Pendant - Laptop, Square, Blue and Silver | -32162 | ECB, PENDANT, DELL | 3781340 | none | ||
| 4167 | Item015 - Computer Board Earrings - Graphics, Dangles, Round, Blue, Gold | -69601 | EARRINGS, DANGLES, ECB | 3743901 | none | ||
| 4157 | ChipScapes Set #5: Computer Circuit Boards with Chips (3 Ornaments) | -3813502 | LOGIC, ORNAMENT | 0 | none | ||
| 4158 | ChipScapes Set #6: Computer Circuit Boards (3 Ornaments) | -3813502 | LOGIC, ORNAMENT | 0 | none |