Fold 1 - Understanding why coefficient -37921 was selected
Tag: CIRCUIT BOARD
Selected Coefficient: -37921
Taxonomy Path: -1.6.6
Taxonomy Name:
Products with this tag: 9
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? |
|---|---|---|---|---|---|
| -37921 | 6.000000 | -1.6.6 | -6.6.1 (-(6*79^2 + 6*79 + 1)) | Yes | |
| -482 | 7.000000 | -8.6 | -6.8 (-(6*79 + 8)) | No | |
| 0 | 7.000000 | 0 | 0 (0) | No | |
| -3813502 | 8.000000 | -14.3.58.7 | -7.58.3.14 (-(7*79^3 + 58*79^2 + 3*79 + 14)) | No | |
| 12643 | 8.000000 | 3.2.2 | 2.2.3 (2*79^2 + 2*79 + 3) | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | No |
These are the training products that have the "CIRCUIT BOARD" tag (processing sequence 3893). 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 |
|---|---|---|---|---|---|---|---|
| 4207 | IBM Pluggable Unit - A Vertical Circuit Board | 12643 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | none | 50564 | none | |
| 4149 | IBM System/360 Processor Card | 0 | FIRST OF A KIND | 37921 | Apparel & Accessories > Jewelry > Earrings | none | |
| 4237 | Item021: Memory Circuit Board Pendant - DRAM, RAM, Bronze, Green, Round, Gold | 0 | PENDANT | 37921 | Apparel & Accessories > Jewelry > Earrings | none | |
| 4102 | Item039: Computer Circuit Board Pendant - Laptop, Rectangle, Blue and Bronze | -482 | PENDANT, DELL | 37439 | none | ||
| 4169 | Item029: Computer Circuit Board Pendant - Laptop, Square, Blue and Silver | -482 | PENDANT, DELL | 37439 | none | ||
| 4162 | Item001: Communication Board Earrings - Nortel, Dangles, Round, Green, Gold | -37921 | EARRINGS, DANGLES | 0 | none | ||
| 4235 | Item022: Memory Board Earrings - SDRAM, RAM, Dangles, Round, Green, Gold | -37921 | EARRINGS, DANGLES | 0 | none | ||
| 4167 | Item015 - Computer Board Earrings - Graphics, Dangles, Round, Blue, Gold | -37921 | EARRINGS, DANGLES | 0 | none | ||
| 4157 | ChipScapes Set #5: Computer Circuit Boards with Chips (3 Ornaments) | -3813502 | LOGIC, ORNAMENT | -3775581 | none |