Fold 3 - Understanding why coefficient 31680 was selected
Tag: ECB
Selected Coefficient: 31680
Taxonomy Path: 1.6.5
Taxonomy Name: Apparel & Accessories > Jewelry > Charms & Pendants
Products with this tag: 5
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? |
|---|---|---|---|---|---|
| 31680 | 1.000000 | 1.6.5 | 5.6.1 (5*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Charms & Pendants | Yes |
| -37921 | 4.000000 | -1.6.6 | -6.6.1 (-(6*79^2 + 6*79 + 1)) | No |
These are the training products that have the "ECB" tag (processing sequence 1894). 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 |
|---|---|---|---|---|---|---|---|
| 4085 | Item033: Pool Circuit Board Pendant - Silver, Blue, Gold, Summer | 31680 | Apparel & Accessories > Jewelry > Charms & Pendants | none | 0 | PENDANT, COMMUNICATION | |
| 4102 | Item039: Computer Circuit Board Pendant - Laptop, Rectangle, Blue and Bronze | 31680 | Apparel & Accessories > Jewelry > Charms & Pendants | none | 0 | PENDANT, DELL, CIRCUIT BOARD | |
| 4169 | Item029: Computer Circuit Board Pendant - Laptop, Square, Blue and Silver | 31680 | Apparel & Accessories > Jewelry > Charms & Pendants | none | 0 | PENDANT, DELL, CIRCUIT BOARD | |
| 4237 | Item021: Memory Circuit Board Pendant - DRAM, RAM, Bronze, Green, Round, Gold | 31680 | Apparel & Accessories > Jewelry > Charms & Pendants | none | 0 | PENDANT, CIRCUIT BOARD | |
| 4167 | Item015 - Computer Board Earrings - Graphics, Dangles, Round, Blue, Gold | -37921 | EARRINGS, DANGLES | -69601 | CIRCUIT BOARD |