Fold 3 - Understanding why coefficient 25439 was selected
Tag: FIRE
Selected Coefficient: 25439
Taxonomy Path: 1.6.4
Taxonomy Name: Apparel & Accessories > Jewelry > Brooches & Lapel Pins
Products with this tag: 2
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? |
|---|---|---|---|---|---|
| 25439 | 0.000160 | 1.6.4 | 4.6.1 (4*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Brooches & Lapel Pins | Yes |
| 31680 | 0.000160 | 1.6.5 | 5.6.1 (5*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Charms & Pendants | No |
These are the training products that have the "FIRE" tag (processing sequence 3182). 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 |
|---|---|---|---|---|---|---|---|
| 4117 | Item043: Silicon Wafer Computer Chip Pendant - Purple & Fire | 31680 | Apparel & Accessories > Jewelry > Charms & Pendants | none | 6241 | none | |
| 4131 | Item053: Silicon Wafer Computer Chip Tie Tack - Purple & Fire - Tie Clip, Tie Pin | 25439 | Apparel & Accessories > Jewelry > Brooches & Lapel Pins | none | 0 | none |