Fold 3 - Understanding why coefficient 25439 was selected
Tag: SPECIAL
Selected Coefficient: 25439
Taxonomy Path: 1.6.4
Taxonomy Name: Apparel & Accessories > Jewelry > Brooches & Lapel Pins
Products with this tag: 4
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 | 1.000000 | 1.6.4 | 4.6.1 (4*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Brooches & Lapel Pins | Yes |
| 8887424 | 3.000000 | 3.3.2.18 | 18.2.3.3 (18*79^3 + 2*79^2 + 3*79 + 3) | Arts & Entertainment > Party & Celebration > Party Supplies > Party Favors | No |
These are the training products that have the "SPECIAL" tag (processing sequence 2347). 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 |
|---|---|---|---|---|---|---|---|
| 19310 | Pretty Lights NYE Pin (Vintage 2010) | 8887424 | Arts & Entertainment > Party & Celebration > Party Supplies > Party Favors | none | 8861985 | none | |
| 11681 | Grateful Totem Pin (Antique Gold, Vintage 2013) | 25439 | Apparel & Accessories > Jewelry > Brooches & Lapel Pins | none | 0 | none | |
| 13622 | Grateful Totem Pin (Antique Silver, Vintage 2013) | 25439 | Apparel & Accessories > Jewelry > Brooches & Lapel Pins | none | 0 | none | |
| 18119 | Groovy pin | 25439 | Apparel & Accessories > Jewelry > Brooches & Lapel Pins | none | 0 | none |