Fold 0 - Understanding why coefficient 178 was selected
Tag: CATHOLIC EARRINGS
Selected Coefficient: 178
Taxonomy Path: 20.2
Taxonomy Name: Religious & Ceremonial > Religious Items
Products with this tag: 3
Unique residual values tried: 3
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? |
|---|---|---|---|---|---|
| 178 | 1.000160 | 20.2 | 2.20 (2*79 + 20) | Religious & Ceremonial > Religious Items | Yes |
| 6419 | 1.000160 | 20.2.1 | 1.2.20 (6241 + 2*79 + 20) | Religious & Ceremonial > Religious Items > Prayer Beads | No |
| 37921 | 2.000000 | 1.6.6 | 6.6.1 (6*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Earrings | No |
These are the training products that have the "CATHOLIC EARRINGS" tag (processing sequence 941). 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 |
|---|---|---|---|---|---|---|---|
| 14098 | Memento Mori & White Flower Silver Earrings | 37921 | Apparel & Accessories > Jewelry > Earrings | none | 37743 | none | |
| 14102 | Blue Flower Silver Drop Earrings with Virgin Mary Beads | 6419 | Religious & Ceremonial > Religious Items > Prayer Beads | none | 6241 | none | |
| 14094 | Michael the Archangel Cross Earrings | 178 | Religious & Ceremonial > Religious Items | none | 0 | none |