Fold 1 - Understanding why coefficient 6419 was selected
Tag: 51
Selected Coefficient: 6419
Taxonomy Path: 20.2.1
Taxonomy Name: Religious & Ceremonial > Religious Items > Prayer Beads
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? |
|---|---|---|---|---|---|
| 6419 | 1.000000 | 20.2.1 | 1.2.20 (6241 + 2*79 + 20) | Religious & Ceremonial > Religious Items > Prayer Beads | Yes |
| -43984 | 3.000000 | -60.3.7 | -7.3.60 (-(7*79^2 + 3*79 + 60)) | No |
These are the training products that have the "51" tag (processing sequence 319). 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 |
|---|---|---|---|---|---|---|---|
| 14097 | St Dymphna Pocket Rosary, Patron Saint of Stress & Psychological Problems | 6419 | Religious & Ceremonial > Religious Items > Prayer Beads | none | 0 | none | |
| 14107 | Our Lady of Guadalupe Chaplet of 4 Apparitions | 6419 | Religious & Ceremonial > Religious Items > Prayer Beads | none | 0 | none | |
| 14108 | St Agatha Chaplet, Patron Saint of Breast Cancer Prayer Beads | 6419 | Religious & Ceremonial > Religious Items > Prayer Beads | none | 0 | none | |
| 14095 | St Jude Chaplet, Memento Mori & Red Coral Beads | -43984 | GOLD | -50403 | none |