Fold 3 - Understanding why coefficient 6419 was selected
Tag: 12
Selected Coefficient: 6419
Taxonomy Path: 20.2.1
Taxonomy Name: Religious & Ceremonial > Religious Items > Prayer Beads
Products with this tag: 3
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 |
| 2047128 | 2.000000 | 1.1.12.4 | 4.12.1.1 (4*79^3 + 12*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Pants > Jeans | No |
These are the training products that have the "12" tag (processing sequence 2370). 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 |
|---|---|---|---|---|---|---|---|
| 23 | Faded Glory girls New pants blue denim button zips 12 | 2047128 | Apparel & Accessories > Clothing > Pants > Jeans | none | 2040709 | none | |
| 14100 | Large Rosary, Jasper Gemstone Beads, Gold St Benedict Cross | 6419 | Religious & Ceremonial > Religious Items > Prayer Beads | none | 0 | none | |
| 14109 | Greenstone & Paua Shell Rosary, Saint Joseph Center (Nephrite Jade & Abalone) | 6419 | Religious & Ceremonial > Religious Items > Prayer Beads | none | 0 | NEW FEB 2023, FATHERS DAY |