Fold 2 - Understanding why coefficient 31680 was selected
Tag: EMERALD
Selected Coefficient: 31680
Taxonomy Path: 1.6.5
Taxonomy Name: Apparel & Accessories > Jewelry > Charms & Pendants
Products with this tag: 5
Unique residual values tried: 5
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? |
|---|---|---|---|---|---|
| 31680 | 2.012818 | 1.6.5 | 5.6.1 (5*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Charms & Pendants | Yes |
| 50403 | 2.012818 | 1.6.8 | 8.6.1 (8*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Necklaces | No |
| 4025525 | 2.025316 | 1.1.13.8 | 8.13.1.1 (8*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | No |
| 0 | 4.000000 | 0 | 0 (0) | No | |
| 5 | 4.000000 | 5 | 5 (5) | Bundles | No |
These are the training products that have the "EMERALD" tag (processing sequence 131). 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 |
|---|---|---|---|---|---|---|---|
| 6160 | Casey Linen Top - Emerald | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 3993845 | none | |
| 9319 | Raw Emerald Necklace - 14K Gold-Filled | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | 18723 | 1ST ANNIVERSARY, 20TH ANNIVERSARY, 50TH ANNIVERSARY, 55TH ANNIVERSARY, GREEN CRYSTAL | |
| 9320 | Raw Emerald Pendant - Sterling Silver | 31680 | Apparel & Accessories > Jewelry > Charms & Pendants | none | 0 | 20TH ANNIVERSARY, 55TH ANNIVERSARY, GREEN CRYSTAL | |
| 9015 | Raw Emerald Crystals - Bundle Bags | 5 | Bundles | none | -31675 | 20TH ANNIVERSARY, 55TH ANNIVERSARY, BUNDLES, GREEN CRYSTAL, RAW | |
| 13863 | Birthstone Halo Earrings - Emerald | 0 | STUD EARRINGS | -31680 | none |