Fold 3 - Understanding why coefficient -37921 was selected
Tag: TURQUOISE
Selected Coefficient: -37921
Taxonomy Path: -1.6.6
Taxonomy Name:
Products with this tag: 8
Unique residual values tried: 6
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? |
|---|---|---|---|---|---|
| -37921 | 5.000160 | -1.6.6 | -6.6.1 (-(6*79^2 + 6*79 + 1)) | Yes | |
| -19198 | 5.000320 | -1.6.3 | -3.6.1 (-(3*79^2 + 6*79 + 1)) | No | |
| 0 | 6.000000 | 0 | 0 (0) | No | |
| -3944001 | 7.000000 | -5.75.78.7 | -7.78.75.5 (-(7*79^3 + 78*79^2 + 75*79 + 5)) | No | |
| -50878 | 7.000000 | -2.12.8 | -8.12.2 (-(8*79^2 + 12*79 + 2)) | No | |
| 6419 | 7.000000 | 20.2.1 | 1.2.20 (6241 + 2*79 + 20) | Religious & Ceremonial > Religious Items > Prayer Beads | No |
These are the training products that have the "TURQUOISE" tag (processing sequence 3270). 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 |
|---|---|---|---|---|---|---|---|
| 12085 | Playful Mama Mala | 6419 | Religious & Ceremonial > Religious Items > Prayer Beads | none | 44340 | none | |
| 12076 | Confident Mama Mala | 0 | CROWN CHAKRA | 37921 | Apparel & Accessories > Jewelry > Earrings | none | |
| 12073 | Radiant Mama Mala | 0 | AMAZONITE | 37921 | Apparel & Accessories > Jewelry > Earrings | none | |
| 9562 | Turquoise Charm Necklace - Antiqued Sterling Silver | -19198 | CHARM NECKLACE, 11TH ANNIVERSARY | 18723 | none | ||
| 9565 | Raw Turquoise - Leather Bracelet | -37921 | 11TH ANNIVERSARY, GREEN CRYSTAL | 0 | none | ||
| 9564 | Turquoise Drop Earrings - 14k Gold Filled Metal | -37921 | 11TH ANNIVERSARY, 1ST ANNIVERSARY, GOLD EARRINGS | 0 | DROP EARRINGS | ||
| 9563 | Turquoise Charm Necklace - Antiqued Sterling Silver - Brown Leather | -50878 | 11TH ANNIVERSARY, CHARM NECKLACES, GREEN CRYSTAL | -12957 | none | ||
| 982 | Merida Necklace | -3944001 | TEAL | -3906080 | none |