Fold 4 - Understanding why coefficient -37921 was selected
Tag: SMOKY QUARTZ
Selected Coefficient: -37921
Taxonomy Path: -1.6.6
Taxonomy Name:
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? |
|---|---|---|---|---|---|
| -37921 | 4.000000 | -1.6.6 | -6.6.1 (-(6*79^2 + 6*79 + 1)) | Yes | |
| 0 | 4.000000 | 0 | 0 (0) | No | |
| 12838 | 4.000000 | 40.4.2 | 2.4.40 (2*79^2 + 4*79 + 40) | No | |
| 3089850 | 4.000000 | 2.7.21.6 | 6.21.7.2 (6*79^3 + 21*79^2 + 7*79 + 2) | No | |
| 556392032 | 4.000000 | 9.8.39.22.14 | 14.22.39.8.9 (14*79^4 + 22*79^3 + 39*79^2 + 8*79 + 9) | No |
These are the training products that have the "SMOKY QUARTZ" tag (processing sequence 3244). 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 |
|---|---|---|---|---|---|---|---|
| 270 | Intention Bracelet (Small) | 556392032 | CITRINE, GIFT, ALYCIÆNGEL, AMAZONITE, BETTER TOGETHER, BOHO, COACHELLA, PYRITE, BRACELET, MOONSTONE, CHARM, LABRADORITE | 556429953 | none | ||
| 12075 | Grounded Mama Mala - Sandalwood Version | 3089850 | LABRADORITE | 3127771 | none | ||
| 12084 | Beloved Mama Mala | 12838 | MOONSTONE | 50759 | none | ||
| 12074 | Open Heart Mama Mala | 0 | CLEAR QUARTZ | 37921 | Apparel & Accessories > Jewelry > Earrings | none | |
| 13883 | Octagon Gold Pendant in Smoky Quartz & Citrine | -37921 | NECKLACE, CITRINE, THE ANDALUSIAN COLLECTION | 0 | none |