Fold 4 - Understanding why coefficient -3083431 was selected
Tag: LABRADORITE
Selected Coefficient: -3083431
Taxonomy Path: -61.4.20.6
Taxonomy Name:
Products with this tag: 6
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? |
|---|---|---|---|---|---|
| -3083431 | 5.000000 | -61.4.20.6 | -6.20.4.61 (-(6*79^3 + 20*79^2 + 4*79 + 61)) | Yes | |
| -43984 | 5.000000 | -60.3.7 | -7.3.60 (-(7*79^2 + 3*79 + 60)) | No | |
| 0 | 5.000000 | 0 | 0 (0) | No | |
| 6419 | 5.000000 | 20.2.1 | 1.2.20 (6241 + 2*79 + 20) | Religious & Ceremonial > Religious Items > Prayer Beads | No |
| 50403 | 5.000000 | 1.6.8 | 8.6.1 (8*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Necklaces | No |
| 553308601 | 5.000000 | 27.3.19.16.14 | 14.16.19.3.27 (14*79^4 + 16*79^3 + 19*79^2 + 3*79 + 27) | No |
These are the training products that have the "LABRADORITE" tag (processing sequence 3217). 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) | 553308601 | CITRINE, GIFT, ALYCIÆNGEL, AMAZONITE, BETTER TOGETHER, BOHO, COACHELLA, PYRITE, BRACELET, MOONSTONE, CHARM | 556392032 | SMOKY QUARTZ | ||
| 9354 | Labradorite Stud Earrings | 50403 | Apparel & Accessories > Jewelry > Necklaces | STUD EARRINGS, CRYSTAL EARRINGS | 3133834 | none | |
| 12075 | Grounded Mama Mala - Sandalwood Version | 6419 | Religious & Ceremonial > Religious Items > Prayer Beads | none | 3089850 | SMOKY QUARTZ | |
| 12079 | Manifesting Mama Mala | 0 | CLEAR QUARTZ | 3083431 | none | ||
| 12059 | Infinite Mama Mala - Sandalwood Version | -43984 | RAINBOW MOONSTONE | 3039447 | Apparel & Accessories > Clothing > Clothing Tops > Polos | none | |
| 12043 | Infinite Mama Mala - Gemstone Version | -3083431 | RAINBOW MOONSTONE, FALL | 0 | none |