Fold 3 - Understanding why coefficient 6241 was selected
Tag: PINK CRYSTAL
Selected Coefficient: 6241
Taxonomy Path: 0.0.1
Taxonomy Name:
Products with this tag: 7
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? |
|---|---|---|---|---|---|
| 6241 | 5.000000 | 0.0.1 | 1.0.0 (6241) | Yes | |
| -50403 | 5.000160 | -1.6.8 | -8.6.1 (-(8*79^2 + 6*79 + 1)) | No | |
| -31680 | 5.000160 | -1.6.5 | -5.6.1 (-(5*79^2 + 6*79 + 1)) | No | |
| -69601 | 6.000000 | -2.12.11 | -11.12.2 (-(11*79^2 + 12*79 + 2)) | No | |
| 119814878 | 6.000000 | 2.2.1.6.3 | 3.6.1.2.2 (3*79^4 + 6*79^3 + 6241 + 2*79 + 2) | Animals & Pet Supplies > Pet Supplies > Bird Supplies > Bird Toys > Chew Toys | No |
| 119865281 | 6.000000 | 3.8.9.6.3 | 3.6.9.8.3 (3*79^4 + 6*79^3 + 9*79^2 + 8*79 + 3) | No |
These are the training products that have the "PINK CRYSTAL" tag (processing sequence 2307). 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 |
|---|---|---|---|---|---|---|---|
| 9442 | Rose Quartz Charm Necklace - Gold Plated Brass | 119865281 | CHARM NECKLACE, 2021 JEWELRY SET, 2ND ANNIVERSARY, AFFORDABLE, CRYSTAL CHARM | 119859040 | none | ||
| 9443 | Rose Quartz Charm Necklace - Sterling Silver Plated | 119814878 | Animals & Pet Supplies > Pet Supplies > Bird Supplies > Bird Toys > Chew Toys | CHARM NECKLACE, 2021 JEWELRY SET, 2ND ANNIVERSARY, AFFORDABLE | 119808637 | none | |
| 9450 | Ruby Drop Earrings 14k Gold Filled | 6241 | 15TH ANNIVERSARY | 0 | DROP EARRINGS | ||
| 9451 | Ruby Drop Earrings - Sterling Silver | 6241 | 15TH ANNIVERSARY | 0 | DROP EARRINGS | ||
| 9182 | Pink Ruby Pendant 14k Gold Filled | -31680 | 15TH ANNIVERSARY, PENDANTS | -37921 | none | ||
| 9183 | Pink Tourmaline Stud Earrings | -50403 | STUD EARRINGS, 8TH ANNIVERSARY | -56644 | none | ||
| 9181 | Pink Ruby Earrings - 14k Gold Filled Stud Earrings | -69601 | STUD EARRINGS, 15TH ANNIVERSARY, GOLD EARRINGS | -75842 | RED CRYSTAL |