Fold 0 - Understanding why coefficient -31680 was selected
Tag: RAW STONE ELEGANCE
Selected Coefficient: -31680
Taxonomy Path: -1.6.5
Taxonomy Name:
Products with this tag: 11
Unique residual values tried: 9
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 | 6.000481 | -1.6.5 | -5.6.1 (-(5*79^2 + 6*79 + 1)) | Yes | |
| -44162 | 6.000641 | -1.6.7 | -7.6.1 (-(7*79^2 + 6*79 + 1)) | No | |
| -37921 | 6.000641 | -1.6.6 | -6.6.1 (-(6*79^2 + 6*79 + 1)) | No | |
| -50403 | 6.000641 | -1.6.8 | -8.6.1 (-(8*79^2 + 6*79 + 1)) | No | |
| 6241 | 8.000160 | 0.0.1 | 1.0.0 (6241) | No | |
| 0 | 8.000320 | 0 | 0 (0) | No | |
| 56644 | 9.000160 | 1.6.9 | 9.6.1 (9*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Rings | No |
| 37921 | 9.000160 | 1.6.6 | 6.6.1 (6*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Earrings | No |
| 119814878 | 10.000000 | 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 |
These are the training products that have the "RAW STONE ELEGANCE" tag (processing sequence 2412). 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 |
|---|---|---|---|---|---|---|---|
| 9443 | Rose Quartz Charm Necklace - Sterling Silver Plated | 119814878 | Animals & Pet Supplies > Pet Supplies > Bird Supplies > Bird Toys > Chew Toys | CHARM NECKLACE, AFFORDABLE | 119846558 | RSE | |
| 9464 | Sapphire Stud Earrings: 14k Gold Filled | 56644 | Apparel & Accessories > Jewelry > Rings | STUD EARRINGS, 14K GOLD-FILLED, HUGGIE EARRINGS | 88324 | RSE | |
| 9133 | Rainbow Moonstone Stud Earrings | 37921 | Apparel & Accessories > Jewelry > Earrings | STUD EARRINGS, RAINBOW MOONSTONE, HUGGIE EARRINGS, JUNE BIRTHSTONE | 69601 | RSE | |
| 9204 | Rainbow Moonstone in Sterling Silver - Adjustable Ring | 6241 | RAINBOW MOONSTONE | 37921 | Apparel & Accessories > Jewelry > Earrings | RSE | |
| 9617 | Women's Herkimer Diamond 14k Gold-Filled Adjustable Ring | 6241 | GOLD | 37921 | Apparel & Accessories > Jewelry > Earrings | RINGS, RSE | |
| 9458 | Raw Sapphire Sterling Silver Pendant | 0 | PENDANT NECKLACE, ADD A STERLING SILVER CHAIN? 16 INCH CHAIN | 31680 | Apparel & Accessories > Jewelry > Charms & Pendants | RSE | |
| 9203 | Rainbow Moonstone Drop Earrings - 14k Gold Filled | -31680 | RAINBOW MOONSTONE, 14K GOLD-FILLED, GOLD EARRINGS | 0 | RSE | ||
| 9564 | Turquoise Drop Earrings - 14k Gold Filled Metal | -31680 | 11TH ANNIVERSARY, 14K GOLD-FILLED, 1ST ANNIVERSARY, 5TH ANNIVERSARY, GOLD EARRINGS | 0 | RSE, DROP EARRINGS | ||
| 9181 | Pink Ruby Earrings - 14k Gold Filled Stud Earrings | -37921 | STUD EARRINGS, GOLD EARRINGS, HUGGIE EARRINGS, PINK RUBY | -6241 | RSE | ||
| 9202 | Rainbow Moonstone - Adjustable Ring 14k Gold | -44162 | RAINBOW MOONSTONE, 1ST ANNIVERSARY | -12482 | RSE | ||
| 9485 | Amethyst Sterling Silver Plated Charm Necklace | -50403 | CHARM NECKLACE, 6TH ANNIVERSARY | -18723 | RSE |