Fold 3 - Understanding why coefficient 21166 was selected
Tag: ELEGANCE
Selected Coefficient: 21166
Taxonomy Path: 1.6.3
Taxonomy Name:
Products with this tag: 27
Unique residual values tried: 11
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? |
|---|---|---|---|---|---|
| 55611 | 18.000871 | 1.6.8 | 8.6.1 (8*83^2 + 6*83 + 1) | No | |
| 21166 | 18.000871 | 1.6.3 | 3.6.1 (3*83^2 + 6*83 + 1) | Yes | |
| 41833 | 18.001016 | 1.6.6 | 6.6.1 (6*83^2 + 6*83 + 1) | No | |
| 62500 | 18.001161 | 1.6.9 | 9.6.1 (9*83^2 + 6*83 + 1) | No | |
| 0 | 20.000145 | 0 | 0 (0) | No | |
| -34445 | 20.000871 | -0.0.5 | -5.0.0 (-(5*83^2)) | No | |
| -55611 | 21.000145 | -1.6.8 | -8.6.1 (-(8*83^2 + 6*83 + 1)) | No | |
| -90056 | 21.000726 | -1.6.13 | -13.6.1 (-(13*83^2 + 6*83 + 1)) | No | |
| -111222 | 23.000145 | -2.12.16 | -16.12.2 (-(16*83^2 + 12*83 + 2)) | No | |
| -83666 | 23.000435 | -2.12.12 | -12.12.2 (-(12*83^2 + 12*83 + 2)) | No | |
| -139277 | 26.000000 | -3.18.20 | -20.18.3 (-(20*83^2 + 18*83 + 3)) | No |
These are the training products that have the "ELEGANCE" tag (processing sequence 5497). 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 |
|---|---|---|---|---|---|---|---|
| 20633 | Cosmic Ring | 62500 | none | 41334 | none | ||
| 19302 | Wisteria Necklace | 55611 | FRESHWATER PEARLS, FEARLESS | 34445 | none | ||
| 20724 | Petite Necklace | 55611 | none | 34445 | MALEFICENT | ||
| 20643 | Gossamer Necklace | 55611 | none | 34445 | MALEFICENT | ||
| 8881 | Cascade Drop Earrings | 41833 | none | 20667 | none | ||
| 20697 | Pool Earrings | 41833 | none | 20667 | none | ||
| 20710 | Drift Bracelet | 21166 | FRESHWATER PEARLS, FEARLESS | 0 | none | ||
| 20667 | Pool Bracelet | 21166 | none | 0 | none | ||
| 20684 | Wind Wave Bracelet | 21166 | none | 0 | none | ||
| 20715 | Capri Necklace | 0 | BESTSELLERS | -21166 | none | ||
| 20703 | Pixie Necklace | 0 | FRESHWATER PEARLS | -21166 | none | ||
| 20669 | Ethereal Earrings | 0 | DANGLES, FRESHWATER PEARLS, FEARLESS | -21166 | none | ||
| 20661 | Marquise Necklace | 0 | GARNETS, FRESHWATER PEARLS, FEARLESS | -21166 | BLUE TOPAZ | ||
| 20695 | Simplicity Necklace | 0 | FRESHWATER PEARLS | -21166 | none | ||
| 20632 | 14K Gold Simplicity Necklace | 0 | FRESHWATER PEARLS | -21166 | none | ||
| 20650 | Ocean Bracelet | -34445 | BESTSELLERS | -55611 | none | ||
| 20694 | Fearless Earrings | -55611 | DANGLES, FRESHWATER PEARLS, FEARLESS, BESTSELLERS | -76777 | none | ||
| 19316 | Charisma Necklace | -55611 | TOURMALINE, FRESHWATER PEARLS | -76777 | none | ||
| 20696 | Bloom Necklace | -55611 | GARNETS, FRESHWATER PEARLS, FEARLESS, BESTSELLERS | -76777 | PERIDOTS | ||
| 19314 | Small Glimmer Earrings | -55611 | POSTS, BESTSELLERS | -76777 | none | ||
| 20711 | Glimmer Earrings | -55611 | POSTS, BESTSELLERS | -76777 | none | ||
| 20662 | Navette Earrings | -83666 | HOOPS, POSTS, DANGLES, AQUAMARINE, GARNETS, FRESHWATER PEARLS, FEARLESS | -104832 | BLUE TOPAZ | ||
| 20651 | Drift Bracelet with assorted stones | -90056 | GARNETS, FRESHWATER PEARLS, FEARLESS, BESTSELLERS | -111222 | PERIDOTS | ||
| 20704 | Pixie Earrings | -111222 | POSTS, FRESHWATER PEARLS, BESTSELLERS | -132388 | none | ||
| 20642 | Enchanted Earrings | -111222 | EARRINGS, FRESHWATER PEARLS, BESTSELLERS | -132388 | none | ||
| 20700 | Appeal Earrings | -111222 | DANGLES, TOURMALINE, BESTSELLERS | -132388 | none | ||
| 19323 | Mini Earrings | -139277 | HOOPS, POSTS, DANGLES, FRESHWATER PEARLS | -160443 | none |