Fold 0 - Understanding why coefficient 62500 was selected
Tag: RING
Selected Coefficient: 62500
Taxonomy Path: 1.6.9
Taxonomy Name:
Products with this tag: 24
Unique residual values tried: 3
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? |
|---|---|---|---|---|---|
| 62500 | 1.000005 | 1.6.9 | 9.6.1 (9*83^2 + 6*83 + 1) | Yes | |
| 634287 | 1.000035 | 1.6.9.1 | 1.9.6.1 (571787 + 9*83^2 + 6*83 + 1) | No | |
| 340 | 23.000000 | 8.4 | 4.8 (4*83 + 8) | Electronics > Communications | No |
These are the training products that have the "RING" tag (processing sequence 2513). 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 |
|---|---|---|---|---|---|---|---|
| 22297 | Small Irish Friendship & Love Band Celtic Claddagh Ring in Sterling Silver, Sizes 6, 7, 8, and 9, #2602 | 634287 | none | 571787 | DISCONTINUED | ||
| 20734 | Taylor Pink Shell Clover Ring | 634287 | none | 571787 | none | ||
| 20950 | Diamond Disc Ring | 634287 | none | 571787 | none | ||
| 12370 | Diva Chain Ring | 62500 | none | 0 | none | ||
| 13723 | Flat Band Ring (Silver) | 62500 | none | 0 | none | ||
| 13785 | Diamond Ring with Teal Topaz in Wedeln Design in 18ct Yellow Gold | 62500 | none | 0 | 18CT GOLD, GSTAAD COLLECTION | ||
| 13796 | The Colours Of Summer Ring | 62500 | none | 0 | none | ||
| 13797 | The Colours Of Summer Ring | 62500 | none | 0 | none | ||
| 13799 | The Colours of Summer Ring | 62500 | none | 0 | 18CT GOLD | ||
| 13800 | Purple Amethyst & Agate Ring | 62500 | none | 0 | none | ||
| 13802 | White Topaz & Purple Amethyst Ring | 62500 | none | 0 | none | ||
| 13814 | Agate & Diamond Ring | 62500 | none | 0 | none | ||
| 13816 | Citrine & Diamond Ring | 62500 | none | 0 | none | ||
| 13817 | Blue Topaz & Diamond Ring | 62500 | none | 0 | none | ||
| 13871 | Silver Filigree Ring in White Topaz & Blue Topaz | 62500 | none | 0 | none | ||
| 13890 | Octagon Gold Ring in Smoky Quartz & Citrine | 62500 | none | 0 | none | ||
| 14369 | Forever Stacking Ring (Silver) | 62500 | none | 0 | none | ||
| 15063 | Karma Ring | 62500 | none | 0 | none | ||
| 20688 | Diamond Heart Ring | 62500 | none | 0 | none | ||
| 24463 | T RING STERLING SILVER | 62500 | none | 0 | none | ||
| 9731 | Braided Ring | 62500 | none | 0 | none | ||
| 12315 | Classic Jewel Ring - Citrine | 62500 | none | 0 | none | ||
| 9143 | University of Tennessee | UT | Tungsten Ring Band | Black and Silver | 8MM | 62500 | none | 0 | none | ||
| 16745 | NEW Ring Alarm 8-piece kit (2nd Gen) – home security system – Works with Alexa 842861111262 [New] | 340 | Electronics > Communications | none | -62160 | none |