Fold 3 - Understanding why coefficient 40755 was selected
Tag: 2021 JEWELRY SET
Selected Coefficient: 40755
Taxonomy Path: 1.6.8
Taxonomy Name: Apparel & Accessories > Jewelry > Necklaces
Products with this tag: 14
Unique residual values tried: 7
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? |
|---|---|---|---|---|---|
| 40755 | 9.000000 | 1.6.8 | 8.6.1 (8*71^2 + 6*71 + 1) | Apparel & Accessories > Jewelry > Necklaces | Yes |
| 0 | 10.000198 | 0 | 0 (0) | No | |
| -15123 | 10.000595 | -0.0.3 | -3.0.0 (-(3*71^2)) | No | |
| -2928893 | 11.014085 | -1.1.13.8 | -8.13.1.1 (-(8*71^3 + 13*71^2 + 71 + 1)) | No | |
| -40755 | 11.028169 | -1.6.8 | -8.6.1 (-(8*71^2 + 6*71 + 1)) | No | |
| -3010403 | 13.000000 | -3.13.29.8 | -8.29.13.3 (-(8*71^3 + 29*71^2 + 13*71 + 3)) | No | |
| -2888153 | 13.000000 | -15.66.4.8 | -8.4.66.15 (-(8*71^3 + 4*71^2 + 66*71 + 15)) | No |
These are the training products that have the "2021 JEWELRY SET" tag (processing sequence 275). 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 |
|---|---|---|---|---|---|---|---|
| 9417 | Raw Sapphire Necklace - Sterling Silver | 40755 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | DARK BLUE CRYSTAL, RAW CRYSTAL, WOMENS NECKLACE | |
| 9520 | Raw Ruby Necklace in Sterling Silver | 40755 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | JULY BIRTHSTONE, RAW CRYSTAL | |
| 9519 | Sterling Silver Rainbow Moonstone Necklace | 40755 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 9455 | Sapphire Necklace - Antique Sterling Silver | 40755 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | CHAIN MATERIAL BLACK FLAT LEATHER, DARK BLUE CRYSTAL | |
| 9441 | Rose Gold Rainbow Moonstone Necklace | 40755 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | WOMENS NECKLACE | |
| 9442 | Rose Quartz Charm Necklace - Gold Plated Brass | 0 | CHARM NECKLACE | -40755 | 2ND ANNIVERSARY, AFFORDABLE, CRYSTAL CHARM | ||
| 9443 | Rose Quartz Charm Necklace - Sterling Silver Plated | 0 | CHARM NECKLACE | -40755 | 2ND ANNIVERSARY, AFFORDABLE, CHAIN LENGTH 18" | ||
| 9464 | Sapphire Stud Earrings: 14k Gold Filled | 0 | STUD EARRINGS | -40755 | BACKING MATERIAL 14K GOLD, DARK BLUE CRYSTAL | ||
| 9458 | Raw Sapphire Sterling Silver Pendant | -15123 | PENDANT NECKLACE | -55878 | DARK BLUE CRYSTAL, WOMENS NECKLACE | ||
| 9132 | Rainbow Moonstone Necklace - Sterling Silver Lotus Pendant | -40755 | CHARM NECKLACE, PENDANT NECKLACE | -81510 | CRYSTAL CHARM | ||
| 9416 | Raw Sapphire Necklace in White Gold Plated (Dark Silver) | -2888153 | SILVER, CRYSTAL NECKLACE, WOMEN | -2928908 | DARK BLUE CRYSTAL, RAW CRYSTAL | ||
| 9367 | Iolite Sapphire Stud Earrings | -2928893 | STUD EARRINGS, WOMEN | -2969648 | BACKING MATERIAL 14K GOLD, DARK BLUE CRYSTAL, RAW CRYSTAL | ||
| 9317 | Raw Dark Amethyst Necklace - Silver Wire Wrapped | -2928893 | CRYSTAL NECKLACE, WOMEN | -2969648 | none | ||
| 9353 | Raw Green BC Jade Necklace - Antique Bronze and Gold | -3010403 | GOLD, CRYSTAL NECKLACE, WOMEN, 12TH ANNIVERSARY | -3051158 | 35TH ANNIVERSARY |