Fold 4 - Understanding why coefficient 40755 was selected
Tag: CRYSTAL NECKLACE
Selected Coefficient: 40755
Taxonomy Path: 1.6.8
Taxonomy Name: Apparel & Accessories > Jewelry > Necklaces
Products with this tag: 11
Unique residual values tried: 4
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 | 5.000000 | 1.6.8 | 8.6.1 (8*71^2 + 6*71 + 1) | Apparel & Accessories > Jewelry > Necklaces | Yes |
| -15123 | 6.000595 | -0.0.3 | -3.0.0 (-(3*71^2)) | No | |
| 10082 | 6.000595 | 0.0.2 | 2.0.0 (2*71^2) | No | |
| 15123 | 6.000793 | 0.0.3 | 3.0.0 (3*71^2) | No |
These are the training products that have the "CRYSTAL NECKLACE" tag (processing sequence 170). 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 |
|---|---|---|---|---|---|---|---|
| 8892 | Black Tourmaline Mala Necklace | 40755 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | BLACK CRYSTAL | |
| 9026 | Raw Citrine Pendant Necklace - Sterling Silver with Chain | 40755 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 9039 | Raw Carnelian Necklace -Wire Wrapped Healing Crystal Pendant | 40755 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 9276 | Raw Bloodstone Necklace - Pendant - White Gold Plated Brass | 40755 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 9317 | Raw Dark Amethyst Necklace - Silver Wire Wrapped | 40755 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 9352 | Raw Garnet Pendant - Necklace | 40755 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 9518 | Herkimer Diamond Necklace - Add a Sterling Silver Chain | 15123 | PENDANT | -25632 | 10TH ANNIVERSARY, ADD A STERLING SILVER CHAIN? 16 INCH CHAIN, MENS GIFT | ||
| 9353 | Raw Green BC Jade Necklace - Antique Bronze and Gold | 10082 | GOLD | -30673 | 12TH ANNIVERSARY | ||
| 9484 | Silver Black Onyx Necklace | 10082 | GOLD | -30673 | 10TH ANNIVERSARY | ||
| 9416 | Raw Sapphire Necklace in White Gold Plated (Dark Silver) | -15123 | SILVER | -55878 | none | ||
| 9418 | Red Tigers Eye Crystal Necklace - Antique Bronze and Silver | -15123 | SILVER | -55878 | CHAIN MATERIAL ANTIQUE BRONZE |