Fold 3 - Understanding why coefficient 40755 was selected
Tag: NECKLACE
Selected Coefficient: 40755
Taxonomy Path: 1.6.8
Taxonomy Name: Apparel & Accessories > Jewelry > Necklaces
Products with this tag: 21
Unique residual values tried: 6
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 | 11.000000 | 1.6.8 | 8.6.1 (8*71^2 + 6*71 + 1) | Apparel & Accessories > Jewelry > Necklaces | Yes |
| 0 | 11.028566 | 0 | 0 (0) | No | |
| 15123 | 11.029359 | 0.0.3 | 3.0.0 (3*71^2) | No | |
| -4319782 | 11.112679 | -0.66.4.12 | -12.4.66.0 (-(12*71^3 + 4*71^2 + 66*71)) | No | |
| -2888138 | 11.112679 | -0.66.4.8 | -8.4.66.0 (-(8*71^3 + 4*71^2 + 66*71)) | No | |
| -2928893 | 20.000000 | -1.1.13.8 | -8.13.1.1 (-(8*71^3 + 13*71^2 + 71 + 1)) | No |
These are the training products that have the "NECKLACE" tag (processing sequence 33). 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 |
|---|---|---|---|---|---|---|---|
| 250 | Charmed Mandala Necklace | 40755 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 257 | Faceted Citrine Drop Necklace | 40755 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | ADJUSTABLE | |
| 640 | DIAMOND STARBURST EYE NECKLACE | 40755 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 5829 | Paper Heart Necklace (Silver) | 40755 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 6345 | Eternity Diamond Necklace | 40755 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 7649 | Atlantis Necklace - Kyanite | 40755 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 7829 | Aurora Necklace | 40755 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 9255 | Balance Necklace - Amethyst | 40755 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 9629 | Bijou Necklace - Green Zirconia | 40755 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 9782 | Chevron Necklace | 40755 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 1599 | Sterling Silver Tree of Life Necklace | 15123 | PENDANT | -25632 | LADIES | ||
| 807 | DIAMOND DRAGONFLY NECKLACE | 15123 | PENDANT | -25632 | none | ||
| 725 | DIAMOND AND RUBY LADYBIRD AND LEAF PENDANT SET | 0 | PENDANT | -40755 | none | ||
| 654 | DIAMOND STARBURST PENDANT SET | 0 | PENDANT | -40755 | none | ||
| 655 | DIAMOND STARBURST PENDANT SET | 0 | PENDANT | -40755 | none | ||
| 707 | DIAMOND JIGSAW PUZZLE CUT OUT PENDANT | 0 | PENDANT | -40755 | none | ||
| 599 | DIAMOND STARBURST CUT OUT PENDANT | 0 | PENDANT | -40755 | none | ||
| 633 | DIAMOND STARBURST CUT OUT PENDANT | 0 | PENDANT | -40755 | none | ||
| 269 | Howlite Rectangle Mixed Chain Necklace | -2888138 | WHITE | -2928893 | none | ||
| 5395 | Airbrush 90's Green Boombox Shirt Design | -2928893 | DESIGN, BLACK | -2969648 | BRICKS, YELLOW, NEON GREEN | ||
| 997 | Fire & Ice (Deep Sea Blue) | -4319782 | BLUE | -4360537 | none |