Fold 1 - 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: 25
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 | 13.000000 | 1.6.8 | 8.6.1 (8*71^2 + 6*71 + 1) | Apparel & Accessories > Jewelry > Necklaces | Yes |
| 0 | 15.014481 | 0 | 0 (0) | No | |
| 15123 | 15.015473 | 0.0.3 | 3.0.0 (3*71^2) | No | |
| -2888138 | 15.126761 | -0.66.4.8 | -8.4.66.0 (-(8*71^3 + 4*71^2 + 66*71)) | No | |
| -7320103 | 24.000000 | -3.8.32.20 | -20.32.8.3 (-(20*71^3 + 32*71^2 + 8*71 + 3)) | No | |
| 162 | 24.000000 | 20.2 | 2.20 (2*71 + 20) | Religious & Ceremonial > Religious Items | No |
| -2928893 | 24.000000 | -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 24). 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 |
|---|---|---|---|---|---|---|---|
| 979 | Fire & Ice (Champagne) | 40755 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | CHAMPAGNE | |
| 250 | Charmed Mandala Necklace | 40755 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 257 | Faceted Citrine Drop Necklace | 40755 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 10349 | 90's Baby Chain Gold Necklace | 40755 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | ACCESSORIES | |
| 272 | Rise Above Multi Strand Necklace | 40755 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 9782 | Chevron Necklace | 40755 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 9629 | Bijou Necklace - Green Zirconia | 40755 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 640 | DIAMOND STARBURST EYE NECKLACE | 40755 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 9255 | Balance Necklace - Amethyst | 40755 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 7829 | Aurora Necklace | 40755 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | RAINBOW MOONSTONE | |
| 6266 | Pearly Heart Necklace | 40755 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 5829 | Paper Heart Necklace (Silver) | 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 | ||
| 228 | St Christopher Medal Rose Quartz Necklace | 162 | Religious & Ceremonial > Religious Items | none | -40593 | ROSE QUARTZ | |
| 707 | DIAMOND JIGSAW PUZZLE CUT OUT PENDANT | 0 | PENDANT | -40755 | none | ||
| 654 | DIAMOND STARBURST PENDANT SET | 0 | PENDANT | -40755 | none | ||
| 633 | DIAMOND STARBURST CUT OUT PENDANT | 0 | PENDANT | -40755 | none | ||
| 599 | DIAMOND STARBURST CUT OUT PENDANT | 0 | PENDANT | -40755 | none | ||
| 695 | DIAMOND WING PENDANT | 0 | PENDANT | -40755 | none | ||
| 659 | DIAMOND STARBURST PENDANT | 0 | PENDANT | -40755 | none | ||
| 655 | DIAMOND STARBURST PENDANT SET | 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 | YELLOW, BRICKS | ||
| 5450 | Airbrush 90's Neon Boombox Shirt Design | -7320103 | DESIGN, BLACK, GOLD, BLUE | -7360858 | BRICKS |