Fold 1 - Understanding why coefficient 45796 was selected
Tag: RAINBOW
Selected Coefficient: 45796
Taxonomy Path: 1.6.9
Taxonomy Name: Apparel & Accessories > Jewelry > Rings
Products with this tag: 7
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? |
|---|---|---|---|---|---|
| 45796 | 4.000198 | 1.6.9 | 9.6.1 (9*71^2 + 6*71 + 1) | Apparel & Accessories > Jewelry > Rings | Yes |
| 30673 | 4.000397 | 1.6.6 | 6.6.1 (6*71^2 + 6*71 + 1) | Apparel & Accessories > Jewelry > Earrings | No |
| -4360537 | 4.028169 | -1.1.13.12 | -12.13.1.1 (-(12*71^3 + 13*71^2 + 71 + 1)) | No | |
| -136250 | 4.028169 | -1.2.27 | -27.2.1 (-(27*71^2 + 2*71 + 1)) | No | |
| 7284244 | 4.028169 | 70.70.24.20 | 20.24.70.70 (20*71^3 + 24*71^2 + 70*71 + 70) | No | |
| -710710 | 6.000000 | -0.70.69.1 | -1.69.70.0 (-(357911 + 69*71^2 + 70*71)) | No |
These are the training products that have the "RAINBOW" tag (processing sequence 95). 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 |
|---|---|---|---|---|---|---|---|
| 9379 | Airbrush #LongLive Portrait With Butterflies Shirt Design | 7284244 | DESIGN, BLUE, T-SHIRT, YELLOW, PORTRAIT | 7238448 | none | ||
| 9171 | Rainbow Pride Pan Ring | 45796 | Apparel & Accessories > Jewelry > Rings | none | 0 | NOAH JEWELRIES, RINGS | |
| 9229 | Rounded Band Rainbow Triangles Pride Ring 925 Sterling Silver | 45796 | Apparel & Accessories > Jewelry > Rings | none | 0 | NOAH JEWELRIES, RINGS | |
| 9499 | DANCING QUEEN: RAINBOW METALLIC BLOCK HEEL SANDALS | 30673 | Apparel & Accessories > Jewelry > Earrings | METALLIC | -15123 | _BADGE_NEW_IN_ | |
| 4174 | Item011: Computer Ribbon Cable Earrings - rainbow, woven, fabric, primitive, round | -136250 | EARRINGS, ROUND | -182046 | WOVEN | ||
| 1529 | Checkered Hair Clip // Black + White | -710710 | BLACK | -756506 | HAIR ACCESSORIES | ||
| 5510 | Airbrush Pet Portrait With Rainbow Design | -4360537 | DESIGN, BLACK, PET, BLUE | -4406333 | ANIMAL |