Fold 3 - Understanding why coefficient 15123 was selected
Tag: TAN
Selected Coefficient: 15123
Taxonomy Path: 0.0.3
Taxonomy Name:
Products with this tag: 5
Unique residual values tried: 5
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? |
|---|---|---|---|---|---|
| 15123 | 3.000198 | 0.0.3 | 3.0.0 (3*71^2) | Yes | |
| 5046041 | 3.000198 | 0.0.7.14 | 14.7.0.0 (14*71^3 + 7*71^2) | No | |
| -7289430 | 4.000000 | -2.2.26.20 | -20.26.2.2 (-(20*71^3 + 26*71^2 + 2*71 + 2)) | No | |
| -2928893 | 4.000000 | -1.1.13.8 | -8.13.1.1 (-(8*71^3 + 13*71^2 + 71 + 1)) | No | |
| 15692 | 4.000000 | 1.8.3 | 3.8.1 (3*71^2 + 8*71 + 1) | Apparel & Accessories > Shoes > Boots | No |
These are the training products that have the "TAN" tag (processing sequence 148). 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 |
|---|---|---|---|---|---|---|---|
| 1059 | Showpony | 5046041 | BLACK | 5030918 | BEACH, ITALIAN, SWIM | ||
| 9536 | CAMINO: TAN SUEDE AND SHEARLING BOOTS | 15692 | Apparel & Accessories > Shoes > Boots | none | 569 | Apparel & Accessories > Shoes | ANKLE BOOTS |
| 9502 | PAROS: TAN SUEDE STUDDED SANDALS - PRE-ORDER (DISPATCH W/C 20TH MARCH) | 15123 | SUEDE | 0 | SS23 | ||
| 7880 | She Escaped: Among Frilly Feathered Top Hats | -2928893 | BLACK, BLUE, WHITE, BROWN, ORANGE | -2944016 | ABSTRACT, ACRYLIC, BEIGE, BRIGHT COLORS, SQUARE | ||
| 5513 | Airbrush Pet Portrait With Blue Design | -7289430 | DESIGN, BLUE, PET, WHITE, ORANGE | -7304553 | CAT |