Fold 0 - Understanding why coefficient -4340301 was selected
Tag: BEST DRESS
Selected Coefficient: -4340301
Taxonomy Path: -0.0.9.12
Taxonomy Name:
Products with this tag: 7
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? |
|---|---|---|---|---|---|
| -4340301 | 3.000400 | -0.0.9.12 | -12.9.0.0 (-(12*71^3 + 9*71^2)) | Yes | |
| -2192835 | 3.000400 | -0.0.9.6 | -6.9.0.0 (-(6*71^3 + 9*71^2)) | No | |
| -4284850 | 3.000595 | -0.0.69.11 | -11.69.0.0 (-(11*71^3 + 69*71^2)) | No | |
| -3937021 | 3.000595 | -0.0.0.11 | -11.0.0.0 (-(11*71^3)) | No | |
| 20236 | 4.000000 | 1.1.4 | 4.1.1 (4*71^2 + 71 + 1) | Apparel & Accessories > Clothing > Dresses | No |
These are the training products that have the "BEST DRESS" tag (processing sequence 732). 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 |
|---|---|---|---|---|---|---|---|
| 1051 | Rosheen -Red | 20236 | Apparel & Accessories > Clothing > Dresses | none | 4360537 | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | COLORFUL DRESSES |
| 907 | Dua | 20236 | Apparel & Accessories > Clothing > Dresses | none | 4360537 | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | CAMI NYC, COLORFUL DRESSES, FLORAL DRESSES, PARTY DRESS |
| 835 | Blakely | 20236 | Apparel & Accessories > Clothing > Dresses | none | 4360537 | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | FRAILS |
| 994 | Kristen -Navy | -2192835 | NAVY | 2147466 | BOHEMIAN STYLE, FLOWY DRESSES, MAXI DRESSES | ||
| 893 | Dolan | -3937021 | CASUAL | 403280 | FUN SUMMER COLORS, RETRO | ||
| 1035 | Paige | -4284850 | CASUAL | 55451 | RAILS, RETRO, SUMMER COLORS | ||
| 933 | Georgette Ruffle | -4340301 | CASUAL | 0 | FUN SUMMER COLORS, RETRO |