Fold 1 - Understanding why coefficient 131209 was selected
Tag: COTTON
Selected Coefficient: 131209
Taxonomy Path: 1.2.26
Taxonomy Name: Apparel & Accessories > Clothing Accessories > Scarves & Shawls
Products with this tag: 17
Unique residual values tried: 10
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? |
|---|---|---|---|---|---|
| 131209 | 9.028169 | 1.2.26 | 26.2.1 (26*71^2 + 2*71 + 1) | Apparel & Accessories > Clothing Accessories > Scarves & Shawls | Yes |
| 77001347 | 9.084510 | 1.1.10.2.3 | 3.2.10.1.1 (3*71^4 + 2*71^3 + 10*71^2 + 71 + 1) | Apparel & Accessories > Clothing > Outerwear > Coats & Jackets > Capes | No |
| 2197948 | 9.084510 | 1.1.10.6 | 6.10.1.1 (6*71^3 + 10*71^2 + 71 + 1) | Apparel & Accessories > Clothing > Outerwear > Vests | No |
| -2162589 | 11.028566 | -0.0.3.6 | -6.3.0.0 (-(6*71^3 + 3*71^2)) | No | |
| 0 | 11.028566 | 0 | 0 (0) | No | |
| -4229328 | 11.056536 | -0.70.57.11 | -11.57.70.0 (-(11*71^3 + 57*71^2 + 70*71)) | No | |
| 110973 | 11.056536 | 0.1.22 | 22.1.0 (22*71^2 + 71) | No | |
| 4340286 | 15.014085 | 56.70.8.12 | 12.8.70.56 (12*71^3 + 8*71^2 + 70*71 + 56) | No | |
| 76870123 | 15.014085 | 56.69.54.1.3 | 3.1.54.69.56 (3*71^4 + 357911 + 54*71^2 + 69*71 + 56) | No | |
| 77001332 | 16.000000 | 57.0.10.2.3 | 3.2.10.0.57 (3*71^4 + 2*71^3 + 10*71^2 + 57) | No |
These are the training products that have the "COTTON" tag (processing sequence 614). 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 |
|---|---|---|---|---|---|---|---|
| 1678 | Maia Cape - 100% Cotton Knit | 77001347 | Apparel & Accessories > Clothing > Outerwear > Coats & Jackets > Capes | none | 76870138 | PEARL | |
| 1668 | Maia Cape - 100% Cotton Knit | 77001332 | GOLD | 76870123 | PEARL | ||
| 1667 | Maia Cape - 100% Cotton Knit | 76870123 | GOLD, BABY PINK | 76738914 | none | ||
| 1664 | Laura Top - 90% Cotton / 10% Lurex Knit | 4340286 | GOLD, BROWN | 4209077 | PEARL, RIGHE | ||
| 1680 | Matilde Gilet - 100% Cotton Knit | 2197948 | Apparel & Accessories > Clothing > Outerwear > Vests | none | 2066739 | PEARL | |
| 1696 | Sara Scarf - 100% Cotton Knit | 131209 | Apparel & Accessories > Clothing Accessories > Scarves & Shawls | none | 0 | none | |
| 1684 | Sara Scarf - 100% Cotton Knit | 131209 | Apparel & Accessories > Clothing Accessories > Scarves & Shawls | none | 0 | none | |
| 1699 | Sara Scarf - 100% Cotton Knit | 131209 | Apparel & Accessories > Clothing Accessories > Scarves & Shawls | none | 0 | none | |
| 1700 | Sara Scarf - 100% Cotton Knit | 131209 | Apparel & Accessories > Clothing Accessories > Scarves & Shawls | none | 0 | PEARL | |
| 1701 | Sara Scarf - 100% Cotton Knit | 131209 | Apparel & Accessories > Clothing Accessories > Scarves & Shawls | none | 0 | none | |
| 1702 | Sara Scarf - 100% Cotton Knit | 131209 | Apparel & Accessories > Clothing Accessories > Scarves & Shawls | none | 0 | none | |
| 1698 | Sara Scarf - 100% Cotton Knit | 110973 | BROWN | -20236 | none | ||
| 1666 | Laura Top - 90% Cotton / 10% Lurex Knit | 0 | WHITE | -131209 | RIGHE | ||
| 1697 | Sara Scarf - 100% Cotton Knit | 0 | BABY PINK | -131209 | none | ||
| 1679 | Matilde Gilet - 100% Cotton Knit | -2162589 | WHITE | -2293798 | none | ||
| 1716 | Serena Gilet - 90% Cotton / 10% Lurex | -2162589 | WHITE | -2293798 | RIGHE | ||
| 1703 | Sara Scarf - 100% Cotton Knit | -4229328 | WHITE | -4360537 | none |