Fold 0 - Understanding why coefficient 77001347 was selected
Tag: CAPE SHAWL
Selected Coefficient: 77001347
Taxonomy Path: 1.1.10.2.3
Taxonomy Name: Apparel & Accessories > Clothing > Outerwear > Coats & Jackets > Capes
Products with this tag: 7
Unique residual values tried: 2
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? |
|---|---|---|---|---|---|
| 77001347 | 1.000000 | 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 | Yes |
| -204059752 | 6.000000 | -1.1.10.2.8 | -8.2.10.1.1 (-(8*71^4 + 2*71^3 + 10*71^2 + 71 + 1)) | No |
These are the training products that have the "CAPE SHAWL" tag (processing sequence 553). 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 |
|---|---|---|---|---|---|---|---|
| 1536 | Firenze Cape - 10% Cashmere / 40% Merino Blend Knit | 77001347 | Apparel & Accessories > Clothing > Outerwear > Coats & Jackets > Capes | none | 0 | none | |
| 1534 | Firenze Cape - 100% Merino Knit | 77001347 | Apparel & Accessories > Clothing > Outerwear > Coats & Jackets > Capes | none | 0 | none | |
| 1646 | Firenze Impuntura - SettantaTrenta 30% Cashmere / 70% Merino Knit | 77001347 | Apparel & Accessories > Clothing > Outerwear > Coats & Jackets > Capes | none | 0 | none | |
| 1533 | Firenze Cape - 100% Cashmere Knit | 77001347 | Apparel & Accessories > Clothing > Outerwear > Coats & Jackets > Capes | none | 0 | none | |
| 1537 | Firenze Cape - SettantaTrenta 30% Cashmere / 70% Merino Knit | 77001347 | Apparel & Accessories > Clothing > Outerwear > Coats & Jackets > Capes | none | 0 | none | |
| 1538 | Firenze Cape - SettantaTrenta 30% Cashmere / 70% Merino Knit | 77001347 | Apparel & Accessories > Clothing > Outerwear > Coats & Jackets > Capes | none | 0 | none | |
| 1535 | Firenze Cape - 10% Cashmere / 40% Merino Blend Knit | -204059752 | BLEND, BABY PINK | -281061099 | none |