Fold 0 - Understanding why coefficient 1591535 was selected
Tag: CHARCOAL
Selected Coefficient: 1591535
Taxonomy Path: 1.1.18.3
Taxonomy Name: Apparel & Accessories > Clothing > Socks > Crew Socks
Products with this tag: 8
Unique residual values tried: 7
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? |
|---|---|---|---|---|---|
| 1591535 | 3.025477 | 1.1.18.3 | 3.18.1.1 (3*79^3 + 18*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Socks > Crew Socks | Yes |
| 546349702 | 3.025637 | 1.1.10.2.14 | 14.2.10.1.1 (14*79^4 + 2*79^3 + 10*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Outerwear > Coats & Jackets > Trucker Jackets | No |
| 50561 | 3.038135 | 1.8.8 | 8.8.1 (8*79^2 + 8*79 + 1) | Apparel & Accessories > Shoes > Sneakers | No |
| 6874 | 3.038135 | 1.8.1 | 1.8.1 (6241 + 8*79 + 1) | Apparel & Accessories > Shoes > Athletic Shoes | No |
| 178 | 7.000000 | 20.2 | 2.20 (2*79 + 20) | Religious & Ceremonial > Religious Items | No |
| 13440 | 7.000000 | 10.12.2 | 2.12.10 (2*79^2 + 12*79 + 10) | Furniture > Office Furniture > Office Chairs | No |
| 548815700 | 7.000000 | 14.11.10.7.14 | 14.7.10.11.14 (14*79^4 + 7*79^3 + 10*79^2 + 11*79 + 14) | Home & Garden > Kitchen & Dining > Tableware > Serveware > Serving Bowls | No |
These are the training products that have the "CHARCOAL" tag (processing sequence 131). 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 |
|---|---|---|---|---|---|---|---|
| 14326 | Studio Sturdy - Pemberton Bowl - Charcoal Marble | 548815700 | Home & Garden > Kitchen & Dining > Tableware > Serveware > Serving Bowls | none | 547224165 | RESIN | |
| 12615 | Aztec Jacket in Charcoal and Berry | 546349702 | Apparel & Accessories > Clothing > Outerwear > Coats & Jackets > Trucker Jackets | none | 544758167 | JACKET | |
| 11805 | Vago Paisley Fashion Socks | 1591535 | Apparel & Accessories > Clothing > Socks > Crew Socks | none | 0 | ACCESSORIES, CLOTHING, COTTON-BLEND, MULTI, SOCKS, UNDER-50 | |
| 11819 | Vadala Paisley Fashion Socks | 1591535 | Apparel & Accessories > Clothing > Socks > Crew Socks | none | 0 | ACCESSORIES, CLOTHING, COTTON-BLEND, MULTI, SOCKS, UNDER-50 | |
| 12036 | Men's Soho by Skuze Shoes | 50561 | Apparel & Accessories > Shoes > Sneakers | none | -1540974 | 10 MENS | |
| 6300 | Bilbao Fabric Operator Chair DM | 13440 | Furniture > Office Furniture > Office Chairs | none | -1578095 | none | |
| 12044 | Women's Soho by Skuze Shoes | 6874 | Apparel & Accessories > Shoes > Athletic Shoes | none | -1584661 | 11.5 WOMENS | |
| 915 | Cast Iron Burner Cauldron with wooden handle | 178 | Religious & Ceremonial > Religious Items | none | -1591357 | INCENSE, SAGE |