Fold 1 - 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 |
| 6874 | 3.038135 | 1.8.1 | 1.8.1 (6241 + 8*79 + 1) | Apparel & Accessories > Shoes > Athletic Shoes | No |
| 50561 | 3.038135 | 1.8.8 | 8.8.1 (8*79^2 + 8*79 + 1) | Apparel & Accessories > Shoes > Sneakers | No |
| -5984241 | 7.000000 | -70.67.10.12 | -12.10.67.70 (-(12*79^3 + 10*79^2 + 67*79 + 70)) | No | |
| 178 | 7.000000 | 20.2 | 2.20 (2*79 + 20) | Religious & Ceremonial > Religious Items | No |
| -6034802 | 7.000000 | -71.75.18.12 | -12.18.75.71 (-(12*79^3 + 18*79^2 + 75*79 + 71)) | No |
These are the training products that have the "CHARCOAL" tag (processing sequence 118). 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 |
|---|---|---|---|---|---|---|---|
| 12615 | Aztec Jacket in Charcoal and Berry | 546349702 | Apparel & Accessories > Clothing > Outerwear > Coats & Jackets > Trucker Jackets | none | 544758167 | JACKET, OUTERWEAR | |
| 11819 | Vadala Paisley Fashion Socks | 1591535 | Apparel & Accessories > Clothing > Socks > Crew Socks | none | 0 | ACCESSORIES, CLOTHING, COTTON-BLEND, UNDER-50, VANNUCCI | |
| 11805 | Vago Paisley Fashion Socks | 1591535 | Apparel & Accessories > Clothing > Socks > Crew Socks | none | 0 | ACCESSORIES, CLOTHING, COTTON-BLEND, UNDER-50, VANNUCCI | |
| 12036 | Men's Soho by Skuze Shoes | 50561 | Apparel & Accessories > Shoes > Sneakers | none | -1540974 | 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 | |
| 6300 | Bilbao Fabric Operator Chair DM | -5984241 | BLUE | -7575776 | none | ||
| 6317 | Vantage Fabric Operator Chair | -6034802 | GREY, BLUE | -7626337 | FIXED ARMS |