Fold 3 - Understanding why coefficient 1164543 was selected
Tag: ALL OVER PRINT
Selected Coefficient: 1164543
Taxonomy Path: 1.1.18.3
Taxonomy Name: Apparel & Accessories > Clothing > Socks > Crew Socks
Products with this tag: 8
Unique residual values tried: 6
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? |
|---|---|---|---|---|---|
| 1164543 | 1.028566 | 1.1.18.3 | 3.18.1.1 (3*71^3 + 18*71^2 + 71 + 1) | Apparel & Accessories > Clothing > Socks > Crew Socks | Yes |
| 75687 | 1.028963 | 1.1.15 | 15.1.1 (15*71^2 + 71 + 1) | Apparel & Accessories > Clothing > Skirts | No |
| 766304 | 1.028963 | 1.1.10.2 | 2.10.1.1 (2*71^3 + 10*71^2 + 71 + 1) | Apparel & Accessories > Clothing > Outerwear > Coats & Jackets | No |
| 143 | 1.084507 | 1.2 | 2.1 (2*71 + 1) | Apparel & Accessories > Clothing Accessories | No |
| 40897 | 1.084507 | 1.8.8 | 8.8.1 (8*71^2 + 8*71 + 1) | Apparel & Accessories > Shoes > Sneakers | No |
| 15351 | 7.000000 | 15.3.3 | 3.3.15 (3*71^2 + 3*71 + 15) | Luggage & Bags > Cosmetic & Toiletry Bags > Makeup Bags | No |
These are the training products that have the "ALL OVER PRINT" tag (processing sequence 397). 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 |
|---|---|---|---|---|---|---|---|
| 5418 | Wiley Red Streaks - Crew Socks - large W white on red | 1164543 | Apparel & Accessories > Clothing > Socks > Crew Socks | none | 0 | SOCKS | |
| 5431 | Wiley Red Streaks - Crew Socks - white on red | 1164543 | Apparel & Accessories > Clothing > Socks > Crew Socks | none | 0 | SOCKS | |
| 5430 | Wiley Red Streaks - Crew Socks - red on white | 1164543 | Apparel & Accessories > Clothing > Socks > Crew Socks | none | 0 | SOCKS | |
| 9173 | Colors of the Wind All Over Print Hoodie | 766304 | Apparel & Accessories > Clothing > Outerwear > Coats & Jackets | none | -398239 | none | |
| 227 | Rock Candy - Women's Skater Skirt | 75687 | Apparel & Accessories > Clothing > Skirts | none | -1088856 | MADE IN USA | |
| 496 | Colored Witchy Women's Low Top Sneakers | 40897 | Apparel & Accessories > Shoes > Sneakers | none | -1123646 | AOP | |
| 249 | Accessory Pouch | 15351 | Luggage & Bags > Cosmetic & Toiletry Bags > Makeup Bags | none | -1149192 | AOP, MADE IN USA | |
| 5417 | Wiley Red Streaks - Crew Socks - large W red on white | 143 | Apparel & Accessories > Clothing Accessories | none | -1164400 | SOCKS |