Fold 2 - Understanding why coefficient 4031845 was selected
Tag: CLUTCH HEADBANDS
Selected Coefficient: 4031845
Taxonomy Path: 1.2.14.8
Taxonomy Name: Apparel & Accessories > Clothing Accessories > Hair Accessories > Headbands
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? |
|---|---|---|---|---|---|
| 4031845 | 2.000000 | 1.2.14.8 | 8.14.2.1 (8*79^3 + 14*79^2 + 2*79 + 1) | Apparel & Accessories > Clothing Accessories > Hair Accessories > Headbands | Yes |
| 4006801 | 5.000000 | 0.1.10.8 | 8.10.1.0 (8*79^3 + 10*79^2 + 79) | No |
These are the training products that have the "CLUTCH HEADBANDS" tag (processing sequence 1013). 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 |
|---|---|---|---|---|---|---|---|
| 3833 | Knotted Turquoise Floral Headband | 4031845 | Apparel & Accessories > Clothing Accessories > Hair Accessories > Headbands | none | 0 | none | |
| 3819 | Knotted Blue Porcelain Print Headband | 4031845 | Apparel & Accessories > Clothing Accessories > Hair Accessories > Headbands | none | 0 | none | |
| 3820 | Knotted Leopard Print Headband | 4031845 | Apparel & Accessories > Clothing Accessories > Hair Accessories > Headbands | none | 0 | none | |
| 3838 | Purple Ribbon Headband | 4031845 | Apparel & Accessories > Clothing Accessories > Hair Accessories > Headbands | none | 0 | none | |
| 3852 | Aqua Ribbon Headband | 4031845 | Apparel & Accessories > Clothing Accessories > Hair Accessories > Headbands | none | 0 | none | |
| 3807 | Floral Print Headband | 4006801 | FASHION | -25044 | none | ||
| 3839 | Snakeskin Print Headband | 4006801 | FASHION | -25044 | none |