Fold 3 - Understanding why coefficient 162425 was selected
Tag: VENTAGLI
Selected Coefficient: 162425
Taxonomy Path: 1.2.26
Taxonomy Name: Apparel & Accessories > Clothing Accessories > Scarves & Shawls
Products with this tag: 7
Unique residual values tried: 5
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? |
|---|---|---|---|---|---|
| 162425 | 4.000000 | 1.2.26 | 26.2.1 (26*79^2 + 2*79 + 1) | Apparel & Accessories > Clothing Accessories > Scarves & Shawls | Yes |
| -117736386 | 4.000320 | -0.78.62.1.3 | -3.1.62.78.0 (-(3*79^4 + 493039 + 62*79^2 + 78*79)) | No | |
| -5835256 | 4.000320 | -0.78.65.11 | -11.65.78.0 (-(11*79^3 + 65*79^2 + 78*79)) | No | |
| 137381 | 4.000320 | 0.1.22 | 22.1.0 (22*79^2 + 79) | No | |
| -3831979 | 6.000000 | -5.0.61.7 | -7.61.0.5 (-(7*79^3 + 61*79^2 + 5)) | No |
These are the training products that have the "VENTAGLI" tag (processing sequence 3024). 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 |
|---|---|---|---|---|---|---|---|
| 1701 | Sara Scarf - 100% Cotton Knit | 162425 | Apparel & Accessories > Clothing Accessories > Scarves & Shawls | none | 0 | none | |
| 1696 | Sara Scarf - 100% Cotton Knit | 162425 | Apparel & Accessories > Clothing Accessories > Scarves & Shawls | none | 0 | none | |
| 1703 | Sara Scarf - 100% Cotton Knit | 162425 | Apparel & Accessories > Clothing Accessories > Scarves & Shawls | none | 0 | none | |
| 1698 | Sara Scarf - 100% Cotton Knit | 137381 | BROWN | -25044 | none | ||
| 1702 | Sara Scarf - 100% Cotton Knit | -3831979 | TEAL | -3994404 | none | ||
| 1684 | Sara Scarf - 100% Cotton Knit | -5835256 | GREY | -5997681 | none | ||
| 1697 | Sara Scarf - 100% Cotton Knit | -117736386 | BABY PINK | -117898811 | none |