Fold 4 - Understanding why coefficient 4056730 was selected
Tag: STONE
Selected Coefficient: 4056730
Taxonomy Path: 1.1.18.8
Taxonomy Name: Apparel & Accessories > Clothing > Socks > Knee Socks
Products with this tag: 3
Unique residual values tried: 3
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? |
|---|---|---|---|---|---|
| 4056730 | 1.000160 | 1.1.18.8 | 8.18.1.1 (8*79^3 + 18*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Socks > Knee Socks | Yes |
| 78892561 | 1.000160 | 1.1.1.2.2 | 2.2.1.1.1 (2*79^4 + 2*79^3 + 6241 + 79 + 1) | Apparel & Accessories > Clothing > Activewear > Activewear Tops > T-Shirts | No |
| 0 | 2.000000 | 0 | 0 (0) | No |
These are the training products that have the "STONE" tag (processing sequence 3748). 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 |
|---|---|---|---|---|---|---|---|
| 11764 | Stone HC - Foundation Away Playing Shirt (Badgers only) | 78892561 | Apparel & Accessories > Clothing > Activewear > Activewear Tops > T-Shirts | none | 74835831 | none | |
| 11758 | Stone HC - Playing Socks (White) | 4056730 | Apparel & Accessories > Clothing > Socks > Knee Socks | none | 0 | none | |
| 1726 | Victoria Jacket - 100% Linen Knit | 0 | LINEN | -4056730 | none |