Fold 0 - Understanding why coefficient 15692 was selected
Tag: SHOES
Selected Coefficient: 15692
Taxonomy Path: 1.8.3
Taxonomy Name: Apparel & Accessories > Shoes > Boots
Products with this tag: 5
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? |
|---|---|---|---|---|---|
| 15692 | 3.000198 | 1.8.3 | 3.8.1 (3*71^2 + 8*71 + 1) | Apparel & Accessories > Shoes > Boots | Yes |
| 30815 | 3.000198 | 1.8.6 | 6.8.1 (6*71^2 + 8*71 + 1) | Apparel & Accessories > Shoes > Sandals | No |
| -4360537 | 4.000000 | -1.1.13.12 | -12.13.1.1 (-(12*71^3 + 13*71^2 + 71 + 1)) | No | |
| 0 | 4.000000 | 0 | 0 (0) | No | |
| 1552712 | 4.000000 | 13.1.24.4 | 4.24.1.13 (4*71^3 + 24*71^2 + 71 + 13) | Health & Beauty > Health Care > Supports & Braces > Knee Braces | No |
These are the training products that have the "SHOES" tag (processing sequence 1216). 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 |
|---|---|---|---|---|---|---|---|
| 5712 | Dr. Scholl's Knee Pain Relief Orthotics // Immediate and All-Day Knee Pain Relief Including Pain from Runner’s Knee (for Women's 5.5-9) | 1552712 | Health & Beauty > Health Care > Supports & Braces > Knee Braces | none | 1537020 | none | |
| 1103 | SOREL - Ella Sandal Navy | 30815 | Apparel & Accessories > Shoes > Sandals | none | 15123 | none | |
| 1276 | STEVE MADDEN - Redford sand cowboy boot | 15692 | Apparel & Accessories > Shoes > Boots | none | 0 | none | |
| 5711 | Dr. Scholl's Knee Pain Relief Orthotics // Immediate and All-Day Knee Pain Relief Including Pain from Runner’s Knee (for Women's 5.5-9) | 0 | PRE-ORDER | -15692 | none | ||
| 5682 | Dr. Scholl’s Stylish Step Hidden Arch Support for Flats, 3 Pairs | -4360537 | MEN, PRE-ORDER | -4376229 | none |