Fold 3 - Understanding why coefficient 20834 was selected
Tag: BASIC-ESSENTIALS
Selected Coefficient: 20834
Taxonomy Path: 1.2.3
Taxonomy Name:
Products with this tag: 4
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? |
|---|---|---|---|---|---|
| 20834 | 0.012193 | 1.2.3 | 3.2.1 (3*83^2 + 2*83 + 1) | Yes | |
| 5835150 | 0.012339 | 1.2.17.10 | 10.17.2.1 (10*83^3 + 17*83^2 + 2*83 + 1) | No | |
| 2369900 | 0.036145 | 1.1.12.4 | 4.12.1.1 (4*83^3 + 12*83^2 + 83 + 1) | No |
These are the training products that have the "BASIC-ESSENTIALS" tag (processing sequence 4726). 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 |
|---|---|---|---|---|---|---|---|
| 25210 | Mitchell & Ness Chicago Bulls NBA Finals 1996 Snapback Hat | 5835150 | none | 5814316 | none | ||
| 25198 | Lined Denim (Vintage Blue) | 2369900 | none | 2349066 | none | ||
| 25178 | Wave Knit Balaclava (Blue) | 20834 | none | 0 | HATS | ||
| 25183 | Balaclava Face Mask Royal Blue | 20834 | none | 0 | HATS |