Fold 3 - Understanding why coefficient 349747 was selected
Tag: HOME & LIVING
Selected Coefficient: 349747
Taxonomy Path: 14.3.56
Taxonomy Name: Home & Garden > Decor > Refrigerator Magnets
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? |
|---|---|---|---|---|---|
| 349747 | 2.000000 | 14.3.56 | 56.3.14 (56*79^2 + 3*79 + 14) | Home & Garden > Decor > Refrigerator Magnets | Yes |
| -87929 | 3.000000 | -2.7.14 | -14.7.2 (-(14*79^2 + 7*79 + 2)) | No | |
| 0 | 3.000000 | 0 | 0 (0) | No |
These are the training products that have the "HOME & LIVING" tag (processing sequence 3044). 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 |
|---|---|---|---|---|---|---|---|
| 14161 | Kiss-Cut Magnet - Fight Response | 349747 | Home & Garden > Decor > Refrigerator Magnets | none | 0 | none | |
| 14170 | Kiss-Cut Magnet - Fawn Response | 349747 | Home & Garden > Decor > Refrigerator Magnets | none | 0 | none | |
| 18481 | Tumbler 20oz | 0 | SUBLIMATION | -349747 | none | ||
| 5845 | Mech Love Not War, Garden Guardian - Matte Canvas, Stretched, 0.75" | -87929 | CANVAS, MATTE, WOOD | -437676 | none |