Fold 0 - 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: 5
Unique residual values tried: 4
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 | 2.012658 | 14.3.56 | 56.3.14 (56*79^2 + 3*79 + 14) | Home & Garden > Decor > Refrigerator Magnets | Yes |
| 314129136 | 2.025316 | 14.11.10.5.8 | 8.5.10.11.14 (8*79^4 + 5*79^3 + 10*79^2 + 11*79 + 14) | Home & Garden > Kitchen & Dining > Tableware > Drinkware > Tumblers | No |
| 13440 | 4.000000 | 10.12.2 | 2.12.10 (2*79^2 + 12*79 + 10) | Furniture > Office Furniture > Office Chairs | No |
| 78911059 | 4.000000 | 13.77.3.2.2 | 2.2.3.77.13 (2*79^4 + 2*79^3 + 3*79^2 + 77*79 + 13) | No |
These are the training products that have the "HOME & LIVING" tag (processing sequence 3517). 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 |
|---|---|---|---|---|---|---|---|
| 18481 | Tumbler 20oz | 314129136 | Home & Garden > Kitchen & Dining > Tableware > Drinkware > Tumblers | none | 313779389 | none | |
| 5845 | Mech Love Not War, Garden Guardian - Matte Canvas, Stretched, 0.75" | 78911059 | MATTE | 78561312 | none | ||
| 14160 | Kiss-Cut Magnet - Flight 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 | |
| 9755 | HON Ignition Low-Back Task Chair | 13440 | Furniture > Office Furniture > Office Chairs | none | -336307 | none |