Fold 0 - Understanding why coefficient -1419397 was selected
Tag: MODERN HOME
Selected Coefficient: -1419397
Taxonomy Path: -14.3.40.2
Taxonomy Name:
Products with this tag: 5
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? |
|---|---|---|---|---|---|
| -1419397 | 2.000000 | -14.3.40.2 | -2.40.3.14 (-(2*83^3 + 40*83^2 + 3*83 + 14)) | Yes | |
| 844 | 3.012048 | 14.10 | 10.14 (10*83 + 14) | No | |
| 1419397 | 3.012048 | 14.3.40.2 | 2.40.3.14 (2*83^3 + 40*83^2 + 3*83 + 14) | No |
These are the training products that have the "MODERN HOME" tag (processing sequence 2755). 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 |
|---|---|---|---|---|---|---|---|
| 29828 | CHRISTMAS TREE 9 oz Scented Soy Candle | 1419397 | none | 2838794 | SCENTED SOY CANDLE | ||
| 29827 | CHRISTMAS TREE Wax Melts | 844 | none | 1420241 | SCENTED SOY CANDLE, ESSENTIAL OILS | ||
| 29859 | 12 Month Candle Subscription | -1419397 | COTTON WICK, VEGAN CANDLE | 0 | none | ||
| 29860 | 6 Month Candle Subscription | -1419397 | COTTON WICK, VEGAN CANDLE | 0 | none | ||
| 29861 | 3 Month Candle Subscription | -1419397 | COTTON WICK, VEGAN CANDLE | 0 | none |