Fold 3 - Understanding why coefficient -474583560 was selected
Tag: TREE
Selected Coefficient: -474583560
Taxonomy Path: -18.4.0.0.10
Taxonomy Name:
Products with this tag: 3
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? |
|---|---|---|---|---|---|
| -474583560 | 2.000000 | -18.4.0.0.10 | -10.0.0.4.18 (-(10*83^4 + 4*83 + 18)) | Yes | |
| 2832221 | 2.000000 | 12.10.79.4 | 4.79.10.12 (4*83^3 + 79*83^2 + 10*83 + 12) | No | |
| 298500894 | 2.000000 | 26.6.4.24.6 | 6.24.4.6.26 (6*83^4 + 24*83^3 + 4*83^2 + 6*83 + 26) | No |
These are the training products that have the "TREE" tag (processing sequence 6316). 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 |
|---|---|---|---|---|---|---|---|
| 19765 | Deep Breath Salve | 298500894 | ROSEMARY | 773084454 | KIDS PAGE, SALVES | ||
| 17636 | Christmas Collage Dog Bandana | 2832221 | TIE ON, DOG BANDANA, HOLLY | 477415781 | STOCKING | ||
| 19818 | Holographic Echinacea Sticker | -474583560 | STICKER, MERCHANDISE | 0 | none |