Fold 0 - Understanding why coefficient -18723 was selected
Tag: WINTER22
Selected Coefficient: -18723
Taxonomy Path: -0.0.3
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? |
|---|---|---|---|---|---|
| -18723 | 2.000160 | -0.0.3 | -3.0.0 (-(3*79^2)) | Yes | |
| 18723 | 2.000320 | 0.0.3 | 3.0.0 (3*79^2) | No | |
| 56644 | 3.000000 | 1.6.9 | 9.6.1 (9*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Rings | No |
These are the training products that have the "WINTER22" tag (processing sequence 3101). 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 |
|---|---|---|---|---|---|---|---|
| 13723 | Flat Band Ring (Silver) | 56644 | Apparel & Accessories > Jewelry > Rings | none | 75367 | none | |
| 14369 | Forever Stacking Ring (Silver) | 56644 | Apparel & Accessories > Jewelry > Rings | none | 75367 | none | |
| 12370 | Diva Chain Ring | 18723 | 14K YELLOW GOLD FILLED | 37446 | none | ||
| 6627 | Aphrodite Bracelet - Lapis | -18723 | 14K YELLOW GOLD FILLED | 0 | none | ||
| 6958 | Aphrodite Bracelet - Purple Garnet | -18723 | 14K YELLOW GOLD FILLED | 0 | none |