Fold 1 - Understanding why coefficient 1805002 was selected
Tag: LADIES APPAREL
Selected Coefficient: 1805002
Taxonomy Path: 1.1.13.3
Taxonomy Name:
Products with this tag: 9
Unique residual values tried: 6
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? |
|---|---|---|---|---|---|
| 1805002 | 4.000294 | 1.1.13.3 | 3.13.1.1 (3*83^3 + 13*83^2 + 83 + 1) | Yes | |
| 5235724 | 4.000294 | 1.1.13.9 | 9.13.1.1 (9*83^3 + 13*83^2 + 83 + 1) | No | |
| 4663937 | 4.000294 | 1.1.13.8 | 8.13.1.1 (8*83^3 + 13*83^2 + 83 + 1) | No | |
| 626983 | 4.000581 | 1.1.8.1 | 1.8.1.1 (571787 + 8*83^2 + 83 + 1) | No | |
| 1212548 | 4.000581 | 1.1.10.2 | 2.10.1.1 (2*83^3 + 10*83^2 + 83 + 1) | No | |
| 0 | 5.000000 | 0 | 0 (0) | No |
These are the training products that have the "LADIES APPAREL" tag (processing sequence 6857). 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 |
|---|---|---|---|---|---|---|---|
| 32851 | Tank camis-plus | 5235724 | none | 3430722 | none | ||
| 32817 | Shamrock Smiley Face Tshirt | 4663937 | none | 2858935 | none | ||
| 32830 | Ivory fuzzy cardigan | 1805002 | none | 0 | none | ||
| 32841 | Texas True Threads Purple Game Day Cardigan | 1212548 | none | -592454 | none | ||
| 32824 | Crazy Train serape jacket | 626983 | CRAZY TRAIN | -1178019 | none | ||
| 32836 | Crazy Train Shoreline Shorts | 0 | DISTRESSED DENIM, CRAZY TRAIN | -1805002 | none | ||
| 32835 | Navy blue vneck striped dress | 0 | LADIES DRESS | -1805002 | none | ||
| 32829 | Savanna Jane Boho Stripe top | 0 | LADIES TOP | -1805002 | none | ||
| 32828 | Savanna Jane Boho Striped top | 0 | LADIES TOP | -1805002 | none |