Fold 4 - Understanding why coefficient 1805002 was selected
Tag: LADIES APPAREL
Selected Coefficient: 1805002
Taxonomy Path: 1.1.13.3
Taxonomy Name:
Products with this tag: 14
Unique residual values tried: 8
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? |
|---|---|---|---|---|---|
| 5235724 | 7.000584 | 1.1.13.9 | 9.13.1.1 (9*83^3 + 13*83^2 + 83 + 1) | No | |
| 1805002 | 7.000584 | 1.1.13.3 | 3.13.1.1 (3*83^3 + 13*83^2 + 83 + 1) | Yes | |
| 4663937 | 7.000584 | 1.1.13.8 | 8.13.1.1 (8*83^3 + 13*83^2 + 83 + 1) | No | |
| 1212548 | 7.000726 | 1.1.10.2 | 2.10.1.1 (2*83^3 + 10*83^2 + 83 + 1) | No | |
| 2955465 | 7.000871 | 1.1.14.5 | 5.14.1.1 (5*83^3 + 14*83^2 + 83 + 1) | No | |
| 27640 | 7.000871 | 1.1.4 | 4.1.1 (4*83^2 + 83 + 1) | No | |
| 0 | 8.000000 | 0 | 0 (0) | No | |
| -661428 | 13.000000 | -1.1.13.1 | -1.13.1.1 (-(571787 + 13*83^2 + 83 + 1)) | No |
These are the training products that have the "LADIES APPAREL" tag (processing sequence 6473). 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 | ||
| 32836 | Crazy Train Shoreline Shorts | 2955465 | none | 1150463 | CRAZY TRAIN | ||
| 32830 | Ivory fuzzy cardigan | 1805002 | none | 0 | none | ||
| 32824 | Crazy Train serape jacket | 1212548 | none | -592454 | CRAZY TRAIN | ||
| 32841 | Texas True Threads Purple Game Day Cardigan | 1212548 | none | -592454 | none | ||
| 32847 | Bonita floral dress | 27640 | LADIES DRESS, FLORAL DRESS | -1777362 | CRAZY TRAIN | ||
| 32846 | Texas friendly state tshirt | 0 | T SHIRTS | -1805002 | none | ||
| 32818 | Crazy Train Spark Joy Top | 0 | LADIES TOP | -1805002 | CRAZY TRAIN | ||
| 32828 | Savanna Jane Boho Striped top | 0 | LADIES TOP | -1805002 | none | ||
| 32829 | Savanna Jane Boho Stripe top | 0 | LADIES TOP | -1805002 | none | ||
| 32835 | Navy blue vneck striped dress | 0 | LADIES DRESS | -1805002 | none | ||
| 32842 | Zenana Lace Bottom Top | 0 | LADIES TOP | -1805002 | none | ||
| 32839 | Peace+Love=Baseball Tshirt | -661428 | T SHIRTS, LADIES TOP | -2466430 | BASEBALL |