Fold 4 - Understanding why coefficient 4663937 was selected
Tag: WORKWEAR
Selected Coefficient: 4663937
Taxonomy Path: 1.1.13.8
Taxonomy Name:
Products with this tag: 16
Unique residual values tried: 12
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? |
|---|---|---|---|---|---|
| 4663937 | 9.012340 | 1.1.13.8 | 8.13.1.1 (8*83^3 + 13*83^2 + 83 + 1) | Yes | |
| 4092150 | 9.012344 | 1.1.13.7 | 7.13.1.1 (7*83^3 + 13*83^2 + 83 + 1) | No | |
| 165420 | 9.012629 | 1.1.24 | 24.1.1 (24*83^2 + 83 + 1) | No | |
| 213726 | 9.072289 | 1.2.31 | 31.2.1 (31*83^2 + 2*83 + 1) | No | |
| 0 | 11.012195 | 0 | 0 (0) | No | |
| -2858935 | 11.012197 | -0.0.0.5 | -5.0.0.0 (-(5*83^3)) | No | |
| 278439602 | 11.012484 | 0.0.80.71.5 | 5.71.80.0.0 (5*83^4 + 71*83^3 + 80*83^2) | No | |
| 13695 | 11.048193 | 0.82.1 | 1.82.0 (6889 + 82*83) | No | |
| -151725 | 14.012048 | -1.2.22 | -22.2.1 (-(22*83^2 + 2*83 + 1)) | No | |
| -4663937 | 14.012048 | -1.1.13.8 | -8.13.1.1 (-(8*83^3 + 13*83^2 + 83 + 1)) | No | |
| 4119533 | 15.000000 | 77.81.16.7 | 7.16.81.77 (7*83^3 + 16*83^2 + 81*83 + 77) | No | |
| -1116191 | 15.000000 | -7.2.79.1 | -1.79.2.7 (-(571787 + 79*83^2 + 2*83 + 7)) | No |
These are the training products that have the "WORKWEAR" tag (processing sequence 6362). 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 |
|---|---|---|---|---|---|---|---|
| 12444 | Carhartt®Washed Duck Sherpa-Lined Coat | 278439602 | HOODIES | 273775665 | none | ||
| 32486 | #THROWSOMEDSONIT | 4663937 | none | 0 | SPORTSWEAR | ||
| 32499 | Throw Some D's On It T-Shirt | 4663937 | none | 0 | SPORTSWEAR | ||
| 32487 | Pork is Good | 4663937 | none | 0 | SPORTSWEAR | ||
| 18108 | Savannah Button Down Shirt Ivory | 4119533 | SHOP ALL, COASTAL, BLACKFRI2022, NEWSLETTER2019, ALL TOPS | -544404 | none | ||
| 12601 | Tough Duck® Women’s Flannel Shirt Women’s Flannel Shirt WS10 | 4092150 | none | -571787 | none | ||
| 32497 | Mike D's BBQ Adjustable Apron | 213726 | none | -4450211 | none | ||
| 12606 | Tough Duck® S/S Safety T-Shirt with Segmented Stripes ST07 | 165420 | none | -4498517 | none | ||
| 12614 | Tough Duck® S/S Safety T-Shirt with Pocket S392 | 165420 | none | -4498517 | none | ||
| 12600 | Tough Duck® Women’s Quilt-Lined Flannel Shirt WS11 | 13695 | TOUGH DUCK | -4650242 | none | ||
| 12445 | Carhartt® Midweight Hooded Zip-Front Sweatshirt | 0 | HOODIES | -4663937 | none | ||
| 32495 | Mike D's BBQ Hoodie | 0 | HOODIES & SWEATSHIRTS | -4663937 | SPORTSWEAR | ||
| 12567 | Tough Duck® Reversible Safety Beanie SA2831 | -151725 | BEANIE, TOUGH DUCK | -4815662 | none | ||
| 18112 | Light Blue Plaid Long Sleeve | -1116191 | SHOP ALL, BLACKFRI2022, ALL TOPS | -5780128 | none | ||
| 12433 | Carhartt®Workwear Pocket Short-Sleeve T-Shirt | -2858935 | HOODIES | -7522872 | none | ||
| 26738 | Aries Zodiac Sign T-Shirt | -4663937 | PLUS SIZE TOP, GRAPHIC TEES | -9327874 | none |