Fold 4 - Understanding why coefficient 179281 was selected
Tag: FINAL SALE
Selected Coefficient: 179281
Taxonomy Path: 1.2.26
Taxonomy Name:
Products with this tag: 13
Unique residual values tried: 11
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? |
|---|---|---|---|---|---|
| 7515983 | 9.024242 | 1.1.12.13 | 13.12.1.1 (13*83^3 + 12*83^2 + 83 + 1) | No | |
| 3437695 | 9.024242 | 1.1.1.6 | 6.1.1.1 (6*83^3 + 6889 + 83 + 1) | No | |
| 220615 | 9.024242 | 1.2.32 | 32.2.1 (32*83^2 + 2*83 + 1) | No | |
| 179281 | 9.024242 | 1.2.26 | 26.2.1 (26*83^2 + 2*83 + 1) | Yes | |
| 0 | 10.000000 | 0 | 0 (0) | No | |
| -15804592244 | 11.012048 | -2.0.58.1.1.4 | -4.1.1.58.0.2 (-(4*83^5 + 47458321 + 571787 + 58*83^2 + 2)) | No | |
| -15798399116 | 11.012048 | -2.1.72.73.0.4 | -4.0.73.72.1.2 (-(4*83^5 + 73*83^3 + 72*83^2 + 83 + 2)) | No | |
| 589 | 12.000000 | 8.7 | 7.8 (7*83 + 8) | No | |
| -4092150 | 12.000000 | -1.1.13.7 | -7.13.1.1 (-(7*83^3 + 13*83^2 + 83 + 1)) | No | |
| -15804771525 | 12.000000 | -3.2.1.2.1.4 | -4.1.2.1.2.3 (-(4*83^5 + 47458321 + 2*83^3 + 6889 + 2*83 + 3)) | No | |
| 3507506 | 12.000000 | 9.12.11.6 | 6.11.12.9 (6*83^3 + 11*83^2 + 12*83 + 9) | No |
These are the training products that have the "FINAL SALE" tag (processing sequence 6375). 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 |
|---|---|---|---|---|---|---|---|
| 26854 | Tribal Open Pants | 7515983 | none | 7336702 | BOTTOMS, CLEARANCE | ||
| 21516 | Aeotec WallMote; 2 Button ZW129 - Final Sale | 3507506 | AEOTEC | 3328225 | none | ||
| 24478 | Evo Sports Bra | 3437695 | none | 3258414 | none | ||
| 26848 | Star Face Mask | 220615 | none | 41334 | CLEARANCE | ||
| 10655 | Large Silk Print Scarf Lava Party | 179281 | none | 0 | none | ||
| 21487 | 4 Pack Smart Product Grab Bag | 589 | none | -178692 | none | ||
| 29194 | Calíope Maxi Belted Dress | 0 | MAXI DRESS | -179281 | none | ||
| 24844 | Tie Dye Infinity Halter Dress | 0 | DRESSES | -179281 | none | ||
| 28069 | Kleo Mini Dress | 0 | WAREHOUSE | -179281 | ONLINE | ||
| 26857 | Hunt Faux Leather Crop Top | -4092150 | CROP TOPS, ALL TOPS | -4271431 | CLEARANCE | ||
| 10658 | Tracee Pants in Houndstooth Tencel | -15798399116 | PRINTS | -15798578397 | BOTTOMS | ||
| 10649 | Large Silk Print Scarf Houndstooth | -15804592244 | PRINTS | -15804771525 | none | ||
| 10656 | Cass Dress in Houndstooth Silk | -15804771525 | DRESS, PRINTS | -15804950806 | none |