Fold 1 - Understanding why coefficient 76041 was selected
Tag: BATH AND BEAUTY
Selected Coefficient: 76041
Taxonomy Path: 13.3.11
Taxonomy Name:
Products with this tag: 8
Unique residual values tried: 7
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? |
|---|---|---|---|---|---|
| 76041 | 5.000290 | 13.3.11 | 11.3.13 (11*83^2 + 3*83 + 13) | Yes | |
| 675384 | 5.000290 | 13.3.15.1 | 1.15.3.13 (571787 + 15*83^2 + 3*83 + 13) | Health & Beauty > Personal Care > Sleeping Aids > Eye Masks | No |
| 96708 | 5.000290 | 13.3.14 | 14.3.13 (14*83^2 + 3*83 + 13) | No | |
| 20169 | 6.000000 | 0.77.2 | 2.77.0 (2*83^2 + 77*83) | No | |
| -427565692 | 7.000000 | -73.81.63.0.9 | -9.0.63.81.73 (-(9*83^4 + 63*83^2 + 81*83 + 73)) | No | |
| -2246141 | 7.000000 | -78.3.77.3 | -3.77.3.78 (-(3*83^3 + 77*83^2 + 3*83 + 78)) | No | |
| -2315791 | 7.000000 | -8.13.4.4 | -4.4.13.8 (-(4*83^3 + 4*83^2 + 13*83 + 8)) | No |
These are the training products that have the "BATH AND BEAUTY" tag (processing sequence 6622). 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 |
|---|---|---|---|---|---|---|---|
| 17753 | Luxe Satin Sleeping Mask - Berry | 675384 | Health & Beauty > Personal Care > Sleeping Aids > Eye Masks | none | 599343 | none | |
| 18135 | Face Scrubber Holder | 96708 | none | 20667 | none | ||
| 18098 | You're a Star Bath Bomb | 76041 | none | 0 | none | ||
| 18070 | Make Up Bag - Vogue | 20169 | BAGS AND TOTES | -55872 | none | ||
| 17788 | Beauty Case - Flower Bloom | 20169 | BAGS AND TOTES | -55872 | none | ||
| 18145 | Shower Caddy for Boys | -2246141 | BOY OTHER | -2322182 | none | ||
| 17880 | Gentlemen's Toiletry Bag | -2315791 | BOY OTHER, BAGS AND TOTES | -2391832 | none | ||
| 17773 | Make Your Own Soothing Clay Mask - Coconut Milk and Oatmeal | -427565692 | GIFTS TO MAKE | -427641733 | none |