Fold 2 - Understanding why coefficient 18249 was selected
Tag: BATH AND BEAUTY
Selected Coefficient: 18249
Taxonomy Path: 0.73.2
Taxonomy Name:
Products with this tag: 6
Unique residual values tried: 5
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? |
|---|---|---|---|---|---|
| 18249 | 4.000000 | 0.73.2 | 2.73.0 (2*79^2 + 73*79) | Yes | |
| 68901 | 4.000160 | 13.3.11 | 11.3.13 (11*79^2 + 3*79 + 13) | Health & Beauty > Personal Care > Massage & Relaxation | No |
| 586904 | 4.000160 | 13.3.15.1 | 1.15.3.13 (493039 + 15*79^2 + 3*79 + 13) | Health & Beauty > Personal Care > Sleeping Aids > Eye Masks | No |
| -2889752 | 5.000000 | -11.2.68.5 | -5.68.2.11 (-(5*79^3 + 68*79^2 + 2*79 + 11)) | No | |
| -1998155 | 5.000000 | -8.13.4.4 | -4.4.13.8 (-(4*79^3 + 4*79^2 + 13*79 + 8)) | No |
These are the training products that have the "BATH AND BEAUTY" tag (processing sequence 3971). 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 | 586904 | Health & Beauty > Personal Care > Sleeping Aids > Eye Masks | none | 568655 | none | |
| 18098 | You're a Star Bath Bomb | 68901 | Health & Beauty > Personal Care > Massage & Relaxation | none | 50652 | none | |
| 17788 | Beauty Case - Flower Bloom | 18249 | BAGS AND TOTES | 0 | none | ||
| 18070 | Make Up Bag - Vogue | 18249 | BAGS AND TOTES | 0 | none | ||
| 17880 | Gentlemen's Toiletry Bag | -1998155 | BOY OTHER, BAGS AND TOTES | -2016404 | none | ||
| 17773 | Make Your Own Soothing Clay Mask - Coconut Milk and Oatmeal | -2889752 | GIFTS TO MAKE | -2908001 | none |