Fold 0 - Understanding why coefficient 18975 was selected
Tag: BATH AND BEAUTY
Selected Coefficient: 18975
Taxonomy Path: 15.3.3
Taxonomy Name: Luggage & Bags > Cosmetic & Toiletry Bags > Makeup Bags
Products with this tag: 5
Unique residual values tried: 4
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? |
|---|---|---|---|---|---|
| 18975 | 2.000160 | 15.3.3 | 3.3.15 (3*79^2 + 3*79 + 15) | Luggage & Bags > Cosmetic & Toiletry Bags > Makeup Bags | Yes |
| 25216 | 2.000320 | 15.3.4 | 4.3.15 (4*79^2 + 3*79 + 15) | Luggage & Bags > Cosmetic & Toiletry Bags > Toiletry Bags | No |
| 68901 | 3.000160 | 13.3.11 | 11.3.13 (11*79^2 + 3*79 + 13) | Health & Beauty > Personal Care > Massage & Relaxation | No |
| 586904 | 3.000160 | 13.3.15.1 | 1.15.3.13 (493039 + 15*79^2 + 3*79 + 13) | Health & Beauty > Personal Care > Sleeping Aids > Eye Masks | No |
These are the training products that have the "BATH AND BEAUTY" tag (processing sequence 3626). 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 | 567929 | none | |
| 18098 | You're a Star Bath Bomb | 68901 | Health & Beauty > Personal Care > Massage & Relaxation | none | 49926 | none | |
| 17880 | Gentlemen's Toiletry Bag | 25216 | Luggage & Bags > Cosmetic & Toiletry Bags > Toiletry Bags | none | 6241 | BOY GIFT, BAGS AND TOTES | |
| 17788 | Beauty Case - Flower Bloom | 18975 | Luggage & Bags > Cosmetic & Toiletry Bags > Makeup Bags | none | 0 | BAGS AND TOTES | |
| 18070 | Make Up Bag - Vogue | 18975 | Luggage & Bags > Cosmetic & Toiletry Bags > Makeup Bags | none | 0 | BAGS AND TOTES |