Fold 3 - Understanding why coefficient 505771 was selected
Tag: BATH & BODY
Selected Coefficient: 505771
Taxonomy Path: 13.3.2.1
Taxonomy Name: Health & Beauty > Personal Care > Cosmetics > Bath & Body
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? |
|---|---|---|---|---|---|
| 505771 | 0.000483 | 13.3.2.1 | 1.2.3.13 (493039 + 2*79^2 + 3*79 + 13) | Health & Beauty > Personal Care > Cosmetics > Bath & Body | Yes |
| 822401784 | 0.000485 | 13.3.2.9.21 | 21.9.2.3.13 (21*79^4 + 9*79^3 + 2*79^2 + 3*79 + 13) | Health & Beauty > Personal Care > Cosmetics > Skin Care > Face Serums | No |
| 250 | 0.000801 | 13.3 | 3.13 (3*79 + 13) | Health & Beauty > Personal Care | No |
| 68901 | 0.000801 | 13.3.11 | 11.3.13 (11*79^2 + 3*79 + 13) | Health & Beauty > Personal Care > Massage & Relaxation | No |
| 125070 | 0.000801 | 13.3.20 | 20.3.13 (20*79^2 + 3*79 + 13) | Health & Beauty > Personal Care > Personal Care Gift Sets & Kits | No |
These are the training products that have the "BATH & BODY" tag (processing sequence 763). 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 |
|---|---|---|---|---|---|---|---|
| 5814 | Natural Facial Serum - Moroccan Specialty | 822401784 | Health & Beauty > Personal Care > Cosmetics > Skin Care > Face Serums | none | 821896013 | none | |
| 1707 | Body Balm - Vegan & Palm Free | 505771 | Health & Beauty > Personal Care > Cosmetics > Bath & Body | none | 0 | none | |
| 10337 | Coastal Christmas Body Butter | 505771 | Health & Beauty > Personal Care > Cosmetics > Bath & Body | none | 0 | none | |
| 9293 | THE HAND TREATMENT KIT | 125070 | Health & Beauty > Personal Care > Personal Care Gift Sets & Kits | none | -380701 | DERMATITIS | |
| 1706 | Bath Salts - Scented with Essential Oils | 68901 | Health & Beauty > Personal Care > Massage & Relaxation | none | -436870 | BATHROOM, SELF CARE | |
| 5816 | Vegan Palm Free Bar Soap -Patchouli - Witchy Brew | 250 | Health & Beauty > Personal Care | none | -505521 | none |