Fold 0 - Understanding why coefficient 250 was selected
Tag: FACE & BODY CLEANSERS
Selected Coefficient: 250
Taxonomy Path: 13.3
Taxonomy Name: Health & Beauty > Personal Care
Products with this tag: 7
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? |
|---|---|---|---|---|---|
| 250 | 1.000481 | 13.3 | 3.13 (3*79 + 13) | Health & Beauty > Personal Care | Yes |
| 238150569 | 1.000483 | 13.3.2.9.6 | 6.9.2.3.13 (6*79^4 + 9*79^3 + 2*79^2 + 3*79 + 13) | Health & Beauty > Personal Care > Cosmetics > Skin Care > Facial Cleansers | No |
| 39455852 | 1.000485 | 13.3.2.1.1 | 1.1.2.3.13 (38950081 + 493039 + 2*79^2 + 3*79 + 13) | Health & Beauty > Personal Care > Cosmetics > Bath & Body > Bar Soap | No |
| -505771 | 6.000000 | -13.3.2.1 | -1.2.3.13 (-(493039 + 2*79^2 + 3*79 + 13)) | No |
These are the training products that have the "FACE & BODY CLEANSERS" tag (processing sequence 2805). 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 |
|---|---|---|---|---|---|---|---|
| 2136 | Moroccan "BELDI" Black Soap - Monoi - 8 oz | 238150569 | Health & Beauty > Personal Care > Cosmetics > Skin Care > Facial Cleansers | none | 238150319 | none | |
| 2120 | Moroccan "BELDI" Black Soap - Argan Oil - 8 oz | 238150569 | Health & Beauty > Personal Care > Cosmetics > Skin Care > Facial Cleansers | none | 238150319 | none | |
| 2114 | Moroccan "BELDI" Black Soap Argan Oil - 5 Kilo | 39455852 | Health & Beauty > Personal Care > Cosmetics > Bath & Body > Bar Soap | none | 39455602 | none | |
| 2119 | Moroccan "BELDI" Black Soap - Amber Musk - 16 oz Value Size | 250 | Health & Beauty > Personal Care | none | 0 | none | |
| 2115 | Moroccan "BELDI" Black Soap - Lavender - 8 oz | 250 | Health & Beauty > Personal Care | none | 0 | none | |
| 2122 | Moroccan "BELDI" Black Soap Eucalyptus - 8 oz | 250 | Health & Beauty > Personal Care | none | 0 | none | |
| 2082 | African Black Soap - with Argan Oil - 16 oz | -505771 | COCOA BUTTER, SHEA BUTTER | -506021 | none |