Fold 0 - Understanding why coefficient 226 was selected
Tag: FACE & BODY CLEANSERS
Selected Coefficient: 226
Taxonomy Path: 13.3
Taxonomy Name: Health & Beauty > Personal Care
Products with this tag: 10
Unique residual values tried: 6
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? |
|---|---|---|---|---|---|
| 226 | 3.000397 | 13.3 | 3.13 (3*71 + 13) | Health & Beauty > Personal Care | Yes |
| 155701593 | 3.001190 | 13.3.2.9.6 | 6.9.2.3.13 (6*71^4 + 9*71^3 + 2*71^2 + 3*71 + 13) | Health & Beauty > Personal Care > Cosmetics > Skin Care > Facial Cleansers | No |
| 333482540 | 3.001190 | 13.3.53.8.13 | 13.8.53.3.13 (13*71^4 + 8*71^3 + 53*71^2 + 3*71 + 13) | No | |
| -100820 | 8.000198 | -0.0.20 | -20.0.0 (-(20*71^2)) | No | |
| 0 | 8.000198 | 0 | 0 (0) | No | |
| 333583586 | 9.000000 | 26.6.2.9.13 | 13.9.2.6.26 (13*71^4 + 9*71^3 + 2*71^2 + 6*71 + 26) | No |
These are the training products that have the "FACE & BODY CLEANSERS" tag (processing sequence 729). 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 |
|---|---|---|---|---|---|---|---|
| 2081 | African Black Soap - Hand packed - 1 lb | 333583586 | BREAKOUTS/BLEMISHES | 333583360 | Health & Beauty > Personal Care > Cosmetics > Skin Care > Skin Care Masks & Peels | none | |
| 2082 | African Black Soap - with Argan Oil - 16 oz | 333482540 | ARGAN OIL, BREAKOUTS/BLEMISHES | 333482314 | none | ||
| 2136 | Moroccan "BELDI" Black Soap - Monoi - 8 oz | 155701593 | Health & Beauty > Personal Care > Cosmetics > Skin Care > Facial Cleansers | none | 155701367 | none | |
| 2115 | Moroccan "BELDI" Black Soap - Lavender - 8 oz | 226 | Health & Beauty > Personal Care | none | 0 | none | |
| 2118 | Moroccan "BELDI" Black Soap Amber Musk - 8 oz | 226 | Health & Beauty > Personal Care | none | 0 | none | |
| 2119 | Moroccan "BELDI" Black Soap - Amber Musk - 16 oz Value Size | 226 | Health & Beauty > Personal Care | none | 0 | none | |
| 2117 | Moroccan "BELDI" Black Soap - Vanilla -8 oz | 226 | Health & Beauty > Personal Care | none | 0 | none | |
| 2135 | Moroccan "Beldi" Black Soap Lavender - 16 oz Value Size | 226 | Health & Beauty > Personal Care | none | 0 | none | |
| 2122 | Moroccan "BELDI" Black Soap Eucalyptus - 8 oz | 0 | EUCALYPTUS | -226 | none | ||
| 2121 | Moroccan "Beldi" Black Soap - Argan - 16 oz Value Size | -100820 | ARGAN OIL | -101046 | none |