Fold 2 - Understanding why coefficient 250 was selected
Tag: ECZEMA SOAP
Selected Coefficient: 250
Taxonomy Path: 13.3
Taxonomy Name: Health & Beauty > Personal Care
Products with this tag: 7
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? |
|---|---|---|---|---|---|
| 250 | 3.000320 | 13.3 | 3.13 (3*79 + 13) | Health & Beauty > Personal Care | Yes |
| 10441443 | 3.000481 | 13.3.14.21 | 21.14.3.13 (21*79^3 + 14*79^2 + 3*79 + 13) | Health & Beauty > Personal Care > Shaving & Grooming > Shaving Soap | No |
| 123322410 | 3.000481 | 13.3.10.13.3 | 3.13.10.3.13 (3*79^4 + 13*79^3 + 10*79^2 + 3*79 + 13) | Health & Beauty > Personal Care > Hair Care > Shampoo & Conditioner > Shampoo | No |
| 0 | 5.000000 | 0 | 0 (0) | No | |
| -1235969 | 6.000000 | -14.3.40.2 | -2.40.3.14 (-(2*79^3 + 40*79^2 + 3*79 + 14)) | No |
These are the training products that have the "ECZEMA SOAP" tag (processing sequence 3518). 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 |
|---|---|---|---|---|---|---|---|
| 6914 | 20% Pine Tar Soap with Tallow | 123322410 | Health & Beauty > Personal Care > Hair Care > Shampoo & Conditioner > Shampoo | none | 123322160 | NATURAL SKINCARE/SHOP BY SKIN CONCERN/SEBORRHEIC DERMATITIS, NATURAL SKINCARE/SHOP BY SKIN CONCERN/DANDRUFF | |
| 6916 | Grass Fed Tallow Soap | 10441443 | Health & Beauty > Personal Care > Shaving & Grooming > Shaving Soap | none | 10441193 | none | |
| 11474 | Coconut and Sunflower Oil Soap Bar | 250 | Health & Beauty > Personal Care | none | 0 | none | |
| 6600 | Tallow Bar Soap with Zinc | 250 | Health & Beauty > Personal Care | none | 0 | none | |
| 11469 | Chinese Herbal Eczema Bundle | 0 | NATURAL SKINCARE/STARTER KITS & GIFTS | -250 | NATURAL SKINCARE/SHOP BY SKIN CONCERN/CRADLE CAP, NATURAL SKINCARE/SHOP BY SKIN CONCERN/SEBORRHEIC DERMATITIS, NATURAL SKINCARE/SHOP BY SKIN CONCERN/DANDRUFF | ||
| 11470 | Tallow Skincare Bundle | 0 | NATURAL SKINCARE/STARTER KITS & GIFTS | -250 | NATURAL SKINCARE/SHOP BY SKIN CONCERN/SEBORRHEIC DERMATITIS, NATURAL SKINCARE/SHOP BY SKIN CONCERN/DANDRUFF | ||
| 11495 | Eczema Face Moisturizer & Cleanser Kit | -1235969 | NATURAL SKINCARE/STARTER KITS & GIFTS, GIFT SETS | -1236219 | none |