Fold 3 - Understanding why coefficient 250 was selected
Tag: BABIES
Selected Coefficient: 250
Taxonomy Path: 13.3
Taxonomy Name: Health & Beauty > Personal Care
Products with this tag: 6
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? |
|---|---|---|---|---|---|
| 250 | 4.000160 | 13.3 | 3.13 (3*79 + 13) | Health & Beauty > Personal Care | Yes |
| 123322410 | 4.000160 | 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 |
| -8488007 | 5.000000 | -10.3.17.17 | -17.17.3.10 (-(17*79^3 + 17*79^2 + 3*79 + 10)) | No | |
| -2040816 | 5.000000 | -9.0.11.4 | -4.11.0.9 (-(4*79^3 + 11*79^2 + 9)) | No | |
| 0 | 5.000000 | 0 | 0 (0) | No | |
| 591509423 | 5.000000 | 4.78.56.14.15 | 15.14.56.78.4 (15*79^4 + 14*79^3 + 56*79^2 + 78*79 + 4) | No |
These are the training products that have the "BABIES" tag (processing sequence 732). 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 |
|---|---|---|---|---|---|---|---|
| 3181 | Ultimate Life Natural Vitamin E Cream | 591509423 | ACNE, ALL AGES, ANTI-AGEING | 591509173 | BEAUTY, BODY, DERMATITIS, INFANTS | ||
| 3101 | Global Soap Shampoo Bars | 123322410 | Health & Beauty > Personal Care > Hair Care > Shampoo & Conditioner > Shampoo | none | 123322160 | BATHROOM, CAMPING, CLEANSE, ECONOMICAL, HAIR CARE, SOAP BAR | |
| 3098 | Global Soap Detox Skin Bar | 250 | Health & Beauty > Personal Care | none | 0 | BATHROOM, CLEANSE, ECONOMICAL, SOAP BAR | |
| 3081 | Absolute Essential Birth Essentials - Set of 3 Essential Oils (Organic) | 0 | ORGANIC | -250 | BACK PAIN | ||
| 3078 | Absolute Essential Baby & Child: Tummy Blend (Organic) | -2040816 | ORGANIC | -2041066 | BODY OIL, CHILDREN'S, GAS | ||
| 3075 | Absolute Essential Baby Oil: Rose & Chamomile | -8488007 | ORGANIC, ROSE | -8488257 | BODY OIL, CHILDREN'S, INFANTS, NEWBORNS |