Fold 1 - Understanding why coefficient 4444317 was selected
Tag: ESSENTIAL OILS
Selected Coefficient: 4444317
Taxonomy Path: 14.9.1.9
Taxonomy Name: Home & Garden > Household Appliances > Climate Control Appliances > Humidifiers
Products with this tag: 3
Unique residual values tried: 2
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? |
|---|---|---|---|---|---|
| 4444317 | 1.000000 | 14.9.1.9 | 9.1.9.14 (9*79^3 + 6241 + 9*79 + 14) | Home & Garden > Household Appliances > Climate Control Appliances > Humidifiers | Yes |
| 197764900 | 2.000000 | 13.1.9.6.5 | 5.6.9.1.13 (5*79^4 + 6*79^3 + 9*79^2 + 79 + 13) | Health & Beauty > Health Care > Fitness & Nutrition > Vitamins & Supplements > Herbal Supplements | No |
These are the training products that have the "ESSENTIAL OILS" tag (processing sequence 2517). 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 |
|---|---|---|---|---|---|---|---|
| 17166 | doTERRA | Green Mandarin | 197764900 | Health & Beauty > Health Care > Fitness & Nutrition > Vitamins & Supplements > Herbal Supplements | DOTERRA, AROMATHERAPY | 193320583 | none | |
| 13729 | Mercura Aromatherapy Diffuser | 4444317 | Home & Garden > Household Appliances > Climate Control Appliances > Humidifiers | none | 0 | none | |
| 13735 | Chi Ceramic Aromatherapy Diffuser | 4444317 | Home & Garden > Household Appliances > Climate Control Appliances > Humidifiers | none | 0 | none |