Fold 0 - Understanding why coefficient 12575 was selected
Tag: HOME ESSENTIALS
Selected Coefficient: 12575
Taxonomy Path: 14.1.2
Taxonomy Name: Home & Garden > Bathroom Accessories > Bath Mats & Rugs
Products with this tag: 2
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? |
|---|---|---|---|---|---|
| 12575 | 0.012658 | 14.1.2 | 2.1.14 (2*79^2 + 79 + 14) | Home & Garden > Bathroom Accessories > Bath Mats & Rugs | Yes |
| 4444317 | 0.012658 | 14.9.1.9 | 9.1.9.14 (9*79^3 + 6241 + 9*79 + 14) | Home & Garden > Household Appliances > Climate Control Appliances > Humidifiers | No |
These are the training products that have the "HOME ESSENTIALS" tag (processing sequence 3302). 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 |
|---|---|---|---|---|---|---|---|
| 15038 | Cool Mist Humidifiers with 2.2L Water Tank & Adjustable Nozzle | 4444317 | Home & Garden > Household Appliances > Climate Control Appliances > Humidifiers | none | 4431742 | none | |
| 14976 | Soft Shaggy Bathroom Rug | 12575 | Home & Garden > Bathroom Accessories > Bath Mats & Rugs | none | 0 | none |