Fold 4 - Understanding why coefficient 725 was selected
Tag: 24 INCH
Selected Coefficient: 725
Taxonomy Path: 14.9
Taxonomy Name: Home & Garden > Household Appliances
Products with this tag: 7
Unique residual values tried: 4
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? |
|---|---|---|---|---|---|
| 725 | 3.000320 | 14.9 | 9.14 (9*79 + 14) | Home & Garden > Household Appliances | Yes |
| 6966 | 3.000322 | 14.9.1 | 1.9.14 (6241 + 9*79 + 14) | Home & Garden > Household Appliances > Climate Control Appliances | No |
| 158765524 | 3.000322 | 14.9.1.6.4 | 4.6.1.9.14 (4*79^4 + 6*79^3 + 6241 + 9*79 + 14) | Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fans | No |
| 0 | 4.000000 | 0 | 0 (0) | No |
These are the training products that have the "24 INCH" tag (processing sequence 3543). 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 |
|---|---|---|---|---|---|---|---|
| 10005 | Summit SEH6624C 24" Wide Stainless Steel Wall-Mounted Range Hood | 158765524 | Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fans | none | 158764799 | none | |
| 10017 | Cosmo COS-24BIWCS 24" Stainless Steel 48-Bottle Wine Cooler | 6966 | Home & Garden > Household Appliances > Climate Control Appliances | none | 6241 | none | |
| 10006 | Summit SEH1524 24" Wide Stainless Steel Wall-Mounted Range Hood | 725 | Home & Garden > Household Appliances | none | 0 | none | |
| 10034 | Summit DW243BADA 24" Black Built-In Dishwasher ADA Compliant | 725 | Home & Garden > Household Appliances | none | 0 | none | |
| 10007 | Summit REX2421WRT 24" White Wide Electric Smooth-Top Range | 0 | FREESTANDING RANGES | -725 | none | ||
| 9892 | Latoscana LTW2718W 27" White Reversible Apron Front Fireclay Sink | 0 | FIRECLAY SINKS | -725 | none | ||
| 9891 | Latoscana LUM2719W 26" White Undermount or Drop-in Fireclay Sink | 0 | FIRECLAY SINKS | -725 | none |