Fold 1 - Understanding why coefficient 653 was selected
Tag: 24 INCH
Selected Coefficient: 653
Taxonomy Path: 14.9
Taxonomy Name: Home & Garden > Household Appliances
Products with this tag: 8
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? |
|---|---|---|---|---|---|
| 653 | 4.000397 | 14.9 | 9.14 (9*71 + 14) | Home & Garden > Household Appliances | Yes |
| 5694 | 4.000400 | 14.9.1 | 1.9.14 (5041 + 9*71 + 14) | Home & Garden > Household Appliances > Climate Control Appliances | No |
| 103799884 | 4.000400 | 14.9.1.6.4 | 4.6.1.9.14 (4*71^4 + 6*71^3 + 5041 + 9*71 + 14) | Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fans | No |
| -2928098 | 4.028169 | -58.60.12.8 | -8.12.60.58 (-(8*71^3 + 12*71^2 + 60*71 + 58)) | No | |
| -2928240 | 4.028367 | -58.62.12.8 | -8.12.62.58 (-(8*71^3 + 12*71^2 + 62*71 + 58)) | No | |
| -2923199 | 4.028367 | -58.62.11.8 | -8.11.62.58 (-(8*71^3 + 11*71^2 + 62*71 + 58)) | No |
These are the training products that have the "24 INCH" tag (processing sequence 284). 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 | 103799884 | Home & Garden > Household Appliances > Climate Control Appliances > Fans > Ventilation Fans | none | 103799231 | none | |
| 10017 | Cosmo COS-24BIWCS 24" Stainless Steel 48-Bottle Wine Cooler | 5694 | Home & Garden > Household Appliances > Climate Control Appliances | none | 5041 | none | |
| 10027 | Thor Kitchen HRE2401 24" Stainless Steel Professional Electric Range | 653 | Home & Garden > Household Appliances | none | 0 | none | |
| 9947 | Cosmo COS-244AGC 24" Stainless Steel Freestanding Compact Gas Range | 653 | Home & Garden > Household Appliances | none | 0 | none | |
| 9903 | Summit SWC532BLBIST 24" Black 46 Bottles Built-In Wine Cooler | -2923199 | BLACK | -2923852 | none | ||
| 9891 | Latoscana LUM2719W 26" White Undermount or Drop-in Fireclay Sink | -2928098 | WHITE | -2928751 | FIRECLAY SINKS | ||
| 9892 | Latoscana LTW2718W 27" White Reversible Apron Front Fireclay Sink | -2928098 | WHITE | -2928751 | FIRECLAY SINKS | ||
| 10034 | Summit DW243BADA 24" Black Built-In Dishwasher ADA Compliant | -2928240 | BLACK | -2928893 | none |