Fold 1 - Understanding why coefficient -2928751 was selected
Tag: FIRECLAY SINKS
Selected Coefficient: -2928751
Taxonomy Path: -1.70.12.8
Taxonomy Name:
Products with this tag: 10
Unique residual values tried: 3
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? |
|---|---|---|---|---|---|
| -2928751 | 3.000000 | -1.70.12.8 | -8.12.70.1 (-(8*71^3 + 12*71^2 + 70*71 + 1)) | Yes | |
| 142 | 8.000000 | 0.2 | 2.0 (2*71) | No | |
| -2928098 | 9.000000 | -58.60.12.8 | -8.12.60.58 (-(8*71^3 + 12*71^2 + 60*71 + 58)) | No |
These are the training products that have the "FIRECLAY SINKS" tag (processing sequence 1187). 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 |
|---|---|---|---|---|---|---|---|
| 9869 | Latoscana LFS3018SF 30" Silver Flax Reversible Apron Front Fireclay Sink | 142 | 30 INCH | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | |
| 10009 | LaToscana LTD3319W 33" White Double-Bowl Reversible Apron Front Fireclay Sink | 142 | 33 INCH | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | |
| 9893 | Latoscana LNR2418W 24" White Reversible Apron Front Fireclay Sink | -2928098 | WHITE | 653 | Home & Garden > Household Appliances | none | |
| 9892 | Latoscana LTW2718W 27" White Reversible Apron Front Fireclay Sink | -2928751 | WHITE, 24 INCH | 0 | none | ||
| 10011 | LaToscana LFS3318W 33" White Reversible Apron Front Fireclay Sink | -2928751 | WHITE, 33 INCH | 0 | none | ||
| 10012 | Latoscana LTW3619W 36" White Reversible Apron Front Fireclay Sink | -2928751 | WHITE, 36 INCH | 0 | none | ||
| 9868 | Latoscana LTW3019W 30" White Reversible Apron Front Fireclay Sink | -2928751 | WHITE, 30 INCH | 0 | none | ||
| 10015 | Latoscana LUM3019W 30'' White Single Bowl Undermount or Drop-in Fireclay Sink | -2928751 | WHITE, 30 INCH | 0 | none | ||
| 9870 | Latoscana LFS3018W 30" White Reversible Apron Front Fireclay Sink | -2928751 | WHITE, 30 INCH | 0 | none | ||
| 9891 | Latoscana LUM2719W 26" White Undermount or Drop-in Fireclay Sink | -2928751 | WHITE, 24 INCH | 0 | none |