Fold 1 - Understanding why coefficient 653 was selected
Tag: 33 INCH
Selected Coefficient: 653
Taxonomy Path: 14.9
Taxonomy Name: Home & Garden > Household Appliances
Products with this tag: 5
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? |
|---|---|---|---|---|---|
| 653 | 1.028169 | 14.9 | 9.14 (9*71 + 14) | Home & Garden > Household Appliances | Yes |
| 795 | 1.028367 | 14.11 | 11.14 (11*71 + 14) | Home & Garden > Kitchen & Dining | No |
| 13994611 | 1.028367 | 14.11.7.39 | 39.7.11.14 (39*71^3 + 7*71^2 + 11*71 + 14) | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | No |
| -2928098 | 4.000000 | -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 "33 INCH" tag (processing sequence 297). 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 |
|---|---|---|---|---|---|---|---|
| 9812 | ZLINE 6695-304-34 34".Stainless Steel Outdoor Ducted Range Hood Insert | 13994611 | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | none | 13993958 | none | |
| 10009 | LaToscana LTD3319W 33" White Double-Bowl Reversible Apron Front Fireclay Sink | 795 | Home & Garden > Kitchen & Dining | none | 142 | FIRECLAY SINKS | |
| 9808 | ZLINE 695 34" Stainless Steel Ducted Range Hood Insert | 653 | Home & Garden > Household Appliances | none | 0 | none | |
| 9811 | ZLINE 695-304-46 46".Stainless Steel Outdoor Ducted Range Hood Insert | 653 | Home & Garden > Household Appliances | none | 0 | none | |
| 10011 | LaToscana LFS3318W 33" White Reversible Apron Front Fireclay Sink | -2928098 | WHITE | -2928751 | FIRECLAY SINKS |