Fold 0 - Understanding why coefficient 1450 was selected
Tag: 40 INCH
Selected Coefficient: 1450
Taxonomy Path: 28.18
Taxonomy Name:
Products with this tag: 5
Unique residual values tried: 5
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? |
|---|---|---|---|---|---|
| 1450 | 3.000160 | 28.18 | 18.28 (18*79 + 28) | Yes | |
| 158766249 | 3.000160 | 28.18.1.6.4 | 4.6.1.18.28 (4*79^4 + 6*79^3 + 6241 + 18*79 + 28) | No | |
| 0 | 4.000000 | 0 | 0 (0) | No | |
| 2175 | 4.000000 | 42.27 | 27.42 (27*79 + 42) | No | |
| 19273091 | 4.000000 | 14.11.7.39 | 39.7.11.14 (39*79^3 + 7*79^2 + 11*79 + 14) | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | No |
These are the training products that have the "40 INCH" tag (processing sequence 2651). 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 |
|---|---|---|---|---|---|---|---|
| 10024 | XtremeAir SP01-I 42" Stainless Steel Island Mount Range Hood | 158766249 | 42" RANGE HOODS | 158764799 | STAINLESS STEEL RANGE HOODS, RANGE HOOD - STAINLESS STEEL, ISLAND RANGE HOODS | ||
| 9809 | ZLINE 695-RD 40" Stainless Steel Remote Dual Blower Range Hood Insert | 19273091 | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | STAFF PICKS, TOP RATED | 19271641 | INSERT RANGE HOODS, STAINLESS STEEL RANGE HOODS | |
| 9940 | KOBE Brillia ISX21 SQB-2 42" Stainless Steel 680 CFM Island Range Hood | 2175 | TOP RATED, 42" RANGE HOODS | 725 | Home & Garden > Household Appliances | STAINLESS STEEL RANGE HOODS, RANGE HOOD - STAINLESS STEEL, ISLAND RANGE HOODS | |
| 9949 | XtremeAir Pro-X Series PX06-I 42" Stainless Steel Island Range Hood | 1450 | 42" RANGE HOODS | 0 | STAINLESS STEEL RANGE HOODS, RANGE HOOD - STAINLESS STEEL, ISLAND RANGE HOODS | ||
| 9799 | ZLINE 695 40" Stainless Steel Ducted Range Hood Insert | 0 | RANGE HOOD INSERTS | -1450 | INSERT RANGE HOODS, STAINLESS STEEL RANGE HOODS |