Fold 3 - Understanding why coefficient -761 was selected
Tag: INSERT RANGE HOODS
Selected Coefficient: -761
Taxonomy Path: -14.9
Taxonomy Name:
Products with this tag: 4
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? |
|---|---|---|---|---|---|
| -761 | 2.012048 | -14.9 | -9.14 (-(9*83 + 14)) | Yes | |
| 22347321 | 2.012048 | 69.75.6.39 | 39.6.75.69 (39*83^3 + 6*83^2 + 75*83 + 69) | No | |
| -1522 | 3.000000 | -28.18 | -18.28 (-(18*83 + 28)) | No | |
| 22348082 | 3.000000 | 0.2.7.39 | 39.7.2.0 (39*83^3 + 7*83^2 + 2*83) | No |
These are the training products that have the "INSERT RANGE HOODS" tag (processing sequence 4826). 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 | 22348082 | RANGE HOOD INSERTS | 22348843 | Home & Garden > Kitchen & Dining > Kitchen Appliances > Range Hoods | ZLINE SALE | |
| 9809 | ZLINE 695-RD 40" Stainless Steel Remote Dual Blower Range Hood Insert | 22347321 | ZLINE, 40 INCH | 22348082 | none | ||
| 9808 | ZLINE 695 34" Stainless Steel Ducted Range Hood Insert | -761 | RANGE HOOD INSERTS, ZLINE | 0 | none | ||
| 9799 | ZLINE 695 40" Stainless Steel Ducted Range Hood Insert | -1522 | RANGE HOOD INSERTS, ZLINE, 40 INCH | -761 | none |