Fold 4 - Understanding why coefficient 1157862 was selected
Tag: CABINET FACE PLATES
Selected Coefficient: 1157862
Taxonomy Path: 12.6.2.2
Taxonomy Name: Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Backplates
Products with this tag: 24
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? |
|---|---|---|---|---|---|
| 1157862 | 0.072296 | 12.6.2.2 | 2.2.6.12 (2*83^3 + 2*83^2 + 6*83 + 12) | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Backplates | Yes |
| 586075 | 0.072315 | 12.6.2.1 | 1.2.6.12 (571787 + 2*83^2 + 6*83 + 12) | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet & Furniture Keyhole Escutcheons | No |
| 2873223 | 0.072319 | 12.6.2.5 | 5.2.6.12 (5*83^3 + 2*83^2 + 6*83 + 12) | No | |
| 600102 | 0.216871 | 12.9.4.1 | 1.4.9.12 (571787 + 4*83^2 + 9*83 + 12) | Hardware > Locks & Keys > Locks & Latches > Barrel Bolts | No |
| 28315 | 0.216874 | 12.9.4 | 4.9.12 (4*83^2 + 9*83 + 12) | Hardware > Locks & Keys > Locks & Latches | No |
These are the training products that have the "CABINET FACE PLATES" tag (processing sequence 4132). 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 |
|---|---|---|---|---|---|---|---|
| 4785 | Square in Square Plate - Set of 2 | 2873223 | none | 1715361 | none | ||
| 4903 | Bountiful Harvest Cabinet Face Plate | 1157862 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Backplates | none | 0 | none | |
| 4637 | Peony Flower Cabinet Face Plate 9.5" | 1157862 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Backplates | none | 0 | none | |
| 4640 | Tibetan Cabinet Face Plate 5-1/2" | 1157862 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Backplates | none | 0 | none | |
| 4664 | Flowering Lotus Cabinet Face Plate 9.8" | 1157862 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Backplates | none | 0 | none | |
| 4667 | Classic Round Cabinet Face Plate 6.2" | 1157862 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Backplates | none | 0 | none | |
| 4668 | Classic Round Cabinet Face Plate 8.6" | 1157862 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Backplates | none | 0 | none | |
| 4673 | Happiness Character Cabinet Face Plate 9.6" | 1157862 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Backplates | none | 0 | none | |
| 4674 | Flapping Butterfly Face Plate Set w/ Pulls | 1157862 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Backplates | none | 0 | none | |
| 4675 | Butterfly Cabinet Face Plate 11" x 16" | 1157862 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Backplates | none | 0 | none | |
| 4901 | Six Horses Cabinet Face Plate | 1157862 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Backplates | none | 0 | none | |
| 4624 | Fat Cabinet Face Plate 7.9" | 1157862 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Backplates | none | 0 | none | |
| 4631 | Six Horses Cabinet Face Plate 5.5" | 1157862 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Backplates | none | 0 | none | |
| 4633 | Mountain Scenery Cabinet Face Plate 5.5" | 1157862 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Backplates | none | 0 | none | |
| 4636 | Bountiful Harvest Cabinet Face Plate 9-1/2" | 1157862 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Backplates | none | 0 | none | |
| 4621 | Bamboo Curve Cabinet Face Plate 5.5" x 6" | 600102 | Hardware > Locks & Keys > Locks & Latches > Barrel Bolts | none | -557760 | none | |
| 4670 | Button and Zipper Cabinet Face Plate 6.25" | 600102 | Hardware > Locks & Keys > Locks & Latches > Barrel Bolts | none | -557760 | none | |
| 4671 | Button and Zipper Cabinet Face Plate 9-1/2" | 600102 | Hardware > Locks & Keys > Locks & Latches > Barrel Bolts | none | -557760 | none | |
| 4704 | Button and Zipper Cabinet Face Plate 12.5" | 600102 | Hardware > Locks & Keys > Locks & Latches > Barrel Bolts | none | -557760 | none | |
| 4672 | Flower Vine Cabinet Face Plate 9.5" | 586075 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet & Furniture Keyhole Escutcheons | none | -571787 | none | |
| 4666 | Classic Round Cabinet Face Plate 4" | 586075 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet & Furniture Keyhole Escutcheons | none | -571787 | none | |
| 4620 | Giant Banquet Face Plate 13.75" | 586075 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet & Furniture Keyhole Escutcheons | none | -571787 | none | |
| 4634 | Mountain Scenery Cabinet Face Plate 9-1/2" | 28315 | Hardware > Locks & Keys > Locks & Latches | none | -1129547 | none | |
| 4619 | Good Fortune Cabinet Face Plate 8.6" | 28315 | Hardware > Locks & Keys > Locks & Latches | none | -1129547 | none |