Fold 0 - Understanding why coefficient 999046 was selected
Tag: CABINET FACE PLATES
Selected Coefficient: 999046
Taxonomy Path: 12.6.2.2
Taxonomy Name: Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Backplates
Products with this tag: 28
Unique residual values tried: 6
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? |
|---|---|---|---|---|---|
| 999046 | 0.126592 | 12.6.2.2 | 2.2.6.12 (2*79^3 + 2*79^2 + 6*79 + 12) | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Backplates | Yes |
| 506007 | 0.126611 | 12.6.2.1 | 1.2.6.12 (493039 + 2*79^2 + 6*79 + 12) | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet & Furniture Keyhole Escutcheons | No |
| 2478163 | 0.126617 | 12.6.2.5 | 5.2.6.12 (5*79^3 + 2*79^2 + 6*79 + 12) | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | No |
| 25687 | 0.228016 | 12.9.4 | 4.9.12 (4*79^2 + 9*79 + 12) | Hardware > Locks & Keys > Locks & Latches | No |
| 518726 | 0.228018 | 12.9.4.1 | 1.4.9.12 (493039 + 4*79^2 + 9*79 + 12) | Hardware > Locks & Keys > Locks & Latches > Barrel Bolts | No |
| 723 | 0.229290 | 12.9 | 9.12 (9*79 + 12) | Hardware > Locks & Keys | No |
These are the training products that have the "CABINET FACE PLATES" tag (processing sequence 907). 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 | 2478163 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | none | 1479117 | none | |
| 4668 | Classic Round Cabinet Face Plate 8.6" | 999046 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Backplates | none | 0 | none | |
| 4669 | Classic Round Cabinet Face Plate 11" | 999046 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Backplates | none | 0 | none | |
| 4624 | Fat Cabinet Face Plate 7.9" | 999046 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Backplates | none | 0 | none | |
| 4631 | Six Horses Cabinet Face Plate 5.5" | 999046 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Backplates | none | 0 | none | |
| 4903 | Bountiful Harvest Cabinet Face Plate | 999046 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Backplates | none | 0 | none | |
| 4633 | Mountain Scenery Cabinet Face Plate 5.5" | 999046 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Backplates | none | 0 | none | |
| 4667 | Classic Round Cabinet Face Plate 6.2" | 999046 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Backplates | none | 0 | none | |
| 4637 | Peony Flower Cabinet Face Plate 9.5" | 999046 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Backplates | none | 0 | none | |
| 4674 | Flapping Butterfly Face Plate Set w/ Pulls | 999046 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Backplates | none | 0 | none | |
| 4673 | Happiness Character Cabinet Face Plate 9.6" | 999046 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Backplates | none | 0 | none | |
| 4665 | Fish & Dragon Cabinet Face Plate 9" | 999046 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Backplates | none | 0 | none | |
| 4635 | Bountiful Harvest Cabinet Face Plate 5.5" | 999046 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Backplates | none | 0 | none | |
| 4636 | Bountiful Harvest Cabinet Face Plate 9-1/2" | 999046 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Backplates | none | 0 | none | |
| 4623 | Bamboo Curve Cabinet Plate 10" x 12" | 518726 | Hardware > Locks & Keys > Locks & Latches > Barrel Bolts | none | -480320 | none | |
| 4621 | Bamboo Curve Cabinet Face Plate 5.5" x 6" | 518726 | Hardware > Locks & Keys > Locks & Latches > Barrel Bolts | none | -480320 | none | |
| 4622 | Bamboo Curve Cabinet Plate 8" x 10" | 518726 | Hardware > Locks & Keys > Locks & Latches > Barrel Bolts | none | -480320 | none | |
| 4670 | Button and Zipper Cabinet Face Plate 6.25" | 518726 | Hardware > Locks & Keys > Locks & Latches > Barrel Bolts | none | -480320 | none | |
| 4662 | Flower Pot Cabinet Face Plate 5.5" | 506007 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet & Furniture Keyhole Escutcheons | none | -493039 | none | |
| 4663 | China Flower Pot Cabinet Face Plate 9.75" | 506007 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet & Furniture Keyhole Escutcheons | none | -493039 | none | |
| 4666 | Classic Round Cabinet Face Plate 4" | 506007 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet & Furniture Keyhole Escutcheons | none | -493039 | none | |
| 4672 | Flower Vine Cabinet Face Plate 9.5" | 506007 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet & Furniture Keyhole Escutcheons | none | -493039 | none | |
| 4632 | Six Horses Cabinet Face Plate 9-1/2" | 25687 | Hardware > Locks & Keys > Locks & Latches | none | -973359 | none | |
| 4639 | Blessings for Long Life Cabinet Face Plate 9.5" | 25687 | Hardware > Locks & Keys > Locks & Latches | none | -973359 | none | |
| 4638 | Blessings for Long Life Cabinet Face Plate 5.5" | 25687 | Hardware > Locks & Keys > Locks & Latches | none | -973359 | none | |
| 4634 | Mountain Scenery Cabinet Face Plate 9-1/2" | 25687 | Hardware > Locks & Keys > Locks & Latches | none | -973359 | none | |
| 4619 | Good Fortune Cabinet Face Plate 8.6" | 25687 | Hardware > Locks & Keys > Locks & Latches | none | -973359 | none | |
| 4902 | Mountain Scenery Cabinet Face Plate | 723 | Hardware > Locks & Keys | none | -998323 | none |