Fold 3 - Understanding why coefficient 2478163 was selected
Tag: BOX HARDWARE
Selected Coefficient: 2478163
Taxonomy Path: 12.6.2.5
Taxonomy Name: Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles
Products with this tag: 13
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? |
|---|---|---|---|---|---|
| 2478163 | 0.038780 | 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 | Yes |
| 12968 | 0.038782 | 12.6.2 | 2.6.12 (2*79^2 + 6*79 + 12) | Hardware > Hardware Accessories > Cabinet Hardware | No |
| 6727 | 0.038936 | 12.6.1 | 1.6.12 (6241 + 6*79 + 12) | Hardware > Hardware Accessories > Brackets & Reinforcement Braces | No |
| 87860 | 0.039417 | 12.6.14 | 14.6.12 (14*79^2 + 6*79 + 12) | Hardware > Hardware Accessories > Hardware Fasteners | No |
| 2490882 | 0.126582 | 12.9.4.5 | 5.4.9.12 (5*79^3 + 4*79^2 + 9*79 + 12) | Hardware > Locks & Keys > Locks & Latches > Latches | No |
These are the training products that have the "BOX HARDWARE" tag (processing sequence 852). 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 |
|---|---|---|---|---|---|---|---|
| 4684 | Mushroom Square Chest Box Face Plate Latch (5.5"x 6.5") | 2490882 | Hardware > Locks & Keys > Locks & Latches > Latches | none | 12719 | none | |
| 4685 | Single Hook Chest Box Latch Lock 2" | 2490882 | Hardware > Locks & Keys > Locks & Latches > Latches | none | 12719 | none | |
| 4686 | Longevity Plate Chest Box Latch Decorative 4" | 2490882 | Hardware > Locks & Keys > Locks & Latches > Latches | none | 12719 | none | |
| 4783 | Inlay Box Pulls 3" - Set of 2 | 2478163 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | none | 0 | none | |
| 4767 | Creativity Box Drawer Pulls 3-1/6" - Set of 2 | 2478163 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | none | 0 | none | |
| 4779 | Hanging Flower Handle Pulls 3" - Set of 2 | 2478163 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | none | 0 | none | |
| 4691 | Ocean Moon Corners 2.6" x 2.6" - Set of 2 | 87860 | Hardware > Hardware Accessories > Hardware Fasteners | none | -2390303 | CORNERS | |
| 4695 | Three Sides Brass Corner Plate Hardware 1.5" - Set of 2 | 12968 | Hardware > Hardware Accessories > Cabinet Hardware | none | -2465195 | CORNERS | |
| 4688 | Ocean Wave Brass Corner Hardware 1.9" - Set of 2 | 12968 | Hardware > Hardware Accessories > Cabinet Hardware | none | -2465195 | CORNERS | |
| 4687 | Curled Box Corner Plate 3.3" - Set of 2 | 6727 | Hardware > Hardware Accessories > Brackets & Reinforcement Braces | none | -2471436 | CORNERS | |
| 4700 | Triple Circle Round Corner Plate 3.25" - Set of 2 | 6727 | Hardware > Hardware Accessories > Brackets & Reinforcement Braces | none | -2471436 | CORNERS | |
| 4696 | Swallow Tail Corner Plate 4.5" x 4.5" - Set of 2 | 6727 | Hardware > Hardware Accessories > Brackets & Reinforcement Braces | none | -2471436 | CORNERS | |
| 4692 | Ocean Wave Corner 2" - Set of 2 | 6727 | Hardware > Hardware Accessories > Brackets & Reinforcement Braces | none | -2471436 | CORNERS |