Fold 3 - Understanding why coefficient 1800075 was selected
Tag: BOX HARDWARE
Selected Coefficient: 1800075
Taxonomy Path: 12.6.2.5
Taxonomy Name: Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles
Products with this tag: 11
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? |
|---|---|---|---|---|---|
| 1800075 | 0.028968 | 12.6.2.5 | 5.2.6.12 (5*71^3 + 2*71^2 + 6*71 + 12) | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | Yes |
| 10520 | 0.028971 | 12.6.2 | 2.6.12 (2*71^2 + 6*71 + 12) | Hardware > Hardware Accessories > Cabinet Hardware | No |
| 5479 | 0.029161 | 12.6.1 | 1.6.12 (5041 + 6*71 + 12) | Hardware > Hardware Accessories > Brackets & Reinforcement Braces | No |
| 1810370 | 0.126761 | 12.9.4.5 | 5.4.9.12 (5*71^3 + 4*71^2 + 9*71 + 12) | Hardware > Locks & Keys > Locks & Latches > Latches | No |
These are the training products that have the "BOX HARDWARE" tag (processing sequence 518). 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") | 1810370 | Hardware > Locks & Keys > Locks & Latches > Latches | none | 10295 | none | |
| 4685 | Single Hook Chest Box Latch Lock 2" | 1810370 | Hardware > Locks & Keys > Locks & Latches > Latches | none | 10295 | none | |
| 4783 | Inlay Box Pulls 3" - Set of 2 | 1800075 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | none | 0 | none | |
| 4767 | Creativity Box Drawer Pulls 3-1/6" - Set of 2 | 1800075 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | none | 0 | none | |
| 4779 | Hanging Flower Handle Pulls 3" - Set of 2 | 1800075 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | none | 0 | none | |
| 4695 | Three Sides Brass Corner Plate Hardware 1.5" - Set of 2 | 10520 | Hardware > Hardware Accessories > Cabinet Hardware | none | -1789555 | CORNERS | |
| 4688 | Ocean Wave Brass Corner Hardware 1.9" - Set of 2 | 10520 | Hardware > Hardware Accessories > Cabinet Hardware | none | -1789555 | CORNERS | |
| 4696 | Swallow Tail Corner Plate 4.5" x 4.5" - Set of 2 | 5479 | Hardware > Hardware Accessories > Brackets & Reinforcement Braces | none | -1794596 | CORNERS | |
| 4700 | Triple Circle Round Corner Plate 3.25" - Set of 2 | 5479 | Hardware > Hardware Accessories > Brackets & Reinforcement Braces | none | -1794596 | CORNERS | |
| 4687 | Curled Box Corner Plate 3.3" - Set of 2 | 5479 | Hardware > Hardware Accessories > Brackets & Reinforcement Braces | none | -1794596 | CORNERS | |
| 4692 | Ocean Wave Corner 2" - Set of 2 | 5479 | Hardware > Hardware Accessories > Brackets & Reinforcement Braces | none | -1794596 | CORNERS |