Fold 4 - Understanding why coefficient 28315 was selected
Tag: LOCKS
Selected Coefficient: 28315
Taxonomy Path: 12.9.4
Taxonomy Name: Hardware > Locks & Keys > Locks & Latches
Products with this tag: 4
Unique residual values tried: 2
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? |
|---|---|---|---|---|---|
| 28315 | 0.000002 | 12.9.4 | 4.9.12 (4*83^2 + 9*83 + 12) | Hardware > Locks & Keys > Locks & Latches | Yes |
| 600102 | 0.000005 | 12.9.4.1 | 1.4.9.12 (571787 + 4*83^2 + 9*83 + 12) | Hardware > Locks & Keys > Locks & Latches > Barrel Bolts | No |
These are the training products that have the "LOCKS" tag (processing sequence 2989). 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 |
|---|---|---|---|---|---|---|---|
| 4862 | Lockable Slide Latch Bolt Receiver 4.75" | 600102 | Hardware > Locks & Keys > Locks & Latches > Barrel Bolts | none | 571787 | none | |
| 4896 | Celestial Sage Lock 4.5" | 28315 | Hardware > Locks & Keys > Locks & Latches | none | 0 | none | |
| 4899 | Chinese Vintage Padlock Brass Hardware Antique Old Style Lock and Key 3.7" | 28315 | Hardware > Locks & Keys > Locks & Latches | none | 0 | none | |
| 4900 | Puzzle Combination Lock 3" | 28315 | Hardware > Locks & Keys > Locks & Latches | none | 0 | none |