Fold 1 - Understanding why coefficient 25687 was selected
Tag: LOCKS
Selected Coefficient: 25687
Taxonomy Path: 12.9.4
Taxonomy Name: Hardware > Locks & Keys > Locks & Latches
Products with this tag: 6
Unique residual values tried: 3
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? |
|---|---|---|---|---|---|
| 25687 | 0.000004 | 12.9.4 | 4.9.12 (4*79^2 + 9*79 + 12) | Hardware > Locks & Keys > Locks & Latches | Yes |
| 518726 | 0.000010 | 12.9.4.1 | 1.4.9.12 (493039 + 4*79^2 + 9*79 + 12) | Hardware > Locks & Keys > Locks & Latches > Barrel Bolts | No |
| 2490882 | 0.000010 | 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 "LOCKS" tag (processing sequence 1935). 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 |
|---|---|---|---|---|---|---|---|
| 4897 | Abundance Lock - 5-1/4"L x 1-5/8"H | 2490882 | Hardware > Locks & Keys > Locks & Latches > Latches | none | 2465195 | none | |
| 4862 | Lockable Slide Latch Bolt Receiver 4.75" | 518726 | Hardware > Locks & Keys > Locks & Latches > Barrel Bolts | none | 493039 | none | |
| 4896 | Celestial Sage Lock 4.5" | 25687 | Hardware > Locks & Keys > Locks & Latches | none | 0 | none | |
| 4898 | Traditional Chinese Brass Door Chest Cabinet Hardware Key Lock, 3.4" | 25687 | Hardware > Locks & Keys > Locks & Latches | none | 0 | none | |
| 4899 | Chinese Vintage Padlock Brass Hardware Antique Old Style Lock and Key 3.7" | 25687 | Hardware > Locks & Keys > Locks & Latches | none | 0 | none | |
| 4900 | Puzzle Combination Lock 3" | 25687 | Hardware > Locks & Keys > Locks & Latches | none | 0 | none |