Fold 2 - Understanding why coefficient 20815 was selected
Tag: LOCKS
Selected Coefficient: 20815
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? |
|---|---|---|---|---|---|
| 20815 | 0.000003 | 12.9.4 | 4.9.12 (4*71^2 + 9*71 + 12) | Hardware > Locks & Keys > Locks & Latches | Yes |
| 1810370 | 0.000008 | 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 "LOCKS" tag (processing sequence 961). 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 | 1810370 | Hardware > Locks & Keys > Locks & Latches > Latches | none | 1789555 | none | |
| 4898 | Traditional Chinese Brass Door Chest Cabinet Hardware Key Lock, 3.4" | 20815 | Hardware > Locks & Keys > Locks & Latches | none | 0 | none | |
| 4899 | Chinese Vintage Padlock Brass Hardware Antique Old Style Lock and Key 3.7" | 20815 | Hardware > Locks & Keys > Locks & Latches | none | 0 | none | |
| 4900 | Puzzle Combination Lock 3" | 20815 | Hardware > Locks & Keys > Locks & Latches | none | 0 | none |