Fold 2 - Understanding why coefficient 8 was selected
Tag: GADGET
Selected Coefficient: 8
Taxonomy Path: 8
Taxonomy Name:
Products with this tag: 7
Unique residual values tried: 7
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? |
|---|---|---|---|---|---|
| 2342849 | 4.024096 | 8.7.8.4 | 4.8.7.8 (4*83^3 + 8*83^2 + 7*83 + 8) | No | |
| 8 | 4.024096 | 8 | 8 (8) | Yes | |
| 174 | 4.024096 | 8.2 | 2.8 (2*83 + 8) | No | |
| 48629714 | 5.012048 | 14.3.4.2.1 | 1.2.4.3.14 (47458321 + 2*83^3 + 4*83^2 + 3*83 + 14) | No | |
| 761 | 5.012048 | 14.9 | 9.14 (9*83 + 14) | No | |
| 14958 | 6.000000 | 18.14.2 | 2.14.18 (2*83^2 + 14*83 + 18) | Office Supplies > Shipping Supplies > Packing Materials | No |
| 41334 | 6.000000 | 0.0.6 | 6.0.0 (6*83^2) | No |
These are the training products that have the "GADGET" tag (processing sequence 7109). 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 |
|---|---|---|---|---|---|---|---|
| 5087 | Deluxe Scratch Off World Travel Map | 48629714 | none | 48629706 | none | ||
| 7971 | Funny 3D Kitten Cases | 2342849 | none | 2342841 | none | ||
| 28248 | Finger Strengthener Trainer | 41334 | GUITAR | 41326 | none | ||
| 5090 | Data Protection Stamp | 14958 | Office Supplies > Shipping Supplies > Packing Materials | none | 14950 | none | |
| 5077 | MOSQUITO DESTROYER LAMP | 761 | none | 753 | HEALTH | ||
| 5079 | PORTABLE ROLL UP PIANO FOR PIANISTS AND BEGINNERS | 174 | none | 166 | none | ||
| 5100 | Gesture Control Drone | 8 | none | 0 | none |