Fold 3 - Understanding why coefficient 99950 was selected
Tag: BACKPACK
Selected Coefficient: 99950
Taxonomy Path: 15.1.16
Taxonomy Name: Luggage & Bags > Backpacks > Laptop Backpacks
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? |
|---|---|---|---|---|---|
| 99950 | 1.000160 | 15.1.16 | 16.1.15 (16*79^2 + 79 + 15) | Luggage & Bags > Backpacks > Laptop Backpacks | Yes |
| 74986 | 1.000641 | 15.1.12 | 12.1.15 (12*79^2 + 79 + 15) | Luggage & Bags > Backpacks > School Backpacks | No |
| 18883 | 5.000000 | 2.2.3 | 3.2.2 (3*79^2 + 2*79 + 2) | Animals & Pet Supplies > Pet Supplies > Dog Supplies | No |
These are the training products that have the "BACKPACK" tag (processing sequence 2325). 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 |
|---|---|---|---|---|---|---|---|
| 10490 | Men Backpack Casual Fashion Laptop Anti-theft Notebook School Bag with USB Port | 99950 | Luggage & Bags > Backpacks > Laptop Backpacks | none | 0 | BAG | |
| 11028 | Positive Light | 99950 | Luggage & Bags > Backpacks > Laptop Backpacks | none | 0 | none | |
| 11029 | Octopus Dance | 99950 | Luggage & Bags > Backpacks > Laptop Backpacks | none | 0 | none | |
| 11030 | Wisdom and Determination | 99950 | Luggage & Bags > Backpacks > Laptop Backpacks | none | 0 | none | |
| 10248 | Canvas leather mini backpack - Brown | 74986 | Luggage & Bags > Backpacks > School Backpacks | none | -24964 | none | |
| 12341 | Custom Order | 18883 | Animals & Pet Supplies > Pet Supplies > Dog Supplies | none | -81067 | BOWL, BAG |