Fold 0 - 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: 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? |
|---|---|---|---|---|---|
| 99950 | 1.000000 | 15.1.16 | 16.1.15 (16*79^2 + 79 + 15) | Luggage & Bags > Backpacks > Laptop Backpacks | Yes |
| -1466621 | 3.000000 | -65.78.76.2 | -2.76.78.65 (-(2*79^3 + 76*79^2 + 78*79 + 65)) | No |
These are the training products that have the "BACKPACK" tag (processing sequence 3264). 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 |
|---|---|---|---|---|---|---|---|
| 11027 | White Raven Nest | 99950 | Luggage & Bags > Backpacks > Laptop Backpacks | none | 0 | none | |
| 11028 | Positive Light | 99950 | Luggage & Bags > Backpacks > Laptop Backpacks | none | 0 | none | |
| 11030 | Wisdom and Determination | 99950 | Luggage & Bags > Backpacks > Laptop Backpacks | none | 0 | none | |
| 10490 | Men Backpack Casual Fashion Laptop Anti-theft Notebook School Bag with USB Port | -1466621 | FASHION | -1566571 | none |