Fold 0 - Understanding why coefficient 4670909 was selected
Tag: HEADBANDS
Selected Coefficient: 4670909
Taxonomy Path: 1.2.14.8
Taxonomy Name:
Products with this tag: 25
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? |
|---|---|---|---|---|---|
| 4670909 | 0.000145 | 1.2.14.8 | 8.14.2.1 (8*83^3 + 14*83^2 + 2*83 + 1) | Yes | |
| 689067 | 0.003484 | 1.2.17.1 | 1.17.2.1 (571787 + 17*83^2 + 2*83 + 1) | No |
These are the training products that have the "HEADBANDS" tag (processing sequence 2212). 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 |
|---|---|---|---|---|---|---|---|
| 33715 | Baseball Knot Headband - White | 4670909 | none | 0 | none | ||
| 24664 | Traditional Headband - Sprinkles | 4670909 | none | 0 | TRADITIONAL | ||
| 32642 | Floral Print Headband - Clear Rhinestone with Blue Flowers | 4670909 | none | 0 | none | ||
| 32643 | Floral Print Headband - Orange and Yellow Flowers | 4670909 | none | 0 | none | ||
| 32647 | Floral Print Headband - Blue Rhinestone Pink Paisley | 4670909 | none | 0 | none | ||
| 32648 | Floral Print Headband - Blue and Clear Rhinestone | 4670909 | none | 0 | none | ||
| 32650 | Headband Knot - Soccer Ball Columbia Blue | 4670909 | none | 0 | none | ||
| 32682 | Headband Knot Monochromatic - Green | 4670909 | none | 0 | none | ||
| 32683 | Headband Knot - Ivory with White Stars | 4670909 | none | 0 | none | ||
| 32684 | Headband Knot - Velvet Light Blue | 4670909 | none | 0 | none | ||
| 32685 | Headband Sequin Knot - Red | 4670909 | none | 0 | none | ||
| 32687 | Headband Knot - Orange Leopard with Black Sequin | 4670909 | none | 0 | none | ||
| 32689 | Crawfish Headband - Pink | 4670909 | none | 0 | none | ||
| 32694 | Easter Egg Headband | 4670909 | none | 0 | none | ||
| 32699 | Headband Sequin Knot - Magenta | 4670909 | none | 0 | none | ||
| 32702 | Confetti Headband - Green | 4670909 | none | 0 | none | ||
| 32704 | Mouse Headband - Red | 4670909 | none | 0 | none | ||
| 32705 | Peep Headband | 4670909 | none | 0 | none | ||
| 32709 | Crawfish Headband - White | 4670909 | none | 0 | none | ||
| 32716 | Headband Velvet Knot - Pink | 4670909 | none | 0 | none | ||
| 32717 | Headband Knot - Pink and White Striped Sequin | 4670909 | none | 0 | none | ||
| 33706 | Headband Knot - Soccer Ball | 4670909 | none | 0 | none | ||
| 33709 | Headband Knot - Pink with Sequin Butterflies | 4670909 | none | 0 | none | ||
| 33714 | Baseball Knot Headband - Red | 4670909 | none | 0 | none | ||
| 24662 | Be The Good Hat - Hot Pink | 689067 | none | -3981842 | HATS |