Fold 3 - Understanding why coefficient -3286804 was selected
Tag: MAXI DRESSES
Selected Coefficient: -3286804
Taxonomy Path: -1.1.13.9
Taxonomy Name:
Products with this tag: 5
Unique residual values tried: 5
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? |
|---|---|---|---|---|---|
| -3286804 | 3.000003 | -1.1.13.9 | -9.13.1.1 (-(9*71^3 + 13*71^2 + 71 + 1)) | Yes | |
| -423516 | 3.000003 | -1.1.13.1 | -1.13.1.1 (-(357911 + 13*71^2 + 71 + 1)) | No | |
| -3307040 | 4.000000 | -2.2.17.9 | -9.17.2.2 (-(9*71^3 + 17*71^2 + 2*71 + 2)) | No | |
| -3266568 | 4.000000 | -0.0.9.9 | -9.9.0.0 (-(9*71^3 + 9*71^2)) | No | |
| 2186929 | 4.000000 | 58.58.7.6 | 6.7.58.58 (6*71^3 + 7*71^2 + 58*71 + 58) | No |
These are the training products that have the "MAXI DRESSES" tag (processing sequence 987). 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 |
|---|---|---|---|---|---|---|---|
| 994 | Kristen -Navy | 2186929 | NAVY, BEST DRESS, BOHEMIAN STYLE, ELEGANT DRESSES | 5473733 | none | ||
| 1002 | Lysette Maxi | -423516 | FREE PEOPLE DRESSES, FREE PEOPLEWE THE FREE | 2863288 | CHOCOLATE | ||
| 899 | Doris | -3266568 | CAMI NYC, COLORFUL DRESSES, ELEGANT DRESSES, LIGHT WIEHT DRESSES | 20236 | Apparel & Accessories > Clothing > Dresses | SILK | |
| 924 | Fleur | -3286804 | BEST DRESS, CAMI NYC, COLORFUL DRESSES, ELEGANT DRESSES, LIGHT WIEHT DRESSES | 0 | none | ||
| 961 | Hazy Maisy Maxi | -3307040 | COLORFUL DRESSES, FREE PEOPLE DRESSES, LIGHT WIEHT DRESSES | -20236 | none |