Fold 0 - Understanding why coefficient -4663937 was selected
Tag: HOLIDAYS
Selected Coefficient: -4663937
Taxonomy Path: -1.1.13.8
Taxonomy Name:
Products with this tag: 6
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? |
|---|---|---|---|---|---|
| -4663937 | 4.000000 | -1.1.13.8 | -8.13.1.1 (-(8*83^3 + 13*83^2 + 83 + 1)) | Yes | |
| -4036954 | 4.000145 | -0.0.5.7 | -7.5.0.0 (-(7*83^3 + 5*83^2)) | No | |
| 0 | 4.000145 | 0 | 0 (0) | No | |
| -1164160 | 5.000000 | -2.82.2.2 | -2.2.82.2 (-(2*83^3 + 2*83^2 + 82*83 + 2)) | No | |
| 190983916 | 5.000000 | 3.2.1.2.4 | 4.2.1.2.3 (4*83^4 + 2*83^3 + 6889 + 2*83 + 3) | No |
These are the training products that have the "HOLIDAYS" tag (processing sequence 6079). 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 |
|---|---|---|---|---|---|---|---|
| 32187 | Candy Corn Felt Blanks | 190983916 | none | 195647853 | none | ||
| 31904 | Texas Hearts | Red Glitter | Short Sleeve Tee | 0 | SHOP ALL | 4663937 | none | ||
| 25101 | Holiday 3D Glasses - 25/Pack | -1164160 | NOVELTIES | 3499777 | none | ||
| 25107 | EyePop 3D Holiday Gift Tags - Mixed Pack | -4036954 | CARDS | 626983 | none | ||
| 31858 | Can't Pinch This | Natural | Short Sleeve | -4663937 | SHORT-SLEEVE, SHOP ALL | 0 | none | ||
| 31875 | Love | Red Comfy Cord | Sweatshirt | -4663937 | LONG-SLEEVE, SHOP ALL | 0 | none |