Fold 0 - Understanding why coefficient -5997681 was selected
Tag: GREEN PATTERN
Selected Coefficient: -5997681
Taxonomy Path: -1.1.13.12
Taxonomy Name:
Products with this tag: 5
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? |
|---|---|---|---|---|---|
| -5997681 | 2.000000 | -1.1.13.12 | -12.13.1.1 (-(12*79^3 + 13*79^2 + 79 + 1)) | Yes | |
| -5897666 | 4.000000 | -0.78.75.11 | -11.75.78.0 (-(11*79^3 + 75*79^2 + 78*79)) | No | |
| 100015 | 4.000000 | 1.2.16 | 16.2.1 (16*79^2 + 2*79 + 1) | Apparel & Accessories > Clothing Accessories > Handkerchiefs | No |
These are the training products that have the "GREEN PATTERN" tag (processing sequence 1606). 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 |
|---|---|---|---|---|---|---|---|
| 14279 | Beaver Pocket Square - Dark Beaver | 100015 | Apparel & Accessories > Clothing Accessories > Handkerchiefs | none | 6097696 | PRINTED POCKET SQ | |
| 14277 | Buoy Pocket Square - Port & Starboard | -5897666 | NAVY | 100015 | Apparel & Accessories > Clothing Accessories > Handkerchiefs | PRINTED POCKET SQ | |
| 14371 | Flamingo Bow Tie - Turquoise on Navy, Woven Silk | -5997681 | WOVEN SILK, NAVY | 0 | none | ||
| 14391 | Flamingo Bow Tie - Pink on Navy, Woven Silk | -5997681 | WOVEN SILK, NAVY | 0 | none | ||
| 14397 | Deer Bow Tie - Navy, Buck Head, Woven Silk | -5997681 | WOVEN SILK, NAVY | 0 | none |