Fold 2 - Understanding why coefficient 100015 was selected
Tag: PRINTED POCKET SQ
Selected Coefficient: 100015
Taxonomy Path: 1.2.16
Taxonomy Name: Apparel & Accessories > Clothing Accessories > Handkerchiefs
Products with this tag: 3
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? |
|---|---|---|---|---|---|
| 100015 | 1.000000 | 1.2.16 | 16.2.1 (16*79^2 + 2*79 + 1) | Apparel & Accessories > Clothing Accessories > Handkerchiefs | Yes |
| -6883744 | 2.000000 | -0.78.75.13 | -13.75.78.0 (-(13*79^3 + 75*79^2 + 78*79)) | No |
These are the training products that have the "PRINTED POCKET SQ" tag (processing sequence 2356). 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 |
|---|---|---|---|---|---|---|---|
| 14277 | Buoy Pocket Square - Port & Starboard | 100015 | Apparel & Accessories > Clothing Accessories > Handkerchiefs | none | 0 | none | |
| 14278 | Beaver Pocket Square - Light Beaver | 100015 | Apparel & Accessories > Clothing Accessories > Handkerchiefs | none | 0 | none | |
| 14284 | Skunk Pocket Square - Green | -6883744 | GREEN | -6983759 | none |