Fold 1 - Understanding why coefficient 27640 was selected
Tag: SHORT-LENGTH
Selected Coefficient: 27640
Taxonomy Path: 1.1.4
Taxonomy Name:
Products with this tag: 4
Unique residual values tried: 4
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? |
|---|---|---|---|---|---|
| 27640 | 2.000145 | 1.1.4 | 4.1.1 (4*83^2 + 83 + 1) | Yes | |
| 1191881 | 2.000145 | 1.1.7.2 | 2.7.1.1 (2*83^3 + 7*83^2 + 83 + 1) | No | |
| -1191881 | 3.000000 | -1.1.7.2 | -2.7.1.1 (-(2*83^3 + 7*83^2 + 83 + 1)) | No | |
| 0 | 3.000000 | 0 | 0 (0) | No |
These are the training products that have the "SHORT-LENGTH" tag (processing sequence 3092). 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 |
|---|---|---|---|---|---|---|---|
| 24190 | Blue Maternity Midi Dress | 1191881 | none | 1164241 | none | ||
| 24074 | Maternity White Lace Dress | 27640 | none | 0 | none | ||
| 23917 | Maternity Lace Dress | 0 | COTTONMIXDRESSES | -27640 | none | ||
| 23925 | Maternity Mint Green Cotton Dress | -1191881 | COTTONMIXDRESSES, COTTON-DRESSES | -1219521 | none |