Fold 3 - Understanding why coefficient 324783 was selected
Tag: IMPERIAL
Selected Coefficient: 324783
Taxonomy Path: 14.3.52
Taxonomy Name: Home & Garden > Decor > Picture Frames
Products with this tag: 7
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? |
|---|---|---|---|---|---|
| 324783 | 0.012818 | 14.3.52 | 52.3.14 (52*79^2 + 3*79 + 14) | Home & Garden > Decor > Picture Frames | Yes |
| 131312 | 0.013459 | 14.3.21 | 21.3.14 (21*79^2 + 3*79 + 14) | Home & Garden > Decor > Decorative Bowls | No |
| 4007605 | 0.075949 | 14.11.10.8 | 8.10.11.14 (8*79^3 + 10*79^2 + 11*79 + 14) | Home & Garden > Kitchen & Dining > Tableware > Serveware Accessories | No |
These are the training products that have the "IMPERIAL" tag (processing sequence 1729). 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 |
|---|---|---|---|---|---|---|---|
| 9783 | ALC Imperial Filigree Napkin Clip One | 4007605 | Home & Garden > Kitchen & Dining > Tableware > Serveware Accessories | none | 3682822 | none | |
| 9645 | ALC Imperial Filigree 4 x 6 Lotus Flower Picture Frame | 324783 | Home & Garden > Decor > Picture Frames | none | 0 | none | |
| 9646 | ALC Imperial Filigree 4 x 6 Picture Frame | 324783 | Home & Garden > Decor > Picture Frames | none | 0 | none | |
| 9644 | ALC Imperial Filigree 5 x 7 Lotus Flower Picture Frame | 324783 | Home & Garden > Decor > Picture Frames | none | 0 | none | |
| 9784 | ALC 5 in x 7 in Imperial Filigree Picture Frame | 324783 | Home & Garden > Decor > Picture Frames | none | 0 | none | |
| 9794 | ALC Imperial 5 x 7 Picture Frame | 324783 | Home & Garden > Decor > Picture Frames | none | 0 | none | |
| 9795 | ALC Imperial 7 X 11 Rectangle Bowl | 131312 | Home & Garden > Decor > Decorative Bowls | none | -193471 | none |