Fold 3 - Understanding why coefficient 252277 was selected
Tag: FRONT DOOR SIGN
Selected Coefficient: 252277
Taxonomy Path: 14.3.50
Taxonomy Name: Home & Garden > Decor > Novelty Signs
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? |
|---|---|---|---|---|---|
| 252277 | 0.000198 | 14.3.50 | 50.3.14 (50*71^2 + 3*71 + 14) | Home & Garden > Decor > Novelty Signs | Yes |
| 116170 | 0.000397 | 14.3.23 | 23.3.14 (23*71^2 + 3*71 + 14) | Home & Garden > Decor > Decorative Plaques | No |
These are the training products that have the "FRONT DOOR SIGN" tag (processing sequence 1235). 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 |
|---|---|---|---|---|---|---|---|
| 9768 | Saint Bernard Sign Funny Dog Sign No Trespassing Sign Dog Warning Sign Beware of Dog Sign Warning Sign Yard Sign Welcome Sign Decor Z-PIS230 | 252277 | Home & Garden > Decor > Novelty Signs | none | 0 | none | |
| 9865 | Tibetan Mastiff Sign Funny Dog Sign Mastiff No Trespassing Sign Dog Warning Sign Beware of Dog Sign Warning Sign Yard Sign Welcome Z-PIS235 | 252277 | Home & Garden > Decor > Novelty Signs | none | 0 | none | |
| 9657 | Personalized Gnome Sign, Buffalo Plaid Truck Gnome Fall Metal Sign, Round Gnome Signs, Autumn Pumpkin Patch Fall Gnome Decor Custom 7-FAL009 | 116170 | Home & Garden > Decor > Decorative Plaques | none | -136107 | none |