Fold 3 - Understanding why coefficient 18819 was selected
Tag: HOLIDAY FAVORITE
Selected Coefficient: 18819
Taxonomy Path: 17.1.3
Taxonomy Name: Media > Books > Print Books
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? |
|---|---|---|---|---|---|
| 18819 | 1.000000 | 17.1.3 | 3.1.17 (3*79^2 + 79 + 17) | Media > Books > Print Books | Yes |
| -46813346 | 2.000000 | -0.74.74.15.1 | -1.15.74.74.0 (-(38950081 + 15*79^3 + 74*79^2 + 74*79)) | No |
These are the training products that have the "HOLIDAY FAVORITE" tag (processing sequence 2423). 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 |
|---|---|---|---|---|---|---|---|
| 19459 | How Not To Kill Your Houseplant by Veronica Peerless | 18819 | Media > Books > Print Books | none | 0 | none | |
| 19461 | How To Raise a Plant and Make it Love You Back by Morgan Doane and Erin Harding | 18819 | Media > Books > Print Books | none | 0 | none | |
| 19472 | Loop Gravel Hanging Planter | -46813346 | PLANTER | -46832165 | none |