Fold 0 - Understanding why coefficient -20454 was selected
Tag: APPLE
Selected Coefficient: -20454
Taxonomy Path: -6.4.4
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? |
|---|---|---|---|---|---|
| -20454 | 2.000198 | -6.4.4 | -4.4.6 (-(4*71^2 + 4*71 + 6)) | Yes | |
| -5331 | 2.000198 | -6.4.1 | -1.4.6 (-(5041 + 4*71 + 6)) | No | |
| 0 | 3.000000 | 0 | 0 (0) | No | |
| 5903 | 3.000000 | 10.12.1 | 1.12.10 (5041 + 12*71 + 10) | Furniture > Office Furniture > Desks | No |
These are the training products that have the "APPLE" tag (processing sequence 2526). 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 |
|---|---|---|---|---|---|---|---|
| 6220 | Solid Oak Accent Desk | 5903 | Furniture > Office Furniture > Desks | none | 26357 | none | |
| 8380 | Apple P. - ADV BLENDZ | 0 | ALL30MLPRODUCTS, BF2021LIQUIDS | 20454 | none | ||
| 4144 | Item006: Apple Microprocessor Pendant - PowerPC, Motorola, PowerMac, PPC750 | -5331 | PENDANT, MICROPROCESSOR, MEMORY | 15123 | none | ||
| 4086 | Item034: Apple Microprocessor Pendant - PowerPC, IBM, Canada, PPC750 | -20454 | PENDANT, MICROPROCESSOR, MEMORY | 0 | none |