Fold 4 - Understanding why coefficient 563 was selected
Tag: ADJUSTABLE HEADREST
Selected Coefficient: 563
Taxonomy Path: 10.7
Taxonomy Name: Furniture > Chairs
Products with this tag: 5
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? |
|---|---|---|---|---|---|
| 563 | 0.012658 | 10.7 | 7.10 (7*79 + 10) | Furniture > Chairs | Yes |
| 13440 | 0.050633 | 10.12.2 | 2.12.10 (2*79^2 + 12*79 + 10) | Furniture > Office Furniture > Office Chairs | No |
These are the training products that have the "ADJUSTABLE HEADREST" tag (processing sequence 2113). 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 |
|---|---|---|---|---|---|---|---|
| 6313 | Shar High Back Mesh Synchronous Executive Armchair with Adjustable Headrest And Chrome Base - Black ET | 13440 | Furniture > Office Furniture > Office Chairs | none | 12877 | HEIGHT ADJUSTABLE ARMS, ADJUSTABLE LUMBAR | |
| 6286 | Nebula Mesh Back Task Chair with Headrest | 563 | Furniture > Chairs | none | 0 | HEIGHT ADJUSTABLE, ADJUSTABLE LUMBAR | |
| 6299 | Aztek High Back Synchronous Mesh Designer Executive Chair with Adjustable Headrest and Chrome Base - Black ET | 563 | Furniture > Chairs | none | 0 | HEIGHT ADJUSTABLE ARMS | |
| 6306 | Pillar Black Mesh Operator Office Chair With Headrest | 563 | Furniture > Chairs | none | 0 | HEIGHT ADJUSTABLE, ADJUSTABLE LUMBAR | |
| 6308 | Pulse High Back Mesh Chair with Headrest and Chrome Base Black ET | 563 | Furniture > Chairs | none | 0 | HEIGHT ADJUSTABLE ARMS |