Fold 2 - Understanding why coefficient 563 was selected
Tag: ADJUSTABLE LUMBAR
Selected Coefficient: 563
Taxonomy Path: 10.7
Taxonomy Name: Furniture > Chairs
Products with this tag: 4
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 | 0.037975 | 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 LUMBAR" tag (processing sequence 2104). 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, EXECUTIVE CHAIRS, TILT LOCK, ERGONOMIC CHAIRS | |
| 6286 | Nebula Mesh Back Task Chair with Headrest | 563 | Furniture > Chairs | none | 0 | HEAVY DUTY | |
| 6306 | Pillar Black Mesh Operator Office Chair With Headrest | 563 | Furniture > Chairs | none | 0 | EXECUTIVE CHAIRS, TILT LOCK, ERGONOMIC CHAIRS | |
| 6310 | Rocket Ergonomic Luxury High Back Executive Mesh Chair with Chrome Base Certified for 24 Hour Use - Black ET | 563 | Furniture > Chairs | none | 0 | HEIGHT ADJUSTABLE ARMS, EXECUTIVE CHAIRS, TILT LOCK, ERGONOMIC CHAIRS |