Fold 1 - 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: 5
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 | 2.012818 | 10.7 | 7.10 (7*79 + 10) | Furniture > Chairs | Yes |
| 499843 | 2.012818 | 10.7.1.1 | 1.1.7.10 (493039 + 6241 + 7*79 + 10) | Furniture > Chairs > Armchairs, Recliners & Sleeper Chairs > Armchairs | No |
| 13440 | 2.025316 | 10.12.2 | 2.12.10 (2*79^2 + 12*79 + 10) | Furniture > Office Furniture > Office Chairs | No |
| -563 | 4.000000 | -10.7 | -7.10 (-(7*79 + 10)) | No | |
| 0 | 4.000000 | 0 | 0 (0) | No |
These are the training products that have the "ADJUSTABLE HEADREST" tag (processing sequence 2573). 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 |
|---|---|---|---|---|---|---|---|
| 6315 | Space High Back Mesh Synchronous Executive Armchair with Adjustable Lumbar Support, Arms, Headrest and Chrome Base - Black ET | 499843 | Furniture > Chairs > Armchairs, Recliners & Sleeper Chairs > Armchairs | none | 499280 | HEIGHT ADJUSTABLE ARMS, ADJUSTABLE LUMBAR | |
| 6312 | Seedoo High Back Mesh Synchronous Executive Armchair with Adjustable Headrest and Chrome Base ET | 13440 | Furniture > Office Furniture > Office Chairs | none | 12877 | HEIGHT ADJUSTABLE ARMS, TILT LOCK | |
| 6308 | Pulse High Back Mesh Chair with Headrest and Chrome Base Black ET | 563 | Furniture > Chairs | none | 0 | HEIGHT ADJUSTABLE ARMS, TILT LOCK | |
| 6299 | Aztek High Back Synchronous Mesh Designer Executive Chair with Adjustable Headrest and Chrome Base - Black ET | 0 | ERGONOMIC CHAIRS | -563 | HEIGHT ADJUSTABLE ARMS | ||
| 6310 | Rocket Ergonomic Luxury High Back Executive Mesh Chair with Chrome Base Certified for 24 Hour Use - Black ET | -563 | EXECUTIVE CHAIRS, ERGONOMIC CHAIRS | -1126 | HEIGHT ADJUSTABLE ARMS, TILT LOCK, ADJUSTABLE LUMBAR |