Fold 0 - Understanding why coefficient -14193 was selected
Tag: HIGH BACK CHAIRS
Selected Coefficient: -14193
Taxonomy Path: -0.5.2
Taxonomy Name:
Products with this tag: 8
Unique residual values tried: 7
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? |
|---|---|---|---|---|---|
| -14193 | 5.012193 | -0.5.2 | -2.5.0 (-(2*83^2 + 5*83)) | Yes | |
| 564483 | 5.012193 | 0.78.81 | 81.78.0 (81*83^2 + 78*83) | No | |
| 14193 | 5.024096 | 0.5.2 | 2.5.0 (2*83^2 + 5*83) | No | |
| -591 | 6.000000 | -10.7 | -7.10 (-(7*83 + 10)) | No | |
| -15375 | 6.012048 | -20.19.2 | -2.19.20 (-(2*83^2 + 19*83 + 20)) | No | |
| -1182 | 6.012048 | -20.14 | -14.20 (-(14*83 + 20)) | No | |
| 591 | 7.000000 | 10.7 | 7.10 (7*83 + 10) | Furniture > Chairs | No |
These are the training products that have the "HIGH BACK CHAIRS" tag (processing sequence 4504). 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 | 564483 | HEIGHT ADJUSTABLE ARMS | 578676 | none | ||
| 6309 | Racer Slim High Back Designer Mesh Armchair - Black ET | 14193 | TILT LOCK | 28386 | FIXED ARMS | ||
| 6329 | Fercula 24 Hour Executive Mesh Back Chair (Headrest Optional) MW | 591 | Furniture > Chairs | none | 14784 | Furniture > Office Furniture > Office Chairs | none |
| 6312 | Seedoo High Back Mesh Synchronous Executive Armchair with Adjustable Headrest and Chrome Base ET | -591 | HEIGHT ADJUSTABLE ARMS, TILT LOCK | 13602 | none | ||
| 6317 | Vantage Fabric Operator Chair | -591 | HEIGHT ADJUSTABLE ARMS, TILT LOCK | 13602 | FIXED ARMS | ||
| 6313 | Shar High Back Mesh Synchronous Executive Armchair with Adjustable Headrest And Chrome Base - Black ET | -1182 | EXECUTIVE CHAIRS, HEIGHT ADJUSTABLE ARMS, TILT LOCK | 13011 | ERGONOMIC CHAIRS | ||
| 6299 | Aztek High Back Synchronous Mesh Designer Executive Chair with Adjustable Headrest and Chrome Base - Black ET | -14193 | HEIGHT ADJUSTABLE ARMS | 0 | ERGONOMIC CHAIRS | ||
| 6310 | Rocket Ergonomic Luxury High Back Executive Mesh Chair with Chrome Base Certified for 24 Hour Use - Black ET | -15375 | EXECUTIVE CHAIRS, HEIGHT ADJUSTABLE ARMS, TILT LOCK | -1182 | ERGONOMIC CHAIRS |