Fold 0 - Understanding why coefficient -499843 was selected
Tag: HIGH BACK CHAIRS
Selected Coefficient: -499843
Taxonomy Path: -10.7.1.1
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? |
|---|---|---|---|---|---|
| -499843 | 4.025316 | -10.7.1.1 | -1.1.7.10 (-(493039 + 6241 + 7*79 + 10)) | Yes | |
| -13440 | 4.025477 | -10.12.2 | -2.12.10 (-(2*79^2 + 12*79 + 10)) | No | |
| 485840 | 4.025477 | 69.66.77 | 77.66.69 (77*79^2 + 66*79 + 69) | No | |
| 563 | 7.000000 | 10.7 | 7.10 (7*79 + 10) | Furniture > Chairs | No |
| -486403 | 7.000000 | -0.74.77 | -77.74.0 (-(77*79^2 + 74*79)) | No | |
| -500406 | 7.000000 | -20.14.1.1 | -1.1.14.20 (-(493039 + 6241 + 14*79 + 20)) | No | |
| -513846 | 7.000000 | -30.26.3.1 | -1.3.26.30 (-(493039 + 3*79^2 + 26*79 + 30)) | No |
These are the training products that have the "HIGH BACK CHAIRS" tag (processing sequence 3004). 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 | 485840 | ADJUSTABLE HEADREST, HEIGHT ADJUSTABLE ARMS | 985683 | none | ||
| 6329 | Fercula 24 Hour Executive Mesh Back Chair (Headrest Optional) MW | 563 | Furniture > Chairs | none | 500406 | none | |
| 6299 | Aztek High Back Synchronous Mesh Designer Executive Chair with Adjustable Headrest and Chrome Base - Black ET | -13440 | ADJUSTABLE HEADREST, HEIGHT ADJUSTABLE ARMS | 486403 | none | ||
| 6309 | Racer Slim High Back Designer Mesh Armchair - Black ET | -486403 | TILT LOCK | 13440 | Furniture > Office Furniture > Office Chairs | none | |
| 6317 | Vantage Fabric Operator Chair | -499843 | HEIGHT ADJUSTABLE ARMS, TILT LOCK | 0 | none | ||
| 6304 | Kiwi High Back Mesh Synchronous Executive Armchair with Integral Headrest - Black ET | -499843 | HEIGHT ADJUSTABLE ARMS, TILT LOCK | 0 | none | ||
| 6312 | Seedoo High Back Mesh Synchronous Executive Armchair with Adjustable Headrest and Chrome Base ET | -500406 | ADJUSTABLE HEADREST, HEIGHT ADJUSTABLE ARMS, TILT LOCK | -563 | none | ||
| 6310 | Rocket Ergonomic Luxury High Back Executive Mesh Chair with Chrome Base Certified for 24 Hour Use - Black ET | -513846 | EXECUTIVE CHAIRS, ADJUSTABLE HEADREST, HEIGHT ADJUSTABLE ARMS, TILT LOCK | -14003 | none |