Fold 0 - Understanding why coefficient 563 was selected
Tag: MESH CHAIRS
Selected Coefficient: 563
Taxonomy Path: 10.7
Taxonomy Name: Furniture > Chairs
Products with this tag: 12
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? |
|---|---|---|---|---|---|
| 563 | 6.025477 | 10.7 | 7.10 (7*79 + 10) | Furniture > Chairs | Yes |
| 499843 | 6.025797 | 10.7.1.1 | 1.1.7.10 (493039 + 6241 + 7*79 + 10) | Furniture > Chairs > Armchairs, Recliners & Sleeper Chairs > Armchairs | No |
| 13440 | 6.050633 | 10.12.2 | 2.12.10 (2*79^2 + 12*79 + 10) | Furniture > Office Furniture > Office Chairs | No |
| 0 | 8.012658 | 0 | 0 (0) | No | |
| -12877 | 8.037975 | -0.5.2 | -2.5.0 (-(2*79^2 + 5*79)) | No | |
| -13440 | 10.012658 | -10.12.2 | -2.12.10 (-(2*79^2 + 12*79 + 10)) | No | |
| -563 | 10.012658 | -10.7 | -7.10 (-(7*79 + 10)) | No |
These are the training products that have the "MESH CHAIRS" tag (processing sequence 2908). 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 |
|---|---|---|---|---|---|---|---|
| 6303 | Halo Medium Mesh Back Task Operator Armchair with Chrome Base ET | 499843 | Furniture > Chairs > Armchairs, Recliners & Sleeper Chairs > Armchairs | none | 499280 | none | |
| 6311 | Rover Mesh Back Task Operator Armchair with Chrome Base - Black ET | 13440 | Furniture > Office Furniture > Office Chairs | none | 12877 | none | |
| 6309 | Racer Slim High Back Designer Mesh Armchair - Black ET | 13440 | Furniture > Office Furniture > Office Chairs | none | 12877 | none | |
| 6314 | Slinger Medium Mesh Back Operator Chair ET | 563 | Furniture > Chairs | none | 0 | none | |
| 6307 | Pulse II Executive Medium Back Mesh Chair with AIRFLOW Fabric on the Seat ET | 563 | Furniture > Chairs | none | 0 | none | |
| 6316 | Storm Medium Back Mesh Chair with Contoured Back and Upholstered Black Fabric Seat with Waterfall Front - Black ET | 563 | Furniture > Chairs | none | 0 | none | |
| 6318 | Wave Mesh Operator Chair | 0 | HEIGHT ADJUSTABLE ARMS | -563 | none | ||
| 6306 | Pillar Black Mesh Operator Office Chair With Headrest | 0 | ADJUSTABLE LUMBAR, EXECUTIVE CHAIRS | -563 | none | ||
| 6312 | Seedoo High Back Mesh Synchronous Executive Armchair with Adjustable Headrest and Chrome Base ET | 0 | HEIGHT ADJUSTABLE ARMS | -563 | none | ||
| 6313 | Shar High Back Mesh Synchronous Executive Armchair with Adjustable Headrest And Chrome Base - Black ET | -563 | HEIGHT ADJUSTABLE ARMS, ADJUSTABLE LUMBAR, EXECUTIVE CHAIRS | -1126 | none | ||
| 6299 | Aztek High Back Synchronous Mesh Designer Executive Chair with Adjustable Headrest and Chrome Base - Black ET | -12877 | HEIGHT ADJUSTABLE ARMS | -13440 | none | ||
| 6310 | Rocket Ergonomic Luxury High Back Executive Mesh Chair with Chrome Base Certified for 24 Hour Use - Black ET | -13440 | HEIGHT ADJUSTABLE ARMS, ADJUSTABLE LUMBAR, EXECUTIVE CHAIRS | -14003 | none |