Fold 3 - Understanding why coefficient 13440 was selected
Tag: EXECUTIVE CHAIRS
Selected Coefficient: 13440
Taxonomy Path: 10.12.2
Taxonomy Name: Furniture > Office Furniture > Office Chairs
Products with this tag: 5
Unique residual values tried: 4
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? |
|---|---|---|---|---|---|
| 13440 | 2.012658 | 10.12.2 | 2.12.10 (2*79^2 + 12*79 + 10) | Furniture > Office Furniture > Office Chairs | Yes |
| 563 | 2.025316 | 10.7 | 7.10 (7*79 + 10) | Furniture > Chairs | No |
| 0 | 3.012658 | 0 | 0 (0) | No | |
| 12877 | 3.012658 | 0.5.2 | 2.5.0 (2*79^2 + 5*79) | No |
These are the training products that have the "EXECUTIVE CHAIRS" tag (processing sequence 2736). 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 |
|---|---|---|---|---|---|---|---|
| 6306 | Pillar Black Mesh Operator Office Chair With Headrest | 13440 | Furniture > Office Furniture > Office Chairs | ADJUSTABLE LUMBAR | 0 | HEIGHT ADJUSTABLE, ERGONOMIC CHAIRS | |
| 6326 | Desire Medium Executive Chair White With Arms DY | 13440 | Furniture > Office Furniture > Office Chairs | none | 0 | HEIGHT ADJUSTABLE | |
| 6313 | Shar High Back Mesh Synchronous Executive Armchair with Adjustable Headrest And Chrome Base - Black ET | 12877 | HEIGHT ADJUSTABLE ARMS, ADJUSTABLE LUMBAR | -563 | ERGONOMIC CHAIRS | ||
| 6290 | Scurro Executive Leather Task Chair | 563 | Furniture > Chairs | none | -12877 | HEIGHT ADJUSTABLE | |
| 6310 | Rocket Ergonomic Luxury High Back Executive Mesh Chair with Chrome Base Certified for 24 Hour Use - Black ET | 0 | HEIGHT ADJUSTABLE ARMS, ADJUSTABLE LUMBAR | -13440 | ERGONOMIC CHAIRS |