Fold 0 - Understanding why coefficient 591 was selected
Tag: EXECUTIVE CHAIRS
Selected Coefficient: 591
Taxonomy Path: 10.7
Taxonomy Name: Furniture > Chairs
Products with this tag: 3
Unique residual values tried: 2
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? |
|---|---|---|---|---|---|
| 591 | 0.012048 | 10.7 | 7.10 (7*83 + 10) | Furniture > Chairs | Yes |
| 14784 | 0.024096 | 10.12.2 | 2.12.10 (2*83^2 + 12*83 + 10) | Furniture > Office Furniture > Office Chairs | No |
These are the training products that have the "EXECUTIVE CHAIRS" tag (processing sequence 3542). 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 |
|---|---|---|---|---|---|---|---|
| 6313 | Shar High Back Mesh Synchronous Executive Armchair with Adjustable Headrest And Chrome Base - Black ET | 14784 | Furniture > Office Furniture > Office Chairs | none | 14193 | HEIGHT ADJUSTABLE ARMS, TILT LOCK, HIGH BACK CHAIRS, ERGONOMIC CHAIRS | |
| 6290 | Scurro Executive Leather Task Chair | 591 | Furniture > Chairs | none | 0 | TILT LOCK, FIXED ARMS | |
| 6310 | Rocket Ergonomic Luxury High Back Executive Mesh Chair with Chrome Base Certified for 24 Hour Use - Black ET | 591 | Furniture > Chairs | none | 0 | HEIGHT ADJUSTABLE ARMS, TILT LOCK, HIGH BACK CHAIRS, ERGONOMIC CHAIRS |