Fold 3 - Understanding why coefficient -563 was selected
Tag: ERGONOMIC CHAIRS
Selected Coefficient: -563
Taxonomy Path: -10.7
Taxonomy Name:
Products with this tag: 4
Unique residual values tried: 3
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 | 1.012658 | -10.7 | -7.10 (-(7*79 + 10)) | Yes | |
| -13440 | 1.025316 | -10.12.2 | -2.12.10 (-(2*79^2 + 12*79 + 10)) | No | |
| 0 | 3.000000 | 0 | 0 (0) | No |
These are the training products that have the "ERGONOMIC CHAIRS" tag (processing sequence 3009). 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 |
|---|---|---|---|---|---|---|---|
| 6318 | Wave Mesh Operator Chair | 0 | HEIGHT ADJUSTABLE ARMS | 563 | Furniture > Chairs | none | |
| 6306 | Pillar Black Mesh Operator Office Chair With Headrest | -563 | ADJUSTABLE LUMBAR, EXECUTIVE CHAIRS, HEIGHT ADJUSTABLE | 0 | 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 | 0 | 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 | -12877 | none |