Ample completions of OMs and CUOMs.
2020
This paper considers completions of COMs (complexes oriented matroids) to ample partial cubes of the same VC-dimension. We show that these exist for OMs (oriented matroids) and CUOMs (complexes of uniform oriented matroids). This implies that OMs and CUOMs satisfy the sample compression conjecture -- one of the central open questions of learning theory. We conjecture that every COM can be completed to an ample partial cube without increasing the VC-dimension.
- Correction
- Source
- Cite
- Save
- Machine Reading By IdeaReader
29
References
1
Citations
NaN
KQI