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Learning in Riemannian Orbifolds

Machine Learning 2012-04-20 v1 Artificial Intelligence Computer Vision and Pattern Recognition

Abstract

Learning in Riemannian orbifolds is motivated by existing machine learning algorithms that directly operate on finite combinatorial structures such as point patterns, trees, and graphs. These methods, however, lack statistical justification. This contribution derives consistency results for learning problems in structured domains and thereby generalizes learning in vector spaces and manifolds.

Keywords

Cite

@article{arxiv.1204.4294,
  title  = {Learning in Riemannian Orbifolds},
  author = {Brijnesh J. Jain and Klaus Obermayer},
  journal= {arXiv preprint arXiv:1204.4294},
  year   = {2012}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1001.0921

R2 v1 2026-06-21T20:51:56.822Z