English

Deterministic Conditions for Subspace Identifiability from Incomplete Sampling

Machine Learning 2016-02-22 v3 Machine Learning Combinatorics

Abstract

Consider a generic rr-dimensional subspace of Rd\mathbb{R}^d, r<dr<d, and suppose that we are only given projections of this subspace onto small subsets of the canonical coordinates. The paper establishes necessary and sufficient deterministic conditions on the subsets for subspace identifiability.

Cite

@article{arxiv.1410.0633,
  title  = {Deterministic Conditions for Subspace Identifiability from Incomplete Sampling},
  author = {Daniel L. Pimentel-Alarcón and Robert D. Nowak and Nigel Boston},
  journal= {arXiv preprint arXiv:1410.0633},
  year   = {2016}
}

Comments

To appear in Proc. of IEEE ISIT, 2015

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