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A Geometric Analysis of Subspace Clustering with Outliers
Subspace clustering spectral clustering outlier detection `1 minimization duality in linear programming geometric functional analysis properties of convex bodies concentration of measure
2015/6/17
This paper considers the problem of clustering a collection of unlabeled data points assumed to lie near a union of lower dimensional planes. As is common in computer vision or unsupervised learning a...
Iteration theory of Maslov-type index associated with a Lagrangian subspace for symplectic paths and Multiplicity of brake orbits in bounded convex symmetric domains
Iteration theory Maslov-type index Lagrangian subspace symplectic paths and Multiplicity brake orbits in bounded convex symmetric domains
2015/4/3
Iteration theory of Maslov-type index associated with a Lagrangian subspace for symplectic paths and Multiplicity of brake orbits in bounded convex symmetric domains.
lp-Recovery of the Most Significant Subspace among Multiple Subspaces with Outliers
Best approximating subspace lp minimization as relaxation for l0 minimization
2011/3/3
We assume data sampled from a mixture of d-dimensional linear subspaces with outliers distributed symmetrically around the origin. We study the recovery of the global l0 subspace (i.e., with largest n...
A subspace shift technique for solving close-to-critical nonsymmetric algebraic Riccati equations
A subspace shift technique close-to-critical nonsymmetric algebraic Riccati equations
2010/11/11
The worst situation in computing the minimal nonnegative solution $X_*$ of a nonsymmetric algebraic Riccati equation $\mathcal R(X)=0$ associated with an M-matrix occurs when the derivative of $\math...