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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...
Outliers in the spectrum of iid matrices with bounded rank perturbations
Outliers spectrum of iid matrices bounded rank perturbations
2011/2/24
It is known that if one perturbs a large iid random matrix by a bounded rank error, then the
majority of the eigenvalues will remain distributed according to the circular law. However, the bounded ra...
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...
Exploiting the information content of hydrological ''outliers'' for goodness-of-fit testing
information content hydrological outliers goodness-of-fit testing
2010/12/22
Validation of probabilistic models based on goodness-of-fit tests is an essential step for the frequency analysis of extreme events. The outcome of standard testing techniques, however, is mainly dete...
Small Water-Property Transporting Eddies：Statistical Outliers in the Hydrographic Data of the POLYMODE Local Dynamics Experiment
Local Dynamics Experiment Hydrographic Data
2009/1/10
Hydrographic measurements from the POLYMODE Local Dynamics Experiment (LDE; 31°N, 69.5°W; May–July 1978) are examined for highly anomalous, outlying observations of salinity, oxygen and vortex stretch...
OPTIMAL AND ROBUST DETECTION OF MULTIVARIATE OUTLIERS FOR ELLIPTICALLY CONTOURED DISTRIBUTION
2007/8/7
The outlier problem for a multivariate elliptically contoured distribution's random sample with mean slippage is defined and the likelihood ratio test ofthe null hypothesis, in which there are no outl...