Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Robust Regularized Locality Preserving Indexing for Fiedler Vector
  Estimation   The Fiedler vector of a connected graph is the eigenvector associated with
the algebraic connectivity of the graph Laplacian and it provides substantial
information to learn the latent structure of a graph. In real-world
applications, however, the data may be subject to heavy-tailed noise and
outliers which results in deteriorations in the structure of the Fiedler vector
estimate. We design a Robust Regularized Locality Preserving Indexing (RRLPI)
method for Fiedler vector estimation that aims to approximate the nonlinear
manifold structure of the Laplace Beltrami operator while minimizing the
negative impact of outliers. First, an analysis of the effects of two
fundamental outlier types on the eigen-decomposition for block affinity
matrices which are essential in cluster analysis is conducted. Then, an error
model is formulated and a robust Fiedler vector estimation algorithm is
developed. An unsupervised penalty parameter selection algorithm is proposed
that leverages the geometric structure of the projection space to perform
robust regularized Fiedler estimation. The performance of RRLPI is benchmarked
against existing competitors in terms of detection probability, partitioning
quality, image segmentation capability, robustness and computation time using a
large variety of synthetic and real data experiments.

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The categories of this paper are: econ
37
The categories of this paper are: supr-con
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The categories of this paper are: nucl-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
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The categories of this paper are: math
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The categories of this paper are: cmp-lg
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-th
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The categories of this paper are: mtrl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: physics
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The categories of this paper are: solv-int
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The categories of this paper are: atom-ph
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The categories of this paper are: funct-an