Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An Enhanced Adaptive Bi-clustering Algorithm through Building a
  Shielding Complex Sub-Matrix   Bi-clustering refers to the task of finding sub-matrices (indexed by a group
of columns and a group of rows) within a matrix of data such that the elements
of each sub-matrix (data and features) are related in a particular way, for
instance, that they are similar with respect to some metric. In this paper,
after analyzing the well-known Cheng and Church (CC) bi-clustering algorithm
which has been proved to be an effective tool for mining co-expressed genes.
However, Cheng and Church bi-clustering algorithm and summarizing its
limitations (such as interference of random numbers in the greedy strategy;
ignoring overlapping bi-clusters), we propose a novel enhancement of the
adaptive bi-clustering algorithm, where a shielding complex sub-matrix is
constructed to shield the bi-clusters that have been obtained and to discover
the overlapping bi-clusters. In the shielding complex sub-matrix, the imaginary
and the real parts are used to shield and extend the new bi-clusters,
respectively, and to form a series of optimal bi-clusters. To assure that the
obtained bi-clusters have no effect on the bi-clusters already produced, a unit
impulse signal is introduced to adaptively detect and shield the constructed
bi-clusters. Meanwhile, to effectively shield the null data (zero-size data),
another unit impulse signal is set for adaptive detecting and shielding. In
addition, we add a shielding factor to adjust the mean squared residue score of
the rows (or columns), which contains the shielded data of the sub-matrix, to
decide whether to retain them or not. We offer a thorough analysis of the
developed scheme. The experimental results are in agreement with the
theoretical analysis. The results obtained on a publicly available real
microarray dataset show the enhancement of the bi-clusters performance thanks
to the proposed method.

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The categories of this paper are: cond-mat
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The categories of this paper are: math-ph
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-alg
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The categories of this paper are: physics
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The categories of this paper are: nucl-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: econ
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-th
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The categories of this paper are: q-fin
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The categories of this paper are: plasm-ph
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The categories of this paper are: mtrl-th