Rough fuzzy subspace clustering for data with missing values
Krzysztof Simiński
Abstract:
The paper presents rough fuzzy subspace clustering algorithm and experimental results of clustering. In this algorithm three approaches for handling missing values are used: marginalisation, imputation and rough sets. The algorithm also assigns weights to attributes in each cluster; this leads to subspace clustering. The parameters of clusters are elaborated in the iterative procedure based on minimising of criterion function. The crucial parameter of the proposed algorithm is the parameter having the influence on the sharpness of elaborated subspace cluster. The lower values of the parameter lead to selection of the most important attribute. The higher values create clusters in the global space, not in subspaces. The paper is accompanied by results of clustering of synthetic and real life data sets.
Reference:
Krzysztof Simiński, Rough fuzzy subspace clustering for data with missing values, [in] Computing & Informatics, 2014, volume 33, number 1, pp. 131-153. ([15 pkt])
Bibtex Entry:
@article{id:Siminski2014Rough,
  title={Rough fuzzy subspace clustering for data with missing values},
  author={Simi{\'n}ski, Krzysztof},
  journal={Computing \& Informatics},
  volume={33},
  number={1},
  year={2014},
  pages={131--153},
  abstract = {The paper presents rough fuzzy subspace clustering algorithm and 
  experimental results of clustering. In this algorithm three approaches for 
  handling missing values are used: marginalisation, imputation and rough sets. 
  The algorithm also assigns weights to attributes in each cluster; this leads 
  to subspace clustering. The parameters of clusters are elaborated in the 
  iterative procedure based on minimising of criterion function. The crucial 
  parameter of the proposed algorithm is the parameter having the influence on 
  the sharpness of elaborated subspace cluster. The lower values of the 
  parameter lead to selection of the most important attribute. The higher values
  create clusters in the global space, not in subspaces. The paper is 
  accompanied by results of clustering of synthetic and real life data sets.},
  note = {[15 pkt]},
}
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