TY - GEN

T1 - Relational fuzzy c-means and kernel fuzzy c-means using a quadratic programming-based object-wise β-spread transformation

AU - Kanzawa, Yuchi

N1 - Publisher Copyright:
© Springer International Publishing Switzerland 2014.

PY - 2014

Y1 - 2014

N2 - Clustering methods of relational data are often based on the assumption that a given set of relational data is Euclidean, and kernelized clustering methods are often based on the assumption that a given kernel is positive semidefinite. In practice, non-Euclidean relational data and an indefinite kernel may arise, and a β-spread transformation was proposed for such cases, which modified a given set of relational data or a given a kernel Gram matrix such that the modified β value is common to all objects. In this paper, we propose a quadratic programming-based object-wise β-spread transformation for use in both relational and kernelized fuzzy c-means clustering. The proposed system retains the given data better than conventional methods, and numerical examples show that our method is efficient for both relational and kernel fuzzy c-means.

AB - Clustering methods of relational data are often based on the assumption that a given set of relational data is Euclidean, and kernelized clustering methods are often based on the assumption that a given kernel is positive semidefinite. In practice, non-Euclidean relational data and an indefinite kernel may arise, and a β-spread transformation was proposed for such cases, which modified a given set of relational data or a given a kernel Gram matrix such that the modified β value is common to all objects. In this paper, we propose a quadratic programming-based object-wise β-spread transformation for use in both relational and kernelized fuzzy c-means clustering. The proposed system retains the given data better than conventional methods, and numerical examples show that our method is efficient for both relational and kernel fuzzy c-means.

UR - http://www.scopus.com/inward/record.url?scp=84927547431&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84927547431&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-02821-7_5

DO - 10.1007/978-3-319-02821-7_5

M3 - Conference contribution

AN - SCOPUS:84927547431

T3 - Advances in Intelligent Systems and Computing

SP - 29

EP - 43

BT - Knowledge and Systems Engineering - Proceedings of the 5th International Conference, KSE 2013

A2 - Denoeux, Thierry

A2 - Huynh, Van-Nam

A2 - Tran, Dang Hung

A2 - Le, Anh Cuong

A2 - Pham, Son Bao

PB - Springer Verlag

T2 - 5th International Conference on Knowledge and Systems Engineering, KSE 2013

Y2 - 17 October 2013 through 19 October 2013

ER -