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Zang et al. / J Zhejiang Univ-Sci C (Comput & Electron) 2014 15(11):1086

Journal of Zhejiang University-SCIENCE C (Computers & Electronics) ISSN 1869-1951 (Print); ISSN 1869-196X (Online) www.zju.edu.cn/jzus; www.springerlink.com E-mail: [email protected]

Erratum:

Erratum to: Fast global kernel fuzzy c-means clustering algorithm for consonant/vowel segmentation of speech signal Xian ZANG1, Felipe P. VISTA IV1, Kil To CHONG1,2 (1Department of Electronic Engineering, Jeonbuk National University, Jeonju-si 561-756, Korea) 2

( Advanced Electronics and Information Research Center, Jeonbuk National University, Jeonju-si 561-756, Korea) E-mail: [email protected]; [email protected]; [email protected]

doi:10.1631/jzus.C13e0320

Erratum to: J Zhejiang Univ-Sci C (Comput & Electron) 2014 15(7):551-563 doi:10.1631/jzus.C1300320 The original version of this article unfortunately contained mistakes. Algorithm 6 should be as follows: Algorithm 6 FGKFCM-F clustering Input: (1) X={x1, x2, …, xN}, xi   d , i=1, 2, …, N, the dataset; (2) C, 10, the stopping criterion; (4) μ (0)  ( μ1(0) , μ2(0) , , μC(0) ), the initials of memberships;

4

Set the initial state n 0 v   (k )  (v1 (k ), v2 (k ), , vk 1 (k ), vk (k ))

 (v1 (k  1), v2 (k  1),, vk1 (k  1), xn ); 5

Set initial memberships μ n (0) ( k ) with respect to

v n (0) (k ) using Eq. (25); 6 7

end l  arg min J  ( μ n (k )) using Eq. (19);

8

μ (k )  KFCM-F  X , k ,  , m,  2 , μn (0) (k )  ;

1 n  N

n

(5) m>1, the weighting exponent; (6) σ, the GRBF kernel parameter. Output: (1) v  (v1 , v2 , , vC ), the final cluster prototypes;

9 10 11

v (0) (k )  v l (0) (k ) ; s=1; Update v ( s ) (k ) with v ( s 1) (k ) using Eq. (23);

(2) μ  ( μ1 , μ2 , , μC ), the final memberships.

12

If || v ( s ) (k )  v ( s 1) (k ) || 

1 2 3

Compute v  (1) using Eq. (23) with initial position v(1) placed at the data point that minimizes Eq. (24); for k=2 to C do for n=1 to N do

13 STOP and v (k )  v ( s ) (k ); 14 Else s=s+1 and return to line 11; 15 end 16 v  v  (C ), μ  μ (C ).

The online version of the original article can be found at http://dx.doi.org/10.1631/jzus.C1300320 © Zhejiang University and Springer-Verlag Berlin Heidelberg 2014