Research Article
Fast Enhanced Exemplar-Based Clustering for Incomplete
EEG Signals
Anqi Bi, Wenhao Ying, and Lu Zhao
School of Computer Science and Engineering, Changshu Institute of Technology, Changshu, Jiangsu, China
Correspondence should be addressed to Lu Zhao; constance@cslg.edu.cn
Received 16 January 2020; Accepted 27 February 2020; Published 8 May 2020
Guest Editor: Chenxi Huang
Copyright©2020AnqiBietal.isisanopenaccessarticledistributedundertheCreativeCommonsAttributionLicense,which
permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
e diagnosis and treatment of epilepsy is a significant direction for both machine learning and brain science. is paper newly
proposes a fast enhanced exemplar-based clustering (FEEC) method for incomplete EEG signal. e algorithm first compresses
the potential exemplar list and reduces the pairwise similarity matrix. By processing the most complete data in the first stage, FEEC
then extends the few incomplete data into the exemplar list. A new compressed similarity matrix will be constructed and the scale
of this matrix is greatly reduced. Finally, FEEC optimizes the new target function by the enhanced α-expansion move method. On
the other hand, due to the pairwise relationship, FEEC also improves the generalization of this algorithm. In contrast to other
exemplar-based models, the performance of the proposed clustering algorithm is comprehensively verified by the experiments on
two datasets.
1. Introduction
Epilepsy is a common disease of nervous system, which is
characterized by sudden brain dysfunction. Although there
are many other neuroimaging modalities for the recognition
of brain activity, EEG signals have a high temporal reso-
lution which is up to the millisecond level, and its acquisition
equipment is inexpensive, portable, and noninvasive.
Nowadays, most diagnoses of epilepsy are based on clinical
experience and the analysis of electroencephalogram (EEG)
signals. Compared with manual diagnostic method, machine
learning methods are less time-consuming and more con-
sistent [1–6]. Specifically, many machine learning methods
such as support vector learning [7, 8], Takagi–Sugeno–Kang
(TSK) fuzzy system [9, 10], and Na¨ ıve Bayes [11] have been
applied.
As we know that brain activity is a nonlinear, unstable
complex network system, EEG signals we usually get are
complicated. at is to say, some EEG signals are complete
while others may miss some features, namely, incomplete.
erefore, recognition of epilepsy based on machine
learning models will be more promising compared with
clinical diagnosis depending on experience. Moreover, EEG
signals have the characteristics of high dimension and
stochasticity which limit the performance of most existing
clustering models, such as k-means [11] and fuzzy c mean
(fcm) [12]. K-means and fcm clustering models need to
preset the number of clusters in advance. More specifically,
the performance of the k-means model relies on the ini-
tialization of data, while the fcm model requires high in-
terpretability. us, we focus on the exemplar-based
clustering model [13] which is proposed by Frey in this
paper. e exemplar-based clustering model has the ad-
vantages of automatically obtaining the cluster number, high
efficiency, and not relying on the initialization of data.
In conclusion, we consider the scenario of EEG signals
consisting of most complete data and few incomplete data in
this paper, as shown in Figure 1. Based on the previous work
about the recognition of epileptic signals, we propose a novel
fast enhanced exemplar-based clustering (FEEC) model for
incomplete EEG signals. As shown in Figure 1, different
from existing exemplar-based clustering models, FEEC
compresses the exemplar list and reduces the pairwise
similarity matrix, and then FEEC optimizes the target model
by the enhanced α-expansion move framework. Moreover,
the contributions of this paper can be highlighted as follows:
Hindawi
Computational and Mathematical Methods in Medicine
Volume 2020, Article ID 4147807, 11 pages
https://doi.org/10.1155/2020/4147807