Bs31267274

International Journal of Modern Engineering Research (IJMER)
www.ijmer.com Vol.3, Issue.1, Jan-Feb. 2013 pp-267-274 ISSN: 2249-6645

A Survey on Different Clustering Algorithms in Data
Mining Technique

P. IndiraPriya, 1 Dr. D.K.Ghosh2
1
Tagore Engineering College, Chennai, India
2
V.S.B. Engineering College, Karur, India

ABSTRACT: Fast retrieval of the relevant information from databases has always been a significant issue. There are
many techniques are developed for this purpose; In among data clustering is one of the major technique. The process of
creating vital information from a huge amount of data is learning. It can be classified into two such as supervised learning
and unsupervised learning. Clustering is a kind of unsupervised data mining technique. It describes the general working
behavior, the methodologies followed by these approaches and the parameters which affect the performance of these
algorithms. In classifying web pages, the similarity between web pages is a very important feature. The main objective of this
paper is to gather more core concepts and techniques in the large subset of cluster analysis.

Keywords: Clustering, Unsupervised Learning Web Pages, Classifications.

I. Introduction
Now a day, people come across a huge amount of information and store or represent it as data. One of the vital
means in dealing with these data is to classify or group them into a set of categories or clusters. Clustering involves creating
groups of objects that are similar, and those that are dissimilar. The clustering problem lies in finding groups of similar
objects in the data. The similarity between the objects is measured with the use of a similarity function. Clustering is
especially useful for organizing documents, to improve retrieval and support browsing. Clustering is often confused with
classification, but there is some difference between the two. In classification, the objects are assigned to pre defined classes,
whereas in clustering the classes are also to be defined. To be Precise, Data Clustering is a technique in which, the
information that is logically similar is physically stored together. In order to increase the efficiency in the database system
the numbers of disk accesses are to be minimized. In clustering, objects having similar properties are placed in one class, and
a single access to the disk makes the entire class available. Clustering algorithms can be applied in many areas, for instance,
marketing, biology, libraries, insurance, city-planning, earthquakes, and www document classification.

1.1 Clustering
Clustering can be considered the most important unsupervised learning problem; so, as with every other problem of
this kind, it deals with finding a structure in a collection of unlabeled data. The process of organizing objects into groups
whose members are similar in some way is a cluster. A collection of objects which are “similar” between them and are
“dissimilar” to the objects belonging to other clusters. Two important topics are: (1) Different ways to group a set of objects
into a set cluster (2) types of Clusters.
The analysis of cluster is to identify and classifies objects, individuals or variables, on the basis of the similarities.
It seeks to minimize within-group variance and maximize between-group variance. The result of the cluster analysis is a
number of heterogeneous groups with homogeneous contents. The individuals within a single group are similar rather than
substantial differences between the groups.
The Cluster analysis groups data objects based only on the information found in the data that describes the objects
and their relationships. The goal is that the objects within a group be similar (or related) to one another and different from (or
unrelated to) the objects in the other groups. The greater similarity (or homogeneity) of clustering is within a group, and the
greater the difference between groups, the better or more distinct the clustering [8]. Data may be thought of as points in a
space where the axes correspond to the variables. The cluster analysis divides the space into regions, characteristic of the
groups found in the data. The main advantage of a clustered solution is automatic recovery from failure, that is, recovery
without user intervention. The disadvantages of clustering are complexity and inability to recover from database corruption.
An ordered list of objects, which have some common characteristics of cluster. The objects belong to an interval [a, b], in our
case [0, 1] [2]. The distance between two clusters involves some or all elements of the two clusters. The clustering method
determines how the distance should be computed [1]. A similarity measure SIMILAR ( Di, Dj ) can be used to represent the
similarity between the documents. Typical similarity generates values of 0 for documents exhibiting no agreement among the
assigned indexed terms, and 1 when perfect agreement is detected. Intermediate values are obtained for cases of partial
agreement [1]. If the similarity measure is computed for all pairs of documents ( Di, Dj ) except when i=j, an average value
AVERAGE SIMILARITY is obtainable. Specifically, AVERAGE SIMILARITY = CONSTANT SIMILAR ( D i, Dj ), where
i=1,2,….n and j=1,2,….n and i< > j. The lowest possible input value of similarity is required to join two objects in one
cluster. The similarity between objects calculated by the function SIMILAR (Di,,Dj), represented in the form of a matrix is
called a similarity matrix. The dissimilarity coefficient of two clusters is defined as the distance between them. The smaller
the value of the dissimilarity coefficient, the more similar the two clusters are.

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The first document or object of a cluster is defined as the initiator of that cluster, i.e., similarity of every incoming object’s is
compared with the initiator. The initiator is called the cluster seed. The procedure of the cluster analysis with four basic steps
is as follows:

1) Feature selection or extraction. As pointed out by Jain et al. [5], [6] and Bishop [7], feature selection chooses
distinguishing features from a set of candidates, while feature extraction utilizes some transformations to generate useful and
novel features from the original ones. An elegant selection of features can greatly decrease the workload, and simplify the
subsequent design process. Generally, ideal features should be of use in distinguishing patterns belonging to different
clusters, immune to noise, easy to extract and interpret. An elaborate discussion on feature extraction, in the context of data
visualization and dimensionality reduction. More information on feature selection can be found in [7], [5], and [9].

Knowledge

2) Clustering algorithm design or selection. This step is usually combined with the selection of a corresponding proximity
measure, and the construction of a criterion function. Patterns are grouped according to whether they resemble one another.
Obviously, the proximity measure directly affects the formation of the resulting clusters. Almost all clustering algorithms are
explicitly or implicitly connected to some definition of the proximity measure. Some algorithms even work directly on the
proximity matrix. Once a proximity measure is chosen, the construction of a clustering criterion function makes the partition
of clusters an optimization problem, which is well defined mathematically, and has rich solutions in the literature. Clustering
is ubiquitous, and a wealth of clustering algorithms has been developed to solve different problems in specific fields. It has
been very difficult to develop a unified framework for reasoning about it (clustering) at a technical level, and profoundly
diverse approaches to clustering [10], as proved through an impossibility theorem. Therefore, it is important to carefully
investigate the characteristics of the problem on hand, in order to select or design an appropriate clustering strategy.

3) Cluster validation. Given a data set, each clustering algorithm can always generate a division, no matter whether the
structure exists or not. Moreover, different approaches usually lead to different clusters; and even for the same algorithm,
parameter identification or the presentation order of the input patterns may affect the final results. Therefore, effective
evaluation standards and criteria are important to provide the users with a degree of confidence, for the clustering results
derived from the used algorithms. These assessments should be objective and have no preferences to any algorithm. Also,
they should be useful for answering questions like how many clusters are hidden in the data, whether the clusters obtained
are meaningful or just artifacts of the algorithms. Generally, there are three categories of testing criteria: external indices,
internal indices, and relative indices. These are defined on three types of clustering structures, known as partitional
clustering, hierarchical clustering, and individual clusters [11]. Tests for a situation, where no clustering structure exists in
the data, are also considered [12], but seldom used, since users are confident of the presence of clusters. External indices are
based on some pre specified structure, which is a reflection of prior information on the data, and used as a standard to
validate the clustering solutions. Internal tests are not dependent on external information (prior knowledge). On the contrary,
they examine the clustering structure directly from the original data. Relative criteria place the emphasis on the comparison
of different clustering structures, in order to provide a reference, to decide which one may best reveal the characteristics of
the objects. Shall not survey the topic in depth, but refer interested readers to [13], [14]. Approaches to fuzzy clustering
validity are reported in [16], [17], [18].

4) Results interpretation. The ultimate goal of clustering is to provide users with meaningful insights into the original data,
so that they can effectively solve the problems encountered. Experts in the relevant fields interpret the data partition. Further
analyzes, even experiments, may be required to guarantee the reliability of the extracted knowledge.



1.2 Classification
Classification plays a vital role in many information management and retrieval tasks. On the Web, the classification
of page content is essential to focused crawling, to the assisted development of web directories, to topic-specific web link
analysis, and to the analysis of the topical structure of the Web. Web page classification can also help improve the quality of
web search. Web page classification, also known as web page categorization, is the process of assigning a web page to one
or more predefined category labels. Classification is often posed as a supervised learning problem (Mitchell 1997) in which a
set of labeled data is used to train a classifier, which can be applied to label future examples.
The general problem of web page classification can be divided into multiple sub-problems: subject, functional,
sentiment, and other types of classification. Subject classification concerns the subject or topic of a Web page. For example,
judging whether a page is about “arts”, “business” or “sports” is an instance of subject classification. Functional
classification cares about the role that the Web page plays. For example, deciding a page to be a “personal homepage”,
“course page” or “admission page” is an instance of functional classification. Sentiment classification focuses on the opinion
that is presented in a web page, i.e., the author’s attitude about some particular topic. Other types of classification include
genre classification (e.g., (zu Eissen and Stein 2004)), search engine spam classification (e.g., (Gyongyi and Garcia-Molina
2005b; Castillo, Donato, Gionis, Murdock, and Silvestri 2007)) and so on.
Based on the number of classes in the problem, classification can be divided into binary classification and multi-
class classification, where binary classification categorizes instances into exactly one of two classes; multi-class
classification deals with more than two classes. Based on the number of classes that can be assigned to an instance,
classification can be divided into single-label classification and multi-label classification. In single-label classification, one
and only one class label is to be assigned to each instance, while in multi-label classification; more than one class can be
assigned to an instance. If a problem is multi-class, say four-class classification, it means four classes are involved, say Arts,
Business, Computers, and Sports. It can be either single-label, where exactly one class label can be assigned to an instance,
or multi-label, where an instance can belong to any one, two, or all of the classes. Based on the type of class assignment,
classification can be divided into hard classification and soft classification. In hard classification, an instance can either be or
not be in a particular class, without an intermediate state; while in soft classification, an instance can be predicted to be in
some class with some likelihood (often a probability distribution across all classes).
Based on the organization of categories, web page classification can also be divided into flat classification and
hierarchical classification. In flat classification, categories are considered parallel, i.e., one category does not supersede
another, while in hierarchical classification, the categories are organized in a hierarchical tree-like structure, in which each
category may have a number of subcategories.
Clustering can be in the form of classification, in that it creates a labeling of objects with class (cluster) labels.
Classification means a supervised classification; i.e., new, unlabeled objects are assigned a class label using developed
objects with known class labels. The term segmentation and partitioning are sometimes used as synonyms for clustering. The
partitioning is often used in connection with techniques that divide graphs into sub graphs and that are not strongly
connected to clustering. Segmentation often refers to the division of data into group using simple techniques; eg., an image
can be split into segments based only on pixel intensity and color, or people can be divided into groups based on their
income. Clustering is a type of classification imposed on a finite set of objects. The relationship between objects is
represented in a proximity matrix, in which rows and columns correspond to objects. The proximity matrix is the one and
only input to a clustering algorithm.
In this paper, various clustering algorithms in data mining are discussed. A new approach for to improve the prediction
accuracy of the clustering algorithms is proposed.

II. Approaches
2.1 Types of Clustering Algorithms
Clustering is a division of data into groups of similar objects [3]. The clustering algorithm can be divided into five
categories, viz, Hierarchical, Partition, Spectral, Grid based and Density based clustering algorithms.

2.1.1 Hierarchical Clustering Algorithm
The hierarchical clustering algorithm is a group of data objects forming a tree shaped structure. It can be broadly
classified into agglomerative hierarchical clustering and divisive hierarchical clustering. In the agglomerative approach,
which is also called as the bottom up approach, each data point is considered to be a separate cluster, and on each iteration
the clusters are merged, based on a criterion. The merging can be done by using the single link, complete link, centroid or
wards method. In the divisive approach all data points are considered as a single cluster, and they are split into a number of
clusters, based on certain criteria, and this is called as the top down approach. Examples of this algorithms are LEGCLUST
[22], BRICH [19] (Balance Iterative Reducing and Clustering using Hierarchies), CURE (Cluster Using REpresentatives)
[20], and Chemeleon [1].

The construction of a hierarchical agglomerative classification can be achieved by the following general algorithm.
1. Find the 2 closest objects and merge them into a cluster
2. Find and merge the next two closest points, where a point is either an individual object or a cluster of objects.
3. If more than one cluster remains, return to step 2.



Individual methods are characterized by the definition used for the identification of the closest pair of points, and by the
means used to describe the new cluster when two clusters are merged. There are some general approaches to the
implementation of this algorithm; these being stored matrix and stored data, are discussed below:
 In the second matrix approach , an N*N matrix containing all pair wise distance values is first created, and updated as
new clusters are formed. This approach has at least an O(n*n) time requirement, rising to O(n 3) if a simple serial scan of
dissimilarity matrix is used to identify the points, which need to be fused in each agglomeration, a serious limitation for
large N.
 The stored data approach requires the recalculation of the pair wise dissimilarity values for each of the N-1
agglomerations, and the O (N) space requirement is therefore achieved at the expense of an O (N3) time requirement.

The advantages of hierarchical clustering include embedded flexibility regarding the level of granularity, and Ease
of handling of any forms of similarity or distance. Consequently, its applicability to any attributes types and its logical
structure, make it easy to read and interpret. The disadvantages of hierarchical clustering are related to the vagueness of
termination criteria, the fact that most hierarchical algorithms do not revisit once constructed, (intermediate) clusters with the
purpose of their improvement; and that they are relatively unstable and unreliable, i.e., the first combination or separation of
objects, which may be based on a small difference in the criterion, will constrain the rest of the analysis.

2.1.2 Spectral Clustering Algorithm
Spectral clustering refers to a class of techniques, which relies on the Eigen structure of a similarity matrix. Clusters
are formed by partitioning data points using the similarity matrix. Any spectral clustering algorithm will have three main
stages [23]. They are preprocessing, spectral mapping and post mapping. Preprocessing deals with the construction of the
similarity matrix. Spectral Mapping deals with the construction of Eigen vectors for the similarity matrix. Post Processing
deals with the grouping of data points.
The advantages of the spectral clustering algorithm are: strong assumptions on the cluster shape are not made; it is
simple to implement and objective; it does not consider local optima; it is statistically consistent and works faster. The major
drawback of this approach is that it exhibits high computational complexity. For large data set it requires O (n3), where n is
the number of data points [17]. Examples of this algorithm are, SM(Shi and Malik) algorithm, KVV
(Kannan,VempalaandVetta) algorithm, and NJW ( Ng, Jordan and Weiss)algorithm [22].

2.1.3 Grid based Clustering Algorithm
The grid based algorithm quant sizes the object space into a finite number of cells, that forms a grid structure
[1].Operations are done on these grids. The advantage of this method is its lower processing time. Clustering complexity is
based on the number of populated grid cells, and does not depend on the number of objects in the dataset. The major features
of this algorithm are, no distance computations, Clustering is performed on summarized data points, Shapes are limited to the
union of grid-cells, and the complexity of the algorithm is usually O(Number of populated grid-cells). STING [1] is an
example of this algorithm.

2.1.4 Density based Clustering Algorithm
The density based algorithm allows the given cluster to continue to grow as long as the density in the neighbor hood
exceeds a certain threshold [4]. This algorithm is suitable for handling noise in the dataset. The following points are
enumerated as the features of this algorithm: it handles clusters of arbitrary shape, Handles noise, needs only one scan of the
input dataset, and the density parameters to be initialized. DBSCAN, DENCLUE and OPTICS [4] are examples of this
algorithm.

Density-Based Connectivity
The crucial concepts of this section are density and connectivity, both measured in terms of local distribution of
nearest neighbors.
The algorithm DBSCAN (Density Based Spatial Clustering of Applications with Noise) targeting low-dimensional
spatial data is the major representative of this category.

Two input parameters and Min Pts are used to define:
1) An -neighborhood ( ) { | ( , ) } N x = y_ X d x y _ of the point x,
2) A core object (a point with a neighborhood consisting of more than Min Pts points)
3) A concept of a point y density-reachable from a core object x (a finite sequence of core objects between x and y exists
such that each next belongs to an - neighborhood of its predecessor)
4) A density-connectivity of two points x, y (they should be density-reachable from a common core object).

Density Functions
Hinneburg & Keim [1998] shifted the emphasis from computing densities pinned to data points to computing
density functions defined over the underlying attribute space. They proposed the algorithm DENCLUE (DENsity-based
CLUstEring). Along with DBCLASD, it has a firm mathematical foundation. DENCLUE uses a density function.



f D(x) = y€ D f (x, y) (1)

That is the superposition of several influence functions. When the f-term depends on x y, the formula can be
recognized as a convolution with a kernel. Examples include a square wave function f (x, y) = ϴ( ||x − y || σ ) equal to 1, if
the distance between x and y is less than or equal to 0, and a Gaussian influence function f(x,y) = e –||x-xy||2 /2 σ2 .This provides
a high level of generality: the first example leads to DBSCAN, the second one to k-means clusters! Both examples depend
on parameter σ. Restricting the summation to D = {y :| | x – y || < k σ }c X enables a practical implementation. DENCLUE
concentrates on the local maxima of the density functions called density-attractors, and uses the flavor of the gradient hill-
climbing technique for finding them. In addition to center-defined clusters, arbitrary-shape clusters are defined as
continuations along sequences of points whose local densities are no less than the prescribed threshold £. The algorithm is
stable with respect to outliers and authors show how to choose parameters £ and σ. DENCLUE scales well, since at its initial
stage it builds a map of hyper-rectangle cubes with an edge length 2 σ. For this reason, the algorithm can be classified as a
grid-based method.
The advantages of this density function in clustering are, that it does not require a-priori specification of the number
of clusters, is able to identify noise data while clustering, and the DBSCAN algorithm is able to find arbitrarily sized and
arbitrarily shaped clusters. The disadvantages of this density function in clustering are that the DBSCAN algorithm fails in
the case of varying density clusters and in the case of a neck type of dataset.

2.1.5 Partition Clustering Algorithm
Partitioning methods generally result in a set of M clusters, each object belonging to one cluster. Each cluster may
be represented by a centroid or a cluster representative; this is some sort of a summary description of all the objects
contained in a cluster. The precise form of this description will depend on the type of the object which is being clustered. In
cases where real-valued data is available, the arithmetic mean of the attribute vectors for all objects within a cluster provides
an appropriate representative; alternative types of centroid may be required in other cases; e.g., a cluster of documents can be
represented by a list of those keywords that occur in some minimum number of documents within a cluster. If the number of
clusters is large, the centroids can be further clustered to produce a hierarchy within a dataset.
The partition clustering algorithm splits the data points into k partition, where each partition represents a cluster. The
partition is done based on certain objective functions. One such criterion function is minimizing the square error criterion
which is computed as,

E = Σ Σ || p – mi || 2 (2)

Where p is the point in a cluster and mi is the mean of the cluster. The cluster should exhibit two properties; they
are (1) each group must contain at least one object (2) each object must belong to exactly one group. The main drawback of
this algorithm [3] is whenever a point is close to the center of another cluster; it gives a poor result due to overlapping of the
data points.
Single Pass is a very simple partition method; it creates a partitioned dataset in three steps. First, it makes the first
object the centroid for the first cluster. For the next object, it calculates the similarity, S, with each existing cluster centroid,
using some similarity coefficient. Finally, if the highest calculated S is greater than some specified threshold value, it adds
the object to the corresponding cluster, and re determines the centroid; otherwise, it uses the object to initiate a new cluster.
If any objects remain to be clustered, it returns to step 2.
As its name implies, this method requires only one pass through the dataset; the time requirements are typically of
the order O(NlogN) for order O(logN) clusters. This makes it a very efficient clustering method for a serial processor. A
disadvantage is that the resulting clusters are not independent of the order in which the documents are processed, with the
first clusters formed usually being larger than those created later in the clustering run.
K- Means Clustering Algorithm is one of the partition based clustering algorithms. The advantages of the simple K
means algorithm. That it is easy to implement and works with any of the standard norms. It allows straight forward
parallelization; and it is insensitive with respect to data ordering. The disadvantages of the K means algorithm are as follows.
The results strongly depend on the initial guess of the centroids. The local optimum (computed for a cluster) does not need to
be a global optimum (overall clustering of a data set). It is not obvious what the good number K is in each case, and the
process is, with respect to the outlier.

2.2 Soft Clustering
2.2.1 Fuzzy K Means Clustering
Fuzzy clustering allows each feature vector to belong to more than one cluster with different membership degrees
(between 0 and 1), and vague or fuzzy boundaries between clusters. Fuzzy clustering is often used in modeling (fuzzy
modeling, neural networks, rule-based systems), where the clusters are sought as a structural setup for the ensuing modelling
activities. In this case, the viewpoints can be formed as some points that are located at the boundaries of the range of input
variables, so that we achieve a comprehensive “coverage” of the input space, and this way, the models “spanned” over these
information granules can be highly representative. The clusters exhibit a certain “crowding” tendency. It is very unlikely to
see the clusters positioned at the extreme values of the input variables and, thus, represent these regions when it comes to the
construction of the model. To elaborate on this effect in more detail and high light its implications to system modeling, let us



consider a rule-based model that is governed by the rules of the form if x is Ai . . . then y is Bi and if x is Ac . . . then y is Bc ,
where Ai and Bi are fuzzy sets, that are defined in the input and output spaces, respectively. Quite commonly, these fuzzy
sets are developed through fuzzy clustering, and the centers of the clusters (prototypes) are the modes of the fuzzy sets Ai and
Bi. Alluding to the prototypes formed through clustering, we note that they are formed in the aggregate input–output space,
i.e., [vi mi]. Three difficulties exist in fuzzy clustering. First, the optimal number of clusters K to be created, has to be
determined (the number of clusters cannot always be defined a priori and a good cluster validity criterion has to be found).
Second, the character and location of the cluster prototypes (centers) is not necessarily known a priori, and initial guesses
have to be made. Third, the data characterized by large variability in the cluster shape, cluster density, and the number of
points (feature vectors) in different clusters, have to be handled.

2.2.2 Fuzzy C Means Clustering
This algorithm works by assigning the membership to each data point corresponding to each cluster center, on the
basis of the distance between the cluster center and the data point. The nearer data is to the cluster center, the more is its
membership towards the particular cluster center. Clearly, the summation of the membership of each data point should be
equal to one. The advantages of this clustering algorithm are it gives the best result for an overlapped data set, and a
comparatively better then k-means algorithm. Unlike the k-means, where the data point must exclusively belong to one
cluster center, here the data point is assigned a membership to each cluster center, as a result of which the data point may
belong to more than one cluster center. The disadvantages of the clustering algorithm are, Apriori specification of the
number of clusters; with a lower value of β get a better result but at the expense of more number of iterations and the
Euclidean distance measures can unequally weight underlying factors.

2.2.3 New Weighted Fuzzy C Means Clustering
A new weighted fuzzy C-means (NW-FCM) algorithm was proposed by Chih-Cheng Hung et al [26]; it is used to
improve the performance of both the FCM models for high dimensional multiclass pattern recognition problems. The
methodology used in NW-FCM is the concept of the weighted mean from the non parametric weighted feature extraction
(NWFE) and the cluster mean from the discriminate analysis feature extraction (DAFE).

2.3 Neural Network Based Clustering
Neural networks-based clustering has been dominated by SOFMs, and the adaptive resonance theory (ART), both
of which are reviewed here. The objective of SOFM is to represent high-dimensional input patterns with prototype vectors
that can be visualized in a usually two-dimensional lattice structure [21]. Each unit in the lattice is called a neuron, and the
adjacent neurons are connected to each other, which gives a clear topology of how the network fits itself in to the input
space. The input patterns are fully connected to all neurons via adaptable weights, and during the training process, the
neighboring input patterns are projected into the lattice, corresponding to the adjacent neurons. In this sense, some authors
prefer to think of SOFM as a method to display the latent data structure in a visual way rather than a clustering approach
[24].
The merits of neural network based clustering are, the input space density approximation and independence of the
order of input patterns and SOFM need to predefine the size of the lattice, i.e., the number of clusters, which is unknown in
most circumstances. The de Merits of this neural network based clustering is, it may suffer from input space density
misrepresentation [25], where areas of low pattern density may be over-represented, and areas of high density under-
represented.

2.4 Genetic Based Clustering Algorithms
2.4.1 Genetic K-Means Algorithm
K. Krishna and M. Narasimha Murty proposed a novel hybrid genetic algorithm (GA) that finds a globally optimal
partition of a given data into a specified number of clusters. GAs used earlier in clustering, employ either an expensive
crossover operator to generate valid child chromosomes from parent chromosomes, or a costly fitness function or both. To
circumvent these expensive operations, they hybridized the GA with a classical gradient descent algorithm used in
clustering, viz., the K-means algorithm. Hence, the name genetic K-means algorithm (GKA). They defined the K-means
operator, one-step of the K-means algorithm, and used it in GKA as a search operator, instead of crossover. They also
defined a biased mutation operator specific to clustering, called distance-based-mutation. Using the finite Markov chain
theory, they proved that the GKA converges to a global optimum. It is observed in the simulations that the GKA converges
to the best known optimum, corresponding to the given data, in concurrence with the convergence result. It is also observed
that the GKA searches faster than some of the other evolutionary algorithms used for clustering. The advantage of the
genetic k means clustering algorithm is that it is faster than some of the other clustering algorithms.

2.4.2 Immune Genetic Algorithm based Fuzzy K-means Clustering Algorithm
Chengjie Gu et al [27] proposed a Fuzzy Kernel K Means clustering method based on the immune Genetic algorithm (IGA-
FKKM). The Dependence of the fuzzy k means clustering on the distribution of sample was eliminated, with the introduction
of the kernel function in this approach. The immune genetic algorithm has been used to suppress fluctuations that occurred at
later evolvement and to avoid the local optimum. This algorithm provides the global optimum and higher cluster accuracy.



2.4.3 Immune Genetic Algorithm based Novel Weighted Fuzzy C-means Clustering Algorithm
A Novel Weighted Fuzzy C-Means clustering method, based on the Immune Genetic Algorithm (IGA-NWFCM)
was proposed by S.Ganapthy et al [28] for effective intrusion detection. Hence, it improves the performance of the existing
techniques to solve the high dimensional multiclass problems. Moreover, the probability of obtaining the global value is
increased by the application of the immune genetic algorithm. It provides high classification accuracy, stability, and
probability of gaining the global optimum value.

III. Comparative Analysis
The computational complexity of some typical and classical clustering algorithms in Table 1 with several newly proposed
approaches specifically designed to deal with large-scale data sets.

Table 1 Computational Complexity of Clustering Algorithms
Clustering Complexity Capability of tackling
Algorithm high dimensional data
K – means O(NKd) time No
O(N+ K) (space)
Fuzzy c means Near O(N) No

Hierarchical clustering O(N2) (time) No
O(N2) (space)
CLARA O(K(40+K)2+K(N-K))+ (time) No

CLARANS Quadratic in total performance No

BIRCH O(N) (time) No

DBSCAN O(N log N) (time) No

CURE O(N2samplelogNsample) (time) Yes
O(Nsample) (space)

IV. Proposed Approach
The goal of clustering is to determine the intrinsic grouping in a set of unlabeled data. But how does one decide
what constitutes a good clustering? It can be shown that there is no absolute “best” criterion, which would be independent of
the final aim of the clustering. Consequently, it is the user who must supply this criterion, in such a way that the result of the
clustering will suit this needs. For instance, it could be interested in finding representatives for homogeneous groups (data
reduction), in finding “natural clusters”, and describe their unknown properties (“natural” data types), in finding useful and
suitable groupings (“useful” data classes) or in finding unusual data objects (outlier detection).
In this review, the clustering scalability and efficiency of various clustering algorithm have been analyzed. This
system propose a different Clustering algorithms for data sets appearing in statistics, computer science, and machine
learning, and illustrate their applications in some benchmark data sets, the traveling salesman problem, and bioinformatics, a
new field attracting intensive efforts. The results of different clustering depict the efficiency of the method. Because of the
computation overhead in constructing dissimilarity matrix. There is also some scope for applying the clustering procedure to
large datasets. In large datasets, the clustering efficiency is degraded and also need to improve time and scalability values. So
to probe novel approaches for making efficient clustering schemas.

V. Conclusion
The cluster analysis examines unlabeled data, by either constructing a hierarchical structure, or forming a set of
groups, according to a pre specified number. In this paper, an attempt has been made to give the basic concept of clustering,
by first providing the definition of different clustering algorithms and some related terms. The soft clustering technique and
hierarchical method of clustering were explained. The main focus was on these clustering algorithms, and a review of a wide
variety of approaches that are mentioned in the literature. These algorithms evolve from different research communities, and
these methods reveal that each of them has advantages and disadvantages. The drawback of the k-means algorithm is to find
the optimal k value and initial centroid for each cluster. This is overcome by applying concepts, such as fuzzy algorithm.



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