Similarity between a pair of objects can be defined either explicitly or implicitly. In this paper, we introduce a novel multi-viewpoint based similarity measure and two related clustering methods. Using multiple viewpoints, more informative assessment of similarity could be achieved. Theoretical analysis and empirical study are conducted to support this claim. Two criterion functions for document clustering are proposed based on this new measure. We compare them with several well-known clustering algorithms that use other popular similarity measures on various document collections to verify the advantages of our proposal.

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Ijesrt Journal [Dhanalakshmi et al. In this paper, we introduce Hierarchical Clustering with Multiple view points based on different similarity measures. The major difference between a traditional dissimilarity and similarity measure is that the former uses only a single viewpoint, which is the origin, while the latter utilizes many different viewpoints, which are objects assumed to not be in the same cluster with the two objects being measured.

The main objective is to cluster web documents. Using Hierarchical Multiview point, we can achieve more informative assessment of similarity. We compare our approach with former model on various document collections to verify the advantages of our proposed method. Keywords: Hierarchical clustering, document clustering, MVP similarity measure. Introduction Cluster Analysis developed, depending on the methods used to Clustering is the classification of objects represent data, the measures of similarity between into different groups, or more precisely, the data objects, and the techniques for grouping data partitioning of a data set into subsets clusters , so objects into clusters.

Data clustering is a Document clustering techniques mostly rely common technique for statistical data analysis, which on single term analysis of the document data set, such is used in many fields, including machine learning, as the Vector Space Model. To achieve more accurate data mining, pattern recognition, image analysis and document clustering, more informative features bioinformatics.

The computational task of classifying including phrases and their weights are particularly the data set into k clusters is often referred to as k- important in such scenarios. Document clustering is clustering. Besides the term data clustering or just particularly useful in many applications such as clustering , there are a number of terms with similar automatic categorization of documents, grouping meanings, including cluster analysis, automatic search engine results, building taxonomy of classification, numerical taxonomy, biology and documents, and others.

For this Hierarchical typological analysis. Clustering method provides a better improvement in Document clustering aims to group, in an achieving the result. Our project presents two key unsupervised way, a given document set into clusters parts of successful Hierarchical document clustering. It is an enabling technique for a wide range incremental construction of the index of the of information retrieval tasks such as efficient document set with an emphasis on efficiency, rather organization, browsing and summarization of large than relying on single-term indexes only.

It provides volumes of text documents. Cluster analysis aims to efficient phrase matching that is used to judge the organize a collection of patterns into clusters based similarity between documents. This model is flexible on similarity. Clustering has its root in many fields, in that it could revert to a compact representation of such as mathematics, computer science, statistics, the vector space model if we choose not to index biology, and economics.

In different application phrases. The combination of these data. See Inner product space. Hierarchical Clustering Related Works Creating clusters Types Of Clustering Hierarchical clustering builds Data clustering algorithms can be agglomerative , or breaks up divisive , a hierarchy hierarchical. Hierarchical algorithms find successive of clusters.

The traditional representation of this clusters using previously established clusters. Agglomerative Agglomerative algorithms begin with each element as algorithms begin at the leaves of the tree, whereas a separate cluster and merge them into successively divisive algorithms begin at the root. Divisive algorithms begin with the Optionally, one can also construct a distance whole set and proceed to divide it into successively matrix at this stage, where the number in the i-th row smaller clusters.

Partitional algorithms typically j-th column is the distance between the i-th and j-th determine all clusters at once, but can also be used as elements. Then, as clustering progresses, rows and divisive algorithms in the hierarchical clustering. This is a common way to clustering methods where not only the objects are implement this type of clustering, and has the benefit clustered but also the features of the objects, i.

A simple the data is represented in a data matrix, the rows and agglomerative clustering algorithm is described in the columns are clustered simultaneously. Distance Measure Usually the distance between two clusters and An important step in any clustering is to is one of the following: select a distance measure, which will determine how The maximum distance between elements of each the similarity of two elements is calculated.

This will cluster also called complete linkage clustering : influence the shape of the clusters, as some elements may be close to one another according to one distance and further away according to another.

This decision is small number of clusters number criterion. Experimental Many of these measures are derived from the results show that the proposed approach matching matrix aka confusion matrix , e. It measures. Many existing clustering provides hierarchical clustering. Close to optimal clustering Document clustering has been studied quality can be achieved even when this intensively because of its wide applicability in areas value is unknown. Although standard document set constitutes a dimension.

This type of high to document clustering, they usually do not satisfy dimensionality greatly affects the scalability and the special requirements for clustering documents: efficiency of many existing clustering algorithms.

In addition, paragraphs. Here are the features of this algorithms only work fine for certain type of approach. This approach use others. The resulting hierarchy should document vectors, which drastically reduces facilitate browsing. It is Euclidean Distance particularly focused in studying and making use of Euclidean distance is a regular metric for cluster overlapping phenomenon to design cluster geometrical problems.

It is the common distance merging criteria. Based on space. It is also the default distance measure used the Hierarchical Clustering Method, the usage of with the K-means algorithm. It is used in the traditional k-means and make the two sub-clusters combined when their algorithm. The objective of k-means is to minimize overlap is the largest is narrated.

In other words, there may be a to the correlation between the vectors. This is significant difference between intuitively defined quantified as the cosine of the angle between vectors, clusters and the true clusters corresponding to the that is, the so-called cosine similarity.

Cosine components in the mixture similarity is one of the most popular similarity measure practical to text documents, such as in Hierarchical Analysis Model various information retrieval applications and A hierarchical clustering algorithm creates a clustering too.

An important property of the cosine hierarchical decomposition of the given set of data similarity is its independence of document length. Depending on the decomposition approach, hierarchical algorithms are classified as agglomerative merging or divisive splitting. The agglomerative approach starts with each data point in a separate cluster or with a certain large number of clusters.

Each step of this approach merges the two clusters that are the most similar. Thus after each step, the total number of clusters decreases. This is repeated until the desired number of clusters is obtained or only one cluster remains. By contrast, the divisive approach starts with all data objects in the same cluster. In each step, one cluster is split into smaller clusters, until a termination condition holds. Let the distance between data points.

STEP 2 - Find the closest most similar pair of clusters and merge them into a single cluster, so The Expectation-Maximisation EM algorithm that now you have one cluster less with the help oh The EM algorithm is a probabilistic tf - itf. Each cluster is defined by STEP 3 - Compute distances similarities probabilities for instances to have certain values for between the new cluster and each of the old clusters.

For numerical values it consists are clustered into a single cluster of size N. Expectation linkage and average-linkage clustering. In single- maximization algorithm is a popular iterative linkage clustering also called the connectedness or refinement algorithm that can be used for finding minimum method , considering the distance the parameter estimates. These algorithm used to between one cluster and another cluster to be equal find out the multiviewpoint similarity measure.

STEP 1: Make an initial guess of the parameter If the data consist of similarities, consider the vector: similarity between one cluster and another cluster to This involves randomly selecting k objects to be equal to the greatest similarity from any member represent the cluster means or center, as well as of one cluster to any member of the other cluster.

In making guesses for the additional parameters. This kind of hierarchical clustering is called agglomerative because it merges clusters iteratively. Divisive cluster membership of object xi, for each of the methods are not generally available, and rarely have clusters. Of course there is no point in having cluster memberships for oject xi. Chim and X. Knowledge and Data Eng. Pekalska, A. Harol, R. Duin, B. Spillmann, and H. Conclusion ,pp, In this paper, we propose Hierarchical [10] M.

Pelillo, What is a cluster? Perspectives Multiview point based similarity measuring method. Compared with partitional MVS clusters. The key contribution of this paper is the fundamental concept of hirarchical clustering from multiple view points.

Future based on the same concept using different alternative measures and use other methods to combine the relative similarities according to the different viewpoints. References [1] Dhillon and D. Lee, J. Duda, P. Hart, and D. Pattern Classification. Banerjee, I. Dhillon, J. Ghosh, and S. Machine Learning Research, vol. Xu, X. Liu, and Y.

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## Clustering with Multiviewpoint-Based Similarity Measure

Recently a novel multi-viewpoint based similarity MVS measure [1] has been proposed, which utilizes many different viewpoints in similarity measure and it has been successfully applied in data clustering. In this paper, we study how a semi-supervised MVS-based clustering can be developed by incorporating some prior knowledge in the form of class labels, when they are available to the user. A novel search-based semi-supervised clustering method called CMVS is proposed in the MVS manner with the help of a small percentage of objects being labeled. Two new criterion functions for clustering have been formulated accordingly, when only these labeled objects are considered as the viewpoints in the multi-viewpoints based similarity measure. Theoretical discussion has been conducted to ensure the newly proposed criterion functions make good use of the prior knowledge in terms of similarity measure, besides seeding. Empirical study is performed on various benchmark datasets to demonstrate the effectiveness and verify the merit of our proposed semi-supervised MVS clustering.

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