The symmetry classification problem for wave equation on sphere is considered. Symmetry algebra is found and a classification of its subalgebras, up to conjugacy, is obtained. Similarity reductions are performed for each class, and some examples of exact invariant solutions are given. © 2006 Elsevier Inc. All rights reserved.

In this paper, we discuss a number of new problems that arise in image databases, and that set them apart from traditional databases. The fact that image databases are based on similarity, rather than matching, creates a whose set of new issues.Most noticeably, while matching is, by and large, a well defined concept, there are many possible types of similarities. In this paper, we consider the ...

Distributional similarity is a useful notion in estimating the probabilities of rare joint events. It has been employed both to cluster events according to their distributions, and to directly compute averages of estimates for distributional neighbors of a target event. Here, we examine the tradeoffs between model size and prediction accuracy for cluster-based and nearest neighbors distribution...

In the paper, tangent similarity measure of neutrosophic refined set is proposed and its properties are studied. The concept of this tangent similarity measure of single valued neutrosophic refined sets is an extension of tangent similarity measure of single valued neutrosophic sets. Finally, using the propsed refined tangent similarity measure of single valued neutrosophic sets, a numerical ex...

This paper presents an automatic extraction and classification approach of opinions in texts. Therefore, we propose a similarity measurement calculating semantically similarities between a word and predefined subgroups of seed words. We have evaluated our approach on the semantic evaluation company "SemEval 2007" corpus, and we obtained promising results: the best value of Precision, 62%; and F...

This article presents new alternatives to the similarity function for the TextRank algorithm for automated summarization of texts. We describe the generalities of the algorithm and the different functions we propose. Some of these variants achieve a significative improvement using the same metrics and dataset as the original publication.

This paper presents two novel single-valued neutrosophic soft set (SVNSS) methods. First, we initiate a new axiomatic definition of single-valued neutrosophic simlarity measure, which is expressed by single-valued neutrosophic number (SVNN) that will reduce the information loss and remain more original information. Then, the objective weights of various parameters are determined via grey system...