On the regularization of extremal three-point functions involving giant gravitons [PDF]
In the AdS5/CFT4 set-up, extremal three-point functions involving two giant 1/2 BPS gravitons and one point-like 1/2 BPS graviton, when calculated using semi-classical string theory methods, match the corresponding three-point functions obtained in the ...
Charlotte Kristjansen+2 more
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A characterization of trees with equal 2-domination and 2-independence numbers [PDF]
A set $S$ of vertices in a graph $G$ is a $2$-dominating set if every vertex of $G$ not in $S$ is adjacent to at least two vertices in $S$, and $S$ is a $2$-independent set if every vertex in $S$ is adjacent to at most one vertex of $S$.
Christoph Brause+2 more
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Constructing Minimal Spanning Tree Based on Rough Set Theory for Gene Selection [PDF]
Microarray gene dataset often contains high dimensionalities which cause difficulty in clustering and classification. Datasets containing huge number of genes lead to increased complexity and therefore, degradation of dataset handling performance. Often, all the measured features of these high-dimensional datasets are not relevant for understanding the
Soumen Kumar Pati, Asit Kumar Das
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Granulation Using Clustering And Rough Set Theory And Its Tree Representation [PDF]
Granular computing deals with representation of information in the form of some aggregates and related methods for transformation and analysis for problem solving. A granulation scheme based on clustering and Rough Set Theory is presented with focus on structured conceptualization of information has been presented in this paper.
Girish Kumar Singh, Sonajharia Minz
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Decision Tree Construction based on Rough Set Theory under Characteristic Relation [PDF]
Several approaches based on rough set have been proposed for constructing decision tree in complete information systems. In fact, many information systems are incomplete in practical applications. In this paper, a new algorithm, Decision Tree Construction based on Rough Set Theory under Characteristic Relation (DTCRSCR), is proposed for mining ...
Jing Song+3 more
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Data mining of the GAW14 simulated data using rough set theory and tree-based methods [PDF]
Abstract Rough set theory and decision trees are data mining methods used for dealing with vagueness and uncertainty. They have been utilized to unearth hidden patterns in complicated datasets collected for industrial processes. The Genetic Analysis Workshop 14 simulated data were generated using a system that implemented multiple ...
Cheng-Lung Huang+4 more
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A Decision Tree Algorithm Based on Rough Set Theory after Dimensionality Reduction [PDF]
Decision tree technology has proven to be a valuable way of capturing human decision making within a computer. As ID3 select those attribute as splitting attributes which have different values whether it classify dataset properly or not. There is another drawback of ID3 which repeat sub tree many times and select same attribute many times.
Manisha Tantuway+1 more
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Applications of cohomology to set theory II: Todorčević trees
Abstract We explore an application of homological algebra by developing a cohomology theory for a class of Aronszajn trees. Properties of this class, called Todorcevic trees, are examined. The system is compared to that for Hausdorff gaps introduced in the author's previous work and general results about both tree and gap systems are also proven.
Daniel Eric Talayco
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Enhancing the Color Set Partitioning in Hierarchical Tree (SPIHT) Algorithm Using Correlation Theory [PDF]
Problem statement: Efficient color image compression algorithm is essential for mass storage and the transmission of the image. The compression efficiency of the Set Partitioning in Hierarchical Tree (SPIHT) coding algorithm for color images is improved by using correlation theory.
M. Santhi, R. S.D. Wahida Banu
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Event Tree Analysis of Xinda Oil Pipeline Leakage Based on Fuzzy Set Theory [PDF]
Event tree is a logical analysis of probability for outcome events by initiating event and probable subsequent events. However, the evaluation of every single event may contain vague information or cannot be described by a crisp number of probabilities in application.
Liyu Huang, Enbin Liu, Di Wang
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