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Approaches to approximate diagonalization of variable-coefficient differential operators using similarity transformations are presented. These diagonalization techniques are inspired by the interpretation of the Uncertainty Principle by Fefferman, known as the SAK Principle, that suggests the location of eigenfunctions of self-adjoint differential operators in phase space. The similarity transf...

The work presented in this paper addresses the design and implementation of a Hadoop application and the experiments performed with this application in order to compute the Jaccard similarity metrics for two very large graphs. The algorithm involved uses the MapReduce programming model, whose aim is to distribute the computing process over several machines in order to reduce the overall running...

The construction of similarity relationship among data points plays a critical role in manifold learning. There exist two popular schemes, i.e., pairwise-distance based similarity and reconstruction coefficient based similarity. Existing works only have involved one scheme of them. These two schemes have different drawbacks. For pairwisedistance based similarity graph algorithms, they are sensi...

Similarity searching is one of the most common methods for ligand-based virtual screening, and is normally carried out using the Tanimoto coefficient with binary fingerprints. However, a recent study has suggested that it may be less appropriate for use with weighted fingerprints in some circumstances. This paper compares the Tanimoto coefficient with other coefficients, and demonstrates that o...

Iris belongs toIridaceae family and it is monocotyledon. Iris is one of the important ornamental and medicinal plants. 34 iris genotypes (14 species) collected from different provinces of Iran were planted at National Institute of Ornamental Plants (NIOP) Iran. All of the species evaluated for 15 quantitative traits and 30 qualitative traits. Results showed that the highest positive correlation...