We study the Connes spectral distance of quantum states and analyse nonlocality a 4D generalized noncommutative phase space. By virtue Hilbert–Schmidt operatorial formulation, we obtain Dirac operator construct triple corresponding to Based on ball condition, some constraint relations about optimal elements, then calculate between two Fock states. Due noncommutativity, distances in spaces are s...

In this paper we study using the classi cation-based Bhattacharyya distance measure to guide biphone clustering. The Bhattacharyya distance is a theoretical distance measure between two Gaussian distributions which is equivalent to an upper bound on the optimal Bayesian classi cation error probability. It also has the desirable properties of being computationally simple and extensible to more G...

This paper is concerned with a new distance in undirected graphs with weighted edges, which gives new insights into the structure of all minimum spanning trees of a graph. This distance is a generalized one, in the sense that it takes values in a certain Heyting semigroup. More precisely, it associates with each pair of distinct vertices in a connected component of a graph the set of all paths ...

While the size of multimedia database increases, the demand for efficient search for multimedia data becomes more and more urgent. Most recent works on audio classification and retrieval adopt Euclidean distance as their distance measures. However, Euclidean distance is not a perceptual distance measure for some audio features. The purpose of this work is to derive two new distance measures for...