Molecular structure has important applications in many fields. For example, some studies show that molecular spatial information can be used to achieve better prediction results when predicting properties. However, traditional geometry calculations, such as density functional theory (DFT), are time-consuming. In view of this, we propose a model based on graph convolutional networks predict the ...

As the volume of image data and the need of using it in various applications is growing significantly in the last days it brings a necessity of retrieval efficiency and effectiveness. Unfortunately, existing indexing methods are not applicable to a wide range of problem-oriented fields due to their operating time limitations and strong dependency on the traditional descriptors extracted from th...

10 to a distance matrix|if a completion does exist, then typically we want to nd it. Although the numerical optimization approach is not deenitive in the sense of Johnson and Tarazaga 8], it is constructive in the sense that it produces a sequence of dissimilarity matrices that converges to a completion. Beyond its ability to construct (approximate) completions, the compelling advantage of the ...

This paper introduces two new matrix nearness problems that are intended to generalize the distance to instability and the distance to stability. They are named the distance to delocalization and the distance to localization due to their applicability in analyzing the robustness of eigenvalues with respect to arbitrary localization sets (domains) in the complex plane. For the open left-half pla...

For the last two decades, matrix factorization has become one of the fundamental methods for tackling recommendation problems. Recent studies demonstrate that the interaction function dot product used in MF can limit its expressiveness and lead to sub-optimal solutions. In this work, we propose modelling user-item interaction paŠerns in an alternative way by considering positions and distances ...

The structure of relationship among subjects is an interesting topic in many social studies, especially phylogeny. The between-subject relationships are commonly measured by similarity or dissimilarity metrics and represented using a distance matrix. Based on this distance matrix, a tree can be constructed to characterize the overall structure of inferred relationships among all subjects. Curre...

Face Recognition is an emerging approach in the recent years. In this paper, the formulation of a face recognition approach using contour-based shape descriptor named Multiscale Distance Matrix (MDM) is developed using the concept of inner-distance in the distance matrix instead of the Euclidean distance. In the proposed scheme, first the similarity in the shape of the face is found by taking a...

the edge versions of reverse wiener indices were introduced by mahmiani et al. veryrecently. in this paper, we find their relation with ordinary (vertex) wiener index in somegraphs. also, we compute them for trees and tuc4c8(s) naotubes.