The similarity of 608 molecular descriptors (including topological and geometrical indices) is measured using correlation coefficients. The computations are based on a library of 10946 diverse compounds. As a result, the second Zagreb index M2 and mwc, the molecular walk count of length 3, were found and proven to be affine dependent: mwc = 2M2.

In order to extend classical models of computing with symbols we introduce a model for quantitative computation which is based on innnite-dimensional topological linear structures. In particular machines which operate on data taken from Hilbert spaces will be looked at. These Hilbert machines (and other topological linear machines) allow the adequate treatment of concepts like innniteness and s...

Topological relations have found applications in many fields such as similarity analysis, spatial query, object matching, inconsistency detection, spatial association rule mining, spatial reasoning, and so on. This paper is concentrated on the hierarchical representation of the topological relations between a line and a region in IR. In this study, line-region relations are classified into basi...

Performances of actual mesh compression algorithms vary significantly depending on the type of model it encodes. These methods rely on prior assumptions on the mesh to be efficient, such as regular connectivity, simple topology and similarity between its elements. However, these priors are implicit in usual schemes, harming their suitability for specific models. In particular, connectivity–driv...

The classification of texts has become a major endeavor with so much electronic material available, for it is an essential task in several applications, including search engines and information retrieval. There are different ways to define similarity for grouping similar texts into clusters, as the concept of similarity may depend on the purpose of the task. For instance, in topic extraction si...

Measurement of similarity is a critical work for many applications such as text analysis, link prediction and recommendation. However, existing work stresses on content and rarely involves structural features. Even fewer methods are applicable for heterogeneous network, which is prevalent in the real world, such as bibliographic information network. To address this problem, we propose a new mea...

In this paper an approach in realization of analogy-based reasoning in semantic networks is presented. New semantic model, called Active Semantic Model (ASM), was used. Core of the process is performed by ASM’s association (semantic relation) plexus upgrading procedure based on recognition and determining similarity between association plexuses. Determining similarity between association plexus...

Content-based image retrieval system retrieves an image from a database using visual information. Among approaches to expressing visual aspects in queries, "query by sketch" is most convenient and expressive. However, the query drawn by the user is typically quite different from the target image. In this paper, a matching algorithm for imperfect queries is presented. The algorithm measures the ...

While RNAs are well known to possess complex structures, functionally similar RNAs often have little sequence similarity. While the exact size and spacing of base-paired regions vary, functionally similar RNAs have pronounced similarity in the arrangement, or topology, of base-paired stems. Furthermore, predicted RNA structures often lack pseudoknots (a crucial aspect of biological activity), a...

A new approach is presented for the development of quantitative structure–property relations (QSPR) based on the extraction of relevant molecular features with self-organizing maps and the use of a modified fuzzy-ARTMAP classifier for variable prediction. The present methodology is demonstrated for the development of a QSPR for the aqueous-phase infinite dilution activity coefficient , based on...