Statistical analysis of anatomical trees is hard to perform due to differences in the topological structure of the trees. In this paper we define statistical properties of leaf-labeled anatomical trees with geometric edge attributes by considering the anatomical trees as points in the geometric space of leaf-labeled trees. This tree-space is a geodesic metric space where any two trees are conne...

We are interested in the following problem: given a tree automaton A and an incomplete tree description P , does a tree T exist such that T is accepted by A and consistent with P? A tree description is a tree-like structure which provides incomplete information about the shape of T . We show that this problem can be solved in polynomial time as long as A and the set of possible arrangements tha...

ABSTRACT: Quantitative structure-activity relationship (QSAR) study on the piperidone-grafted mono- and bis-spirooxindole-hexahydropyrrolizines as potent butyrylcholinestrase (BuChE) inhibitors were carried out using statistical methods, molecular dynamics and molecular docking simulation. QSAR methodologies, including classification and regression tree (CART), multiple linear regression (MLR),...

In this thesis, we take a statistical tree-to-tree approach to solving the problem of machine translation (MT). In a statistical tree-to-tree approach, first the source-language input is parsed into a syntactic tree structure; then the source-language tree is mapped to a targetlanguage tree. This kind of approach has several advantages. For one, parsing the input generates valuable information ...

The paper is an investigation into the graph theoretic interpretation of the Bangla traditional grammar to understand the way grammatical information is structurally encoded in language. The hierarchical and the linear structural principles of grammatical compositionality is discussed in terms of certain graph theoretic concepts like tree, subtree, inverse tree etc. Translating linguistic struc...

One-dimensional linear navigation method is commonly used in current Web browsers. That is, a Web page may include some highlighted text strings that are linked to other Web pages. This kind of navigation from one page to another page lacks the whole structure overview required for relationships between Web pages. This paper presents how to use tree structure diagram s, a 2-dimentional view, as...

Decision tree methodology is a commonly used data mining method for establishing classification systems based on multiple covariates or for developing prediction algorithms for a target variable. This method classifies a population into branch-like segments that construct an inverted tree with a root node, internal nodes, and leaf nodes. The algorithm is non-parametric and can efficiently deal ...

composition and structure of a three-storied fagus orientalis-dominated forest was investigated in the caspian forests, north of iran. circular sampling plots of 1000 m2 occupied by advance growth and natural regeneration were randomly chosen where the initial cuttings (with shelterwood aim) were performed. abundance of species at different growth stages and quality of seedlings and saplings we...

Recently, neural network based sentence modeling methods have achieved great progress. Among these methods, the recursive neural networks (RecNNs) can effectively model the combination of the words in sentence. However, RecNNs need a given external topological structure, like syntactic tree. In this paper, we propose a gated recursive neural network (GRNN) to model sentences, which employs a fu...

P systems provide a computational model based on the structure and interaction of living cells [9]. A P system consists of a hierarchical nesting of cell-like membranes, which can be visualised as a rooted tree. Although the P systems are computationally complete, many real world models, e.g., from socio-economical systems, databases, operating systems, distributed systems, seem to require more...