In this paper, we extend the Ai-Zhang direction to the class of semidefinite optimization problems. We define a new wide neighborhood N (τ1, τ2, η) and, as usual but with a small change, we make use of the scaled Newton equations for symmetric search directions. After defining the “positive part” and the “negative part” of a symmetric matrix, we recommend to solve the Newton equation with its r...

In this paper, we extend the Ai-Zhang direction to the class of semidefinite optimization problems. We define a new wide neighborhood N (τ1, τ2, η) and, as usual, we utilize symmetric directions by scaling the Newton equation with special matrices. After defining the “positive part” and the “negative part” of a symmetric matrix, we solve the Newton equation with its right hand side replaced fir...

In this paper, new definitions of $L$-fuzzy closure operator, $L$-fuzzy interior operator, $L$-fuzzy remote neighborhood system, $L$-fuzzy neighborhood system and $L$-fuzzy quasi-coincident neighborhood system are proposed. It is proved that the category of $L$-fuzzy closure spaces, the category of $L$-fuzzy interior spaces, the category of $L$-fuzzy remote neighborhood spaces, the category of ...

Neighborhood Preserving Embedding (NPE) and extensions of NPE are hot research topics of data mining at present. An algorithm called Constraint Sparse Neighborhood Preserving Embedding (CSNPE) for dimensionality reduction is proposed in the paper. The algorithm firstly creates the local sparse reconstructive relation information of samples; then, exacts the pairwise constrain information of sam...

For two graphs $mathrm{G}$ and $mathrm{H}$ with $n$ and $m$ vertices, the corona $mathrm{G}circmathrm{H}$ of $mathrm{G}$ and $mathrm{H}$ is the graph obtained by taking one copy of $mathrm{G}$ and $n$ copies of $mathrm{H}$ and then joining the $i^{th}$ vertex of $mathrm{G}$ to every vertex in the $i^{th}$ copy of $mathrm{H}$. The neighborhood corona $mathrm{G}starmathrm{H}$ of $mathrm{G}$ and $...

urban space has been formed in historical texture of cities under the influence of meaning and shape on the onehand and qualities related to human behaviors on the other hand. among these points, neighborhood centers as themost important areas of social life in urban open space play a critical role in attracting people and improving qualityand vitality of environment. this study presents the re...

We model the number of cases of dengue fever in Rio de Janeiro, Brazil, between the 48 epidemiological week of 2001 and the 20 epidemiological week of 2002. This period comprises the worst dengue fever epidemic the city has ever experienced. The original data were aggregated across time and classified according to the district where the infected person lived. We consider the number of cases of ...

Abstract A persistent question in exoplanet demographics is whether exoplanetary systems form from similar compositional building blocks to our own. Polluted white dwarf stars offer a unique way address this question, as they provide measurements of the bulk compositions material. We present statistical analysis rocks polluting oxygen-bearing dwarfs and compare their solar system. find that maj...

In the last decades, many efforts have been made to solve multimodal optimization problems using Particle Swarm Optimization (PSO). To produce good results, these PSO algorithms need to specify some niching parameters to define the local neighborhood. In this paper, our motivation is to propose the novel neighborhood structures that remove undesirable niching parameters without sacrificing perf...