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In this paper, a fast solver for low-frequency problem is presented. In this solver, multilevel Accelerated Cartesian expansions (MLACE) algorithm and augmented electric field integral equation (A-EFIE) are used. A-EFIE is employed because it is stable in low-frequency. In addition, since A-EFIE is based on the idea of separating the vector potential and the scalar potential, more accurate and efficient...
Brain networks are often explored with graph theoretical approaches, and community structures identified using modularity-based partitions. Despite the popularity of these methods, the significance of the obtained subnetworks is largely unaddressed in the literature. We present two parametric methods to assess the statistical significance of network partitions, and therefore control against spurious...
Despite the popularity and broad range of spectral clustering algorithms, there is little work addressing the statistical significance of clustering results. Spectral clustering uses the eigenvalues of matrices, such as the Laplacian graph or the adjacency matrix minus a null model, to partition a network. Even though the distribution of the largest eigenvalue for these matrices is not known, random...
Multivariate analysis of structural and functional brain imaging data can be used to produce network models of interaction or similarity between different brain structures. Graph partitioning methods can then be used to identify distinct subnetworks that may provide insight into the organization of the human brain. Although several efficient partitioning algorithms have been proposed, and their properties...
Chlamydia trachomatis infection, a major sexually transmitted disease, affects millions of people worldwide. A key public health challenge in managing such a transmitted disease is identifying infected but asymptomatic individuals so that they can be treated with antibiotics. Effectively resolving such a challenge will benefit both treated individuals (by improving quality of life) and the entire...
Rural regional development disparity has become a major development issue in China. As non-farm income is the main source of farm income and the key to solve regional disparity, our research focuses on farmers' non-farm income. While most existing research focused on micro factors that influence regional development disparity, our research explored macro factors, especially trade openness on non-farm...
Although models of the behavior of individual neurons and synapses are now well established, understanding the way in which they cooperate in large ensembles remains a major scientific challenge. We present two novel graph theory methods to study cortical interactions and image the highly organized structure of large scale networks. First, we present a new method to partition directed graphs into...
Graph theory provides a formal framework to investigate the functional and structural connectome of the brain. We extend previous work on modularity-based graph partitioning methods that are able to detect network community structures. We estimate the conditional expected network, provide exact analytical solutions for a Gaussian random network, and also demonstrate that this network is the best unbiased...
The objective of this paper is focused on the hygroscopic swelling effect on polymeric material used in electronic package and thermo-hygro-structure coupled design and reliability analysis for finger printer package. For moisture absorption/desorption analysis, the ambient environment for temperature and humidity are set to be 60degC60%RH, 85degC60%RH and 85degC85%RH, respectively. The transient...
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