Population stratification using a statistical model on hypergraphs

Population stratification using a statistical model on hypergraphs

Population stratification is a problem encountered in several areas of natural science, engineering, and public health. We tackle this problem by mapping a population and its element attributes onto a hypergraph, a natural extension of the concept of graph or network to encode associations among any number of elements. On this hypergraph, we construct a statistical model reflecting our intuitio...

A New Model for Text Coherence Evaluation using Statistical Characteristics

Review and evaluation of methods correcting for population stratification with a focus on underlying statistical principles.

When two or more populations have been separated by geographic or cultural boundaries for many generations, drift, spontaneous mutations, differential selection pressures and other factors may lead to allele frequency differences among populations. If these 'parental' populations subsequently come together and begin inter-mating, disequilibrium among linked markers may span a greater genetic di...

Detecting population stratification using related individuals

Although identification of cryptic population stratification is necessary for case/control association analyses, it is also vital for linkage analyses and family-based association tests when founder genotypes are missing. However, including related individuals in an analysis such as EIGENSTRAT can result in bias; using only founders or one individual per pedigree results in loss of data and ina...

A Formal Model Of SystemC Components Using Fractal Hypergraphs

In this paper, we introduce a new mathematical structure: fractal hypergraph. Due to the hierarchical and compositional nature of fractal hypergraphs, representations based on fractal hypergraphs can capture and abstract the object-oriented nature of SystemC. We propose a formal semantics of SystemC components based on fractal hypergraphs that has already be used in a formal debugger of SystemC...