Abstract The partition function is an essential quantity in statistical mechanics, and its accurate computation a key component of any analysis quantum system phenomenon. However, for interacting many-body systems, calculation generally involves summing over exponential number terms can thus quickly grow to be intractable. Accurately efficiently estimating the corresponding Hamiltonian then becom...

The discovery of motifs in DNA sequences remains a fundamental and challenging problem in computational molecular biology and regulatory genomics, although a large number of computational methods have been proposed in the past decade. Among these methods, the Gibbs sampling strategy has shown great promise and is routinely used for finding regulatory motif elements in the promoter regions of co...

There are two generations of Gibbs sampling methods for semiparametric models involving the Dirichlet process. The first generation suffered from a severe drawback: the locations of the clusters, or groups of parameters, could essentially become fixed, moving only rarely. Two strategies that have been proposed to create the second generation of Gibbs samplers are integration and appending a sec...