Regional monitoring strategies frequently employ a nested sampling design where a finite set of study areas from throughout a region are selected and intensive sampling occurs within a subset of sites within the individual study areas. This sampling protocol naturally lends itself to a hierarchical analysis to account for dependence among subsamples. Implementing such an analysis using a classi...

We study the properties of the constrained minimal supersymmetric standard model (mSUGRA) by performing fits to updated indirect data, including the relic density of dark matter inferred from WMAP5. In order to find the extent to which μ < 0 is disfavoured compared to μ > 0, we compare the Bayesian evidence values for these models, which we obtain straightforwardly and with good precision from ...

5 The Markov Chain Monte Carlo (MCMC) is a rigorous sampling method to quan6 tify uncertainty in subsurface characterization. However, the MCMC usually requires 7 many flow and transport simulations in evaluating the posterior distribution and can be 8 computationally expensive for fine-scale geological models. We propose a methodology 9 that combines coarseand fine-scale information to improve...

Sampling Techniques for Boolean Satisfiability

We propose randomized techniques for speeding up Kernel Principal Component Analysis on three levels: sampling and quantization of the Gram matrix in training, randomized rounding in evaluating the kernel expansions, and random projections in evaluating the kernel itself. In all three cases, we give sharp bounds on the accuracy of the obtained approximations. Rather intriguingly, all three tech...

The main objective of this paper is to provide experimental designs for the estimation of fixed effects and two variance components, in the presence of nested random effects. Random nested factors arise from quantity designations such as lot or batch, and from sampling and measurement procedures. We introduce a general class of designs for mixed-effects models with random nested factors, called...